Persons: Orlov, Dmitri Olegovich

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Orlov, Dmitri Olegovich

Statistics
in MathSciNet:	65 (47)
in zbMATH:	63 (50)
in Web of Science:	58 (40)
in Scopus:	42 (40)

Full member of the Russian Academy of Sciences

Doctor of physico-mathematical sciences (2002)

Speciality:

01.01.06 (Mathematical logic, algebra, and number theory)

E-mail:

Website:

https://scholar.google.com/citations?user=nGaJWOYAAAAJ

Keywords:

derived categories, triangulated categories, (quasi)coherent sheaves, noncommutative and derived algebraic geometry, mirror symmetry.

UDC:

512.7

MSC:

14A22, 14F08, 14J33, 16E35, 16E45, 18G35, 18G70, 18G80

Subject:

Algebraic geometry, derived and noncommutative algebraic geometry, homological algebra, categories of (quasi)coherent sheaves, derived and triangulated categories, mirror symmetry.

Main publications:

D. O. Orlov, “Projective bundles, monoidal transformations, and derived categories of coherent sheaves”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 133–141
D. O. Orlov, “Equivalences of derived categories and K3 surfaces”, Algebraic geometry, 7, J. Math. Sci. (New York), 84:5 (1997), 1361–1381 , arXiv: alg-geom/9606006 $https://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?1996alg.geom..6006O$
A. Bondal, D. Orlov, “Reconstruction of a variety from the derived category and groups of autoequivalences”, Compositio Math., 125:3 (2001), 327–344 https://link.springer.com/article/10.1023/A:1002470302976, arXiv: alg-geom/9712029
D. O. Orlov, “Triangulated Categories of Singularities and D-Branes in Landau–Ginzburg Models”, Proc. Steklov Inst. Math., 246 (2004), 227–248 , arXiv: math/0302304
D. Orlov, “Derived categories of coherent sheaves and triangulated categories of singularities”, Algebra, arithmetic, and geometry, v. II, Progr. Math., 270, Birkhäuser Boston, Inc., 2009, 503–531 , arXiv: math/0503632
V. A. Lunts, D. O. Orlov, “Uniqueness of enhancement for triangulated categories”, J. Amer. Math. Soc., 23:3 (2010), 853–908 , arXiv: 0908.4187
S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183
Dmitri Orlov, “Smooth and proper noncommutative schemes and gluing of DG categories”, Adv. Math., 302 (2016), 59–105 , arXiv: 1402.7364
Dmitri Orlov, “Finite-dimensional differential graded algebras and their geometric realizations”, Adv. Math., 366 (2020), 107096 , 33 pp., arXiv: 1907.08162

https://www.mathnet.ru/eng/person11896

https://scholar.google.com/citations?user=nGaJWOYAAAAJ&hl=en

https://zbmath.org/authors/ai:orlov.dmitri-o

https://mathscinet.ams.org/mathscinet/MRAuthorID/263926

https://elibrary.ru/author_items.asp?authorid=5426

ISTINA

https://istina.msu.ru/workers/420707725

https://orcid.org/0000-0001-5479-2427

https://www.webofscience.com/wos/author/record/D-2738-2009

https://www.scopus.com/authid/detail.url?authorId=7005092960

https://www.researchgate.net/profile/Dmitri_Orlov2

https://arxiv.org/a/orlov_d_1

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	D. O. Orlov, “Triangulated Categories of Singularities and D-Branes in Landau–Ginzburg Models”, Proc. Steklov Inst. Math., 246 (2004), 227–248 , arXiv: math/0302304
2.	D. O. Orlov, “Equivalences of derived categories and K3 surfaces”, Algebraic geometry, 7, J. Math. Sci. (New York), 84:5 (1997), 1361–1381 , arXiv: alg-geom/9606006 $https://adsabs.harvard.edu/cgi-bin/bib_query?{http://adsabs.harvard.edu/cgi-bin/bib_query?1996alg.geom..6006O$	152 ^[x]
3.	D. O. Orlov, “Projective bundles, monoidal transformations, and derived categories of coherent sheaves”, Russian Acad. Sci. Izv. Math., 41:1 (1993), 133–141
4.	A. Bondal, D. Orlov, “Reconstruction of a variety from the derived category and groups of autoequivalences”, Compositio Math., 125:3 (2001), 327–344 https://link.springer.com/article/10.1023/A:1002470302976, arXiv: alg-geom/9712029	118 ^[x]
5.	V. A. Lunts, D. O. Orlov, “Uniqueness of enhancement for triangulated categories”, J. Amer. Math. Soc., 23:3 (2010), 853–908 , arXiv: 0908.4187	114 ^[x]
6.	D. Orlov, “Derived categories of coherent sheaves and triangulated categories of singularities”, Algebra, arithmetic, and geometry, v. II, Progr. Math., 270, Birkhäuser Boston, Inc., 2009, 503–531 , arXiv: math/0503632	111 ^[x]
7.	D. Orlov, A. Vishik, V. Voevodsky, “An exact sequence for $K^{M}_{*}/2$ with applications to quadratic forms”, Ann. of Math. (2), 165:1 (2007), 1–13 , arXiv: math/0101023	104 ^[x]
8.	D. O. Orlov, “Triangulated categories of singularities and equivalences between Landau–Ginzburg models”, Sb. Math., 197:12 (2006), 1827–1840 , arXiv: math/0503630
9.	D. O. Orlov, “Derived categories of coherent sheaves on Abelian varieties and equivalences between them”, Izv. Math., 66:3 (2002), 569–594 , arXiv: alg-geom/9712017
10.	D. Auroux, L. Katzarkov, D. Orlov, “Mirror symmetry for del Pezzo surfaces: vanishing cycles and coherent sheaves”, Invent. Math., 166:3 (2006), 537–582 , arXiv: math/0506166	85 ^[x]
11.	Dmitri Orlov, “Remarks on generators and dimensions of triangulated categories”, Mosc. Math. J., 9:1 (2009), 143–149 , arXiv: 0804.1163	71 ^[x]
12.	A. Kapustin, D. Orlov, “Remarks on A-branes, mirror symmetry, and the Fukaya category”, J. Geom. Phys., 48:1 (2003), 84–99 , arXiv: hep-th/0109098	71 ^[x]
13.	D. O. Orlov, “Derived categories of coherent sheaves and equivalences between them”, Russian Math. Surveys, 58:3 (2003), 511–591
14.	D. Auroux, L. Katzarkov, D. Orlov, “Mirror symmetry for weighted projective planes and their noncommutative deformations”, Ann. of Math. (2), 167:3 (2008), 867–943 , arXiv: math/0404281	64 ^[x]
15.	Dmitri Orlov, “Smooth and proper noncommutative schemes and gluing of DG categories”, Adv. Math., 302 (2016), 59–105 , arXiv: 1402.7364	59 ^[x]
16.	A. Kapustin, A. Kuznetsov, D. Orlov, “Noncommutative instantons and twistor transform”, Comm. Math. Phys., 221:2 (2001), 385–432 , arXiv: hep-th/0002193	59 ^[x]
17.	D. O. Orlov, “Derived categories of coherent sheaves and motives”, Russian Math. Surveys, 60:6 (2005), 1242–1244 , arXiv: math/0512620
18.	S. A. Kuleshov, D. O. Orlov, “Exceptional sheaves on del Pezzo surfaces”, Russian Acad. Sci. Izv. Math., 44:3 (1995), 479–513
19.	D. Orlov, “Formal completions and idempotent completions of triangulated categories of singularities”, Adv. Math., 226:1 (2011), 206–217 , arXiv: 0901.1859	46 ^[x]
20.	D. Orlov, “Matrix factorizations for nonaffine LG-models”, Math. Ann., 353:1 (2012), 95–108 , arXiv: 1101.4051	40 ^[x]
21.	A. Kapustin, D. Orlov, “Vertex algebras, mirror symmetry, and D-branes: the case of complex tori”, Comm. Math. Phys., 233:1 (2003), 79–136 , arXiv: hep-th/0010293	40 ^[x]
22.	M. Abouzaid, D. Auroux, A. I. Efimov, L. Katzarkov, D. Orlov, “Homological mirror symmetry for punctured spheres”, J. Amer. Math. Soc., 26:4 (2013), 1051–1083 , arXiv: 1103.4322	31 ^[x]
23.	S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183	29 ^[x]
24.	V. Golyshev, V. Lunts, D. Orlov, “Mirror symmetry for abelian varieties”, J. Algebraic Geom., 10:3 (2001), 433–496 , arXiv: math/9812003	23 ^[x]
25.	D. O. Orlov, “Geometric Realizations of Quiver Algebras”, Proc. Steklov Inst. Math., 290 (2015), 70–83 , arXiv: 1503.03174
26.	V. Alexeev, D. Orlov, “Derived categories of Burniat surfaces and exceptional collections”, Math. Ann., 357:2 (2013), 743–759 , arXiv: 1208.4348	19 ^[x]
27.	A. I. Efimov, V. A. Lunts, D. O. Orlov, “Deformation theory of objects in homotopy and derived categories. I. General theory”, Adv. Math., 222:2 (2009), 359–401 , arXiv: math/0702838	15 ^[x]
28.	Dmitri Orlov, “Finite-dimensional differential graded algebras and their geometric realizations”, Adv. Math., 366 (2020), 107096 , 33 pp., arXiv: 1907.08162	14 ^[x]
29.	A. Kapustin, L. Katzarkov, D. Orlov, M. Yotov, “Homological Mirror Symmetry for manifolds of general type”, Cent. Eur. J. Math., 7:4 (2009), 571–605 , arXiv: 1004.0129	14 ^[x]
30.	A. N. Kapustin, D. O. Orlov, “Lectures on mirror symmetry, derived categories, and D-branes”, Russian Math. Surveys, 59:5 (2004), 907–940 , arXiv: math/0308173
31.	A. I. Efimov, V. A. Lunts, D. O. Orlov, “Deformation theory of objects in homotopy and derived categories. II. Pro-representability of the deformation functor”, Adv. Math., 224:1 (2010), 45–102. , arXiv: math/0702839	10 ^[x]
32.	A. Canonaco, D. Orlov, P. Stellari, “Does full imply faithful?”, J. Noncommut. Geom., 7:2 (2013), 357–371 , arXiv: 1101.5931	9 ^[x]
33.	A. I. Efimov, V. A. Lunts, D. O. Orlov, “Deformation theory of objects in homotopy and derived categories III: Abelian categories.”, Adv. Math., 226:5 (2011), 3857–3911 , arXiv: math/0702840	7 ^[x]
34.	D. O. Orlov, “Quasi-coherent sheaves in commutative and non-commutative geometry”, Izv. Math., 67:3 (2003), 535–554
35.	D. O. Orlov, “Derived noncommutative schemes, geometric realizations, and finite dimensional algebras”, Russian Math. Surveys, 73:5 (2018), 865–918 , arXiv: 1808.02287
36.	D. O. Orlov, “Gluing of categories and Krull–Schmidt partners”, Russian Math. Surveys, 71:3 (2016), 594–596 , arXiv: 1606.00332
37.	D. O. Orlov, “Exceptional set of vector bundles on the variety $V_5$”, Moscow Univ. Math. Bull., 46:5 (1991), 48–50
38.	D. O. Orlov, “Finite-dimensional DG algebras and their properties”, Russian Math. Surveys, 74:4 (2019), 764–766
39.	D. O. Orlov, “Smooth DG algebras and twisted tensor product”, Russian Math. Surveys, 78:5 (2023), 853–880
40.	D. O. Orlov, “Twisted tensor products of DG algebras”, Russian Math. Surveys, 76:6 (2021), 1146–1148
41.	L. A. Borisov, D. O. Orlov, “Equivariant exceptional collections on smooth toric stacks”, Izv. Math., 83:4 (2019), 698–730
42.	D. O. Orlov, M. V. Zaicev, A. A. Klyachko, A. A. Mikhalev, Yu. G. Prokhorov, D. A. Timashev, “Research activity of the Chair of Higher Algebra”, Moscow University Mathematics Bulletin, 80:1 (2025), 8–14
43.	A. I. Efimov, D. O. Orlov, “Remarks on regular and smooth DG algebras”, Russian Math. Surveys, 80:4 (2025), 723–725
44.	Dmitri Orlov, “Twisted tensor product, smooth DG algebras, and noncommutative resolutions of singular curves”, Funct. Anal. Appl., 58:4 (2024), 384–408 , Dedicated to the blessed memory of Ludwig Dmitrievich Faddeev on the occasion of his 90th birthday, arXiv: 2405.04738
45.	A. G. Kuznetsov, D. O. Orlov, N. A. Tyurin, A. L. Gorodentsev, “Collective obituary. Sergey A. Kuleshov (24.12.1962 – 15.05.2021)”, Math. Ed., 2021, no. 2(98), 2–4
46.	D. Orlov, “Landau–Ginzburg models, D-branes, and Mirror Symmetry”, Matemática Contemporânea, 41 (2012), 75–112 , arXiv: 1111.2962
47.	A. Bondal, D. Orlov, “Derived categories of coherent sheaves”, Proceedings of the International Congress of Mathematicians (Beijing, 2002), v. II, Higher Ed. Press, Beijing, 2002, 47–56 , arXiv: math/0206295
48.	A. Bondal, D. Orlov, Semiorthogonal Decompositions For Algebraic Varieties, MPIM1995-15 http://www.mpim-bonn.mpg.de/preblob/3715, Max-Planck-Institut für Mathematik, Bonn, 1995 , 55 pp., arXiv: alg-geom/9506012
49.	L. V. Katsarkov, D. O. Orlov, “Prym varieties of hyperelliptic curves and their applications to nonlinear equations”, Moscow Univ. Math. Bull., 44:2 (1989), 65–69 ;
50.	F. A. Bogomolov, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, A. V. Pukhlikov, M. Reid, I. R. Shafarevich, V. V. Shokurov, “Vasilii Alekseevich Iskovskikh (obituary)”, Russian Math. Surveys, 64:5 (2009), 939–946
51.	V. A. Alexeev, S. O. Gorchinskiy, M. G. Zaidenberg, A. G. Kuznetsov, J. McKernan, S. Mori, D. O. Orlov, V. V. Przyjalkowski, N. A. Tyurin, A. I. Shafarevich, V. V. Shokurov, C. A. Shramov, “Yurii Gennadievich Prokhorov (on his sixtieth birthday)”, Russian Math. Surveys, 80:4 (2025), 733–741
52.	N. N. Andreev, S. E. Boichenko, S. O. Gorchinskiy, V. V. Kozlov, N. Yu. Lukoyanov, D. K. Mamii, D. O. Orlov, A. M. Raigorodskii, “The Third Conference of Russian Mathematical Centers”, Russian Math. Surveys, 79:1 (2024), 183–187
53.	N. N. Andreev, M. A. Vsemirnov, S. O. Gorchinskiy, D. N. Zaporozhets, S. V. Kislyakov, V. V. Kozlov, M. A. Korolev, D. O. Orlov, Yu. S. Osipov, D. V. Treschev, P. A. Yaskov, “Steklov Institute – 90!”, Russian Math. Surveys, 79:3 (2024), 557–562
54.	S. O. Gorchinskiy, V. G. Danilov, S. Yu. Dobrokhotov, V. V. Kozlov, V. E. Nazaikinskii, N. N. Nefedov, D. O. Orlov, S. A. Stepin, I. A. Taimanov, D. V. Treschev, N. A. Tyurin, A. T. Fomenko, S. E. Yakush, “Andrei Igorevich Shafarevich (on his sixtieth birthday)”, Russian Math. Surveys, 79:3 (2024), 553–556
55.	A. I. Aptekarev, S. I. Bezrodnykh, M. A. Guzev, S. I. Kabanikhin, B. S. Kashin, S. V. Kislyakov, V. V. Kozlov, N. Yu. Lukoyanov, M. B. Markov, D. O. Orlov, Yu. S. Osipov, I. B. Petrov, V. P. Platonov, I. A. Taimanov, V. F. Tishkin, D. V. Treschev, E. E. Tyrtyshnikov, M. V. Yakobovskiy, “Boris Nikolaevich Chetverushkin (on his eightieth birthday)”, Russian Math. Surveys, 79:4 (2024), 739–745
56.	F. A. Bogomolov, A. M. Vershik, S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarhin, S. V. Konyagin, Vik. S. Kulikov, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, I. A. Panin, V. P. Platonov, V. L. Popov, Yu. G. Prokhorov, A. L. Smirnov, “Alexey Nikolaevich Parshin (obituary)”, Russian Math. Surveys, 78:3 (2023), 549–554
57.	S. O. Gorchinskiy, Vik. S. Kulikov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, V. L. Popov, N. A. Tyurin, G. B. Shabat, A. I. Shafarevich, V. V. Shokurov, “Igor Rostislavovich Shafarevich (on the centenary of his birthday)”, Russian Math. Surveys, 78:6 (2023), 1167–1178
58.	F. A. Bogomolov, S. O. Gorchinskiy, A. B. Zheglov, V. V. Nikulin, D. O. Orlov, D. V. Osipov, A. N. Parshin, V. L. Popov, V. V. Przyjalkowski, Yu. G. Prokhorov, M. Reid, A. G. Sergeev, D. V. Treschev, A. K. Tsikh, I. A. Cheltsov, E. M. Chirka, “Viktor Stepanovich Kulikov (on his 70th birthday)”, Russian Math. Surveys, 77:3 (2022), 555–557
59.	A. A. Agrachev, R. V. Gamkrelidze, V. V. Kozlov, Yu. I. Zhuravlev, A. V. Mikhalev, A. V. Ovchinnikov, D. O. Orlov, V. L. Popov, V. G. Romanov, A. L. Semenov, V. G. Chirskii, V. A. Shamolin, “To the 55th anniversary of Professor M. V. Shamolin”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 210, VINITI, Moscow, 2022, 3–5
60.	V. A. Alexeev, C. Birkar, F. A. Bogomolov, Yu. G. Zarhin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, A. S. Tikhomirov, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 70th birthday)”, Russian Math. Surveys, 76:3 (2021), 553–556
61.	A. I. Shafarevich, V. N. Chubarikov, D. O. Orlov, A. O. Ivanov, A. V. Mikhalev, V. G. Chirskii, A. Yu. Ol'shanskii, M. V. Zaicev, I. B. Kozhukhov, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, I. N. Balaba, “In memory of Vyacheslav Alexandrovich Artamonov”, Chebyshevskii Sb., 22:5 (2021), 417–418
62.	S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Russian Math. Surveys, 75:2 (2020), 387–391
63.	S. V. Bolotin, A. V. Borisov, A. V. Karapetyan, B. S. Kashin, E. I. Kugushev, A. I. Neishtadt, D. O. Orlov, D. V. Treschev, “Valerii Vasil'evich Kozlov (on his 70th birthday)”, Russian Math. Surveys, 75:6 (2020), 1165–1180
64.	V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933
65.	V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162
66.	A. A. Beilinson, A. S. Vishik, D. A. Kazhdan, M. M. Kapranov, A. S. Merkurjev, D. O. Orlov, I. A. Panin, A. A. Suslin, N. A. Tyurin, G. B. Shabat, “Vladimir Aleksandrovich Voevodsky (obituary)”, Russian Math. Surveys, 73:3 (2018), 519–531
67.	I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545
68.	V. M. Buchstaber, S. M. Gusein-Zade, M. È. Kazarian, V. V. Kozlov, S. K. Lando, S. P. Novikov, D. O. Orlov, A. G. Khovanskii, “Viktor Anatolevich Vassiliev (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1153–1157
69.	S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197
70.	F. A. Bogomolov, Yu. G. Zarhin, Vik. S. Kulikov, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 60th birthday)”, Russian Math. Surveys, 65:6 (2010), 1193–1198
71.	V. A. Vassiliev, Yu. G. Zarhin, V. A. Iskovskikh, D. B. Kaledin, Vik. S. Kulikov, Yu. I. Manin, D. O. Orlov, A. N. Parshin, I. R. Shafarevich, “Fedor Alekseevich Bogomolov (on his 60th birthday)”, Russian Math. Surveys, 62:6 (2007), 1233–1237
72.	I. R. Shafarevich, D. O. Orlov, N. A. Tyurin, “Preface”, Proc. Steklov Inst. Math., 246 (2004), 1–2
73.	F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich, “Andrei Nikolaevich Tyurin (obituary)”, Russian Math. Surveys, 58:3 (2003), 597–605
74.	D. O. Orlov, “Letter to the editors”, Izv. RAN. Ser. matem., 89:6 (2025), 219–220
75.	Sovremennye problemy matematiki, mekhaniki i matematicheskoi fiziki. II, Sbornik statei, Trudy MIAN, 294, ed. D. O. Orlov, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2016 , 327 pp.
76.	Sovremennye problemy matematiki, mekhaniki i matematicheskoi fiziki, Sbornik statei, Trudy MIAN, 290, ed. D. O. Orlov, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2015 , 343 pp.

Presentations in Math-Net.Ru

1.	Семинар 11. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov December 3, 2025 18:00
2.	Семинар 10. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov November 26, 2025 18:00
3.	Семинар 9. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov November 19, 2025 18:00
4.	Семинар 8. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov November 12, 2025 18:00
5.	Семинар 7. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov November 5, 2025 18:00
6.	Семинар 6. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov October 29, 2025 18:00
7.	Семинар 5. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov October 22, 2025 18:00
8.	Do we need non-commutative geometry? D. O. Orlov Differential geometry and applications October 20, 2025 16:45
9.	Семинар 4. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov October 15, 2025 18:00
10.	Семинар 3. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov October 8, 2025 18:00
11.	Семинар 2. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov October 1, 2025 18:00
12.	Семинар 1. Проблема рациональности в алгебраической геометрии D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov September 17, 2025 18:00
13.	Автостопом по алгебраической геометрии D. O. Orlov Summer Student School on Topology 2025 July 2, 2025
14.	Geometric realizations of algebraic objects and derived non-commutative algebraic geometry D. O. Orlov International conference “Number-theoretic aspects of linear algebraic groups and algebraic varieties: results and prospects” dedicated to 85-th anniversary of academician V.P. Platonov June 19, 2025 12:50
15.	Геометрические реализации алгебраических объектов и производная некоммутативная алгебраическая геометрия D. O. Orlov Differential geometry and applications March 10, 2025 16:45
16.	Noncommutative algebraic geometry and geometric realisations of algebraic objects Dmitri Orlov Sino-Russian Interdisciplinary Mathematical Conference-2 November 26, 2024 16:00
17.	Автостопом по алгебраической геометрии D. O. Orlov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024 July 27, 2024 17:15
18.	Скрученное тензорное произведение, гладкие алгебры и некоммутативное разрешение особых кривых D. O. Orlov Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev May 30, 2024 12:00
19.	Отдел алгебраической геометрии D. O. Orlov Conference MIAN-90, dedicated to the 90th anniversary of Steklov Mathematical Institute May 13, 2024 17:40
20.	Twisted tensor product and non-commutative resolutions of singular curves Dmitri Orlov Conference “Birational geometry and Fano varieties” dedicated to Yu.G. Prokhorov 60th anniversary March 12, 2024 16:30
21.	Гладкие алгебры и скрученное тензорное произведение D. O. Orlov September 19, 2023 12:30
22.	Smooth DG algebras and twisted tensor product D. O. Orlov Shafarevich Seminar September 12, 2023 15:00
23.	Smooth DG algebras and twisted tensor product D. O. Orlov Sino-Russian Hybrid Conference "Geometry and Physics" August 28, 2023 15:30
24.	Кривые, L-функции и гипотеза Бёрча–Свиннертон-Дайера D. O. Orlov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023 July 23, 2023 15:30
25.	Открытие D. O. Orlov Conference on algebra, algebraic geometry, and number theory on the occasion of academician Igor Rostislavovich Shafarevich 100th birthday June 5, 2023 10:50
26.	Конечномерные ДГ алгебры и их свойства D. O. Orlov “Numbers and functions” – Memorial conference for 80th birthday of Alexey Nikolaevich Parshin November 28, 2022 16:40
27.	Гипотеза Морделла. Семинар 2 D. O. Orlov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 23, 2022 17:15
28.	Гипотеза Морделла. Лекция 1 D. O. Orlov Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2022 July 21, 2022 17:15
29.	Exceptional collections, mirror symmetry, and Dubrovin’s conjecture D. O. Orlov International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin November 17, 2021 16:00
30.	ABC-гипотеза и ее следствия. Лекция Д. О. Орлов Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 22, 2021 17:15
31.	Geometric realizations, gluings, and birational geometry D. O. Orlov Conference on Birational Geometry "Shokurov 70+1" May 18, 2021 12:30
32.	Geometric realizations of algebraic objects D. O. Orlov Steklov Mathematical Institute Seminar March 18, 2021 16:00
33.	Finite-dimensional differential graded algebras and their geometric realizations D. O. Orlov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2020 November 25, 2020 12:15
34.	Конечномерные дифференциально-градуированные (ДГ) алгебры и их свойства D. O. Orlov Shafarevich Seminar September 22, 2020 15:00
35.	Семинар 6. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" March 18, 2020 16:00
36.	Семинар 5. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" March 11, 2020 16:00
37.	Семинар 4. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" March 4, 2020 16:00
38.	Семинар 3. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" February 26, 2020 16:00
39.	Семинар 2. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" February 19, 2020 16:00
40.	Семинар 1. Алгебраическая геометрия D. O. Orlov, Yu. G. Prokhorov, C. A. Shramov Seminar by D. O. Orlov, Yu. G. Prokhorov and C. A. Shramov "Algebraic geometry" February 12, 2020 16:00
41.	Эллиптические кривые и гипотеза Бёрча – Свиннертон-Дайера D. O. Orlov July 25, 2019 17:15
42.	Derived noncommutative schemes, geometric realizations, and finite dimensional algebras D. Orlov Korean–Russian Algebraic Geometry Meeting April 5, 2019 17:00
43.	Geometric realizations of finite dimensional algebras and derived noncommutative geometry D. O. Orlov Seminar "Complex analysis in several variables" (Vitushkin Seminar) October 3, 2018 16:45
44.	Geometric realisations of algebraic objects D. O. Orlov International conference ''Algebra, algebraic geometry and number theory'' dedicated to the memory of academician Igor Rostislavovich Shafarevich June 13, 2018 16:20
45.	От коммутативной к некоммутативной геометрии: когерентные пучки и производные категории. Лекция 3 D. O. Orlov July 7, 2017
46.	От коммутативной к некоммутативной геометрии: когерентные пучки и производные категории. Лекция 2 D. O. Orlov July 5, 2017
47.	От коммутативной к некоммутативной геометрии: когерентные пучки и производные категории. Лекция 1 D. O. Orlov July 3, 2017
48.	Geometric realizations of noncommutative varieties and phantoms D. O. Orlov Simons Center for Geometry and Physics, Physics Seminar April 5, 2017 13:30
49.	Quivers, noncommutative varieties, and their geometric realizations D. O. Orlov Simons Center for Geometry and Physics, Weekly Talk April 4, 2017 13:00
50.	Noncommutative algebraic varieties, their properties and geometric realizations. Lecture 3 D. O. Orlov Noncommutative algebraic varieties, their properties and geometric realizations February 8, 2017 10:45
51.	Noncommutative algebraic varieties, their properties and geometric realizations. Lecture 2 D. O. Orlov Noncommutative algebraic varieties, their properties and geometric realizations February 3, 2017 10:45
52.	Noncommutative algebraic varieties, their properties and geometric realizations. Lecture 1 D. O. Orlov Noncommutative algebraic varieties, their properties and geometric realizations February 1, 2017 10:45
53.	Некоммутативная алгебраическая геометрия, склейки категорий, партнеры Крулля–Шмидта и фантомы D. O. Orlov Shafarevich Seminar September 27, 2016 15:00
54.	Конечномерные алгебры и представления колчанов. Занятие 4 D. O. Orlov Summer School "Contemporary Mathematics", 2016 July 27, 2016 17:15
55.	Конечномерные алгебры и представления колчанов. Занятие 3 D. O. Orlov Summer School "Contemporary Mathematics", 2016 July 25, 2016 17:15
56.	Конечномерные алгебры и представления колчанов. Занятие 2 D. O. Orlov Summer School "Contemporary Mathematics", 2016 July 22, 2016 15:30
57.	Конечномерные алгебры и представления колчанов. Занятие 1 D. O. Orlov Summer School "Contemporary Mathematics", 2016 July 20, 2016 17:15
58.	Noncommutative varieties and their geometric realizations D. O. Orlov 5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories June 10, 2016 12:30
59.	Mathematics in Russian Academy of Sciences D. O. Orlov The meeting of executive committee of EMS in Moscow November 28, 2015 18:00
60.	Noncommutative algebraic geometry: from mathematics to physics and back again D. O. Orlov Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences October 1, 2015 16:00
61.	Mirror symmetry, Landau-Ginzburg models and D-branes D. O. Orlov Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models" September 24, 2015 14:00
62.	Конечномерные алгебры и алгебраическая геометрия. Занятие 4 D. O. Orlov Summer School "Contemporary Mathematics", 2015 July 28, 2015 17:15
63.	Конечномерные алгебры и алгебраическая геометрия. Занятие 3 D. O. Orlov Summer School "Contemporary Mathematics", 2015 July 25, 2015 12:45
64.	Конечномерные алгебры и алгебраическая геометрия. Занятие 2 D. O. Orlov Summer School "Contemporary Mathematics", 2015 July 22, 2015 11:15
65.	Конечномерные алгебры и алгебраическая геометрия. Занятие 1 D. O. Orlov Summer School "Contemporary Mathematics", 2015 July 20, 2015 17:15
66.	Geometric realizations of exceptional collections D. O. Orlov Shafarevich Seminar February 24, 2015 15:00
67.	Российская школа алгебраической геометрии: немного истории и некоторые результаты D. O. Orlov Conference "Moscow Mathematical Society and Lomonosov Moscow State University" dedicated to the 150th anniversary of Moscow Mathematical Society December 24, 2014 15:00
68.	Гладкие и собственные некоммутативные схемы и их склейки D. O. Orlov December 19, 2014
69.	Заседание, посвященное памяти Василия Алексеевича Исковских L. Katzarkov, D. O. Orlov, V. V. Przyjalkowski, Yu. G. Prokhorov, V. V. Shokurov Meetings of the Moscow Mathematical Society December 9, 2014
70.	Алгебраические кривые. Лекция 3 D. O. Orlov Summer School "Contemporary Mathematics", 2014 July 24, 2014 11:15
71.	Алгебраические кривые. Лекция 2 D. O. Orlov Summer School "Contemporary Mathematics", 2014 July 23, 2014 17:00
72.	Алгебраические кривые. Лекция 1 D. O. Orlov Summer School "Contemporary Mathematics", 2014 July 21, 2014 17:00
73.	Smooth noncommutative varieties and their gluing D. O. Orlov Fourth international workshop "Combinatorics of Moduli Spaces, Cluster Algebras and Topological Recursion" May 31, 2014 12:30
74.	Основная теорема арифметики, АВС-гипотеза и другие гипотезы теории чисел D. O. Orlov Popular Lectures on Mathematics and Related Sciences March 23, 2014
75.	Гладкие и собственные некоммутативные схемы и склейки дифференциально-градуированных категорий II (продолжение) D. O. Orlov Shafarevich Seminar March 11, 2014 15:00
76.	Гладкие и собственные некоммутативные схемы и склейки дифференциально-градуированных категорий D. O. Orlov Shafarevich Seminar March 4, 2014 15:00
77.	Mirror symmetry: quantum cohomology, Landau–Ginzburg models & D-branes. Lecture 4 D. O. Orlov October 2, 2013 14:30
78.	Mirror symmetry: quantum cohomology, Landau–Ginzburg models & D-branes. Lecture 3 D. O. Orlov October 2, 2013 11:00
79.	Mirror symmetry: quantum cohomology, Landau–Ginzburg models & D-branes. Lecture 2 D. O. Orlov October 1, 2013
80.	Mirror symmetry: quantum cohomology, Landau–Ginzburg models & D-branes. Lecture 1 D. O. Orlov September 30, 2013
81.	Квадратичные формы и гипотезы Милнора. Лекция 2 D. O. Orlov Summer School "Contemporary Mathematics", 2013 July 27, 2013 17:00
82.	Квадратичные формы и гипотезы Милнора. Лекция 1 D. O. Orlov Summer School "Contemporary Mathematics", 2013 July 26, 2013 15:30
83.	Производные категории когерентных пучков и геометрические фантомные категории D. O. Orlov June 27, 2013
84.	Категории в геометрии и физике: зеркальная симметрия, D-браны и модели Ландау–Гинзбурга D. O. Orlov June 27, 2013
85.	Geometric phantom categories D. O. Orlov Seminar "Complex analysis in several variables" (Vitushkin Seminar) October 31, 2012 16:45
86.	Opening ceremony D. O. Orlov Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin (24.02.1940–27.10.2002) "Algebraic and Differential Geometry of Andrei Tyurin" October 24, 2012 11:00
87.	Derived categories of Burniat surfaces and phantoms D. O. Orlov International workshop "Relation of String Theory to Gauge Theories and Moduli Problems of Branes" September 13, 2012 16:30
88.	Derived categories of Burniat surfaces and exceptional collections D. O. Orlov Weekly seminar of Laboratory of algebraic geometry September 7, 2012 17:00
89.	Зеркальная симметрия, D-браны и модели Ландау-Гинзбурга с математической точки зрения D. O. Orlov General Meeting of the Branch of Mathematical Sciences, RAS May 21, 2012 11:50
90.	D-branes of type B in Landau–Ginzburg models and mirror symmetry Dmitri Orlov Russian–German conference on Several Complex Variables February 27, 2012 16:40
91.	От D-бран к зеркальной симметрии и обратно D. O. Orlov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS February 17, 2012 16:00
92.	Categories in geometry and physics: mirror symmetry, D-branes and Landau–Ginzburg models D. O. Orlov Steklov Mathematical Institute Seminar January 19, 2012 16:00
93.	Milnor conjecture. Lecture 2 D. O. Orlov Summer School "Contemporary Mathematics", 2011 July 27, 2011 11:15
94.	Триангулированные категории в геометрии, алгебре и физике D. O. Orlov Weekly seminar of Laboratory of algebraic geometry June 10, 2011 17:00
95.	Integral quadratic forms and 15 theorem D. O. Orlov Summer School "Contemporary Mathematics", 2010 July 27, 2010 12:45
96.	ABC-conjecture and its corollaries D. O. Orlov Summer School "Contemporary Mathematics", 2010 July 25, 2010 17:00
97.	Топологические гомологии Хохшильда D. Kaledin, D. O. Orlov Seminar on Geometry of Algebraic Varieties March 26, 2010 15:00
98.	Algebraic Geometry. Lecture 11 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» December 2, 2009
99.	Algebraic Geometry. Lecture 10 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» November 25, 2009
100.	Differenrial graded and triangulated categories in geometry, algebra and physics D. O. Orlov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences November 19, 2009 14:00
101.	Algebraic Geometry. Lecture 9 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» November 18, 2009
102.	Algebraic Geometry. Lecture 8 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» November 11, 2009
103.	Единственность оснащений для триангулированных категорий D. O. Orlov Seminar by Algebra Department November 10, 2009 15:00
104.	Algebraic Geometry. Lecture 7 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» October 28, 2009
105.	Триангулированные категории, их генераторы и размерностные спектры D. O. Orlov Seminar by Algebra Department October 27, 2009
106.	Algebraic Geometry. Lecture 6 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» October 21, 2009
107.	Algebraic Geometry. Lecture 5 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» October 14, 2009
108.	Algebraic Geometry. Lecture 4 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» October 7, 2009
109.	Algebraic Geometry. Lecture 3 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» September 30, 2009
110.	Algebraic Geometry. Lecture 2 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» September 23, 2009
111.	Algebraic Geometry. Lecture 1 D. O. Orlov Course by D. O. Orlov «Algebraic Geometry» September 16, 2009
112.	Projective planes and algebraic geometry. IV D. O. Orlov Summer School "Contemporary Mathematics", 2009 July 28, 2009 15:30
113.	Projective planes and algebraic geometry. III D. O. Orlov Summer School "Contemporary Mathematics", 2009 July 27, 2009 11:15
114.	Projective planes and algebraic geometry. II D. O. Orlov Summer School "Contemporary Mathematics", 2009 July 26, 2009 11:15
115.	Projective planes and algebraic geometry. I D. O. Orlov Summer School "Contemporary Mathematics", 2009 July 24, 2009 17:00
116.	Open ceremony D. O. Orlov, A. G. Sergeev, A. N. Parshin, M. Reid, V. V. Shokurov International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh June 29, 2009 10:00
117.	Mirror symmetry and D-branes in Landau–Ginzburg models D. O. Orlov The second annual conference-meeting MIAN–POMI "Algebra and Algebraic Geometry" December 26, 2008 14:00
118.	Размерности триангулированных категорий и генераторы в них D. O. Orlov Seminar by Algebra Department November 13, 2007 15:00
119.	Mirror symmetry from the mathematical point of view Dmitry Orlov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences October 9, 2006
120.	Зеркальная симметрия с математической точки зрения D. O. Orlov Meetings of the Moscow Mathematical Society October 3, 2006
121.	Триангулированные категории особенностей и их свойства D. O. Orlov Seminar by Algebra Department September 19, 2006
122.	Mirror symmetry for rational surfaces D. O. Orlov Seminar by Algebra Department November 29, 2005
123.	Зеркальная симметрия для взвешенных проективных плоскостей и поверхностей дель-Пеццо D. O. Orlov Seminar by Algebra Department April 19, 2005
124.	Триангулированные категории особенностей и эквивалентности между ними D. O. Orlov A. Bondal Seminar February 10, 2005
125.	Derived categories of coherent sheaves A. I. Bondal, D. O. Orlov Steklov Mathematical Institute Seminar March 20, 2003

Books in Math-Net.Ru

Modern problems of mathematics, mechanics, and mathematical physics. II, Collected papers, Trudy Mat. Inst. Steklova, 294, ed. D. O. Orlov, A. G. Sergeev, 2016, 327 с.
http://mi.mathnet.ru/book1618
Modern problems of mathematics, mechanics, and mathematical physics, Collected papers, Trudy Mat. Inst. Steklova, 290, ed. D. O. Orlov, A. G. Sergeev, 2015, 343 с.
http://mi.mathnet.ru/book1589

Organisations