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Multidimensional Residues and Tropical Geometry
(June 14–18, 2021, Sochi)

The goal of this workshop is a comprehensive discussion of currently interesting topics of complex analysis in several variables and its applications. We give special attention to multidimensional residues, integral representations and their applications to description of structure of discriminantal sets, domains of convergence of the Mellin-Barnes integrals, problems of invariant theory, theory of motives, and differential operators theory. We plan to discuss also problems of the pluripotential theory and its relations to the theory of super-currents and tropical geometry, recent advances in the CR-geometry and the problem of description of real hypersurfaces in complex manifolds; multidimesional aspects of approximation and interpolation, as well as related problems of algebraic geometry, singularity theory, and mathematical physics.

Financial support. The conference is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2019-1614).

 E-mail: email Website: https://sochisirius.ru/smc
 Multidimensional Residues and Tropical Geometry, Sochi, June 14–18, 2021 June 14, 2021 (Mon) Plenary session 1. Witt vectors ring and the residue mapD. KaledinJune 14, 2021 09:30–10:30, Plenary session, Sochi 2. Mappings from open Riemann surfaces to the twice punctured complex plane and the restricted validity of Gromov's Oka principleB. JörickeJune 14, 2021 11:00–12:00, Plenary session, Sochi 3. Generalized amoebas of the second kindI. M. KricheverJune 14, 2021 12:00–13:00, Plenary session, Sochi Section I 4. Higher-dimensional Contou-Carrère symbol, IS. O. GorchinskiyJune 14, 2021 14:30–15:30, Section I, Sochi 5. Higher-dimensional Contou-Carrère symbol, IID. V. OsipovJune 14, 2021 15:30–16:30, Section I, Sochi 6. Multidimensional Mellin Transforms: Fundamental CorrespondenceI. A. AntipovaJune 14, 2021 17:00–18:00, Section I, Sochi 7. Relative Milnor $K$-groups and Kahler differentialsD. N. TyurinJune 14, 2021 18:00–18:30, Section I, Sochi 8. The Hartogs extension phenomenon in toric varietiesS. V. FeklistovJune 14, 2021 18:30–19:00, Section I, Sochi Section II 9. Rigid spheres and homogeneous Sasakian manifoldsG. SchmalzJune 14, 2021 14:30–15:30, Section II, Sochi 10. Fundamental theorem of projective geometry in multidimensional complex analysisN. G. KruzhilinJune 14, 2021 15:30–16:30, Section II, Sochi 11. Local polynomially convex hulls of Levi-flat singularitiesA. B. SukhovJune 14, 2021 17:00–18:00, Section II, Sochi 12. Applications of the Multisummability theory in Complex AnalysisI. G. KossovskiiJune 14, 2021 18:00–19:00, Section II, Sochi June 15, 2021 (Tue) Plenary session 13. Topological insulators invariant under time reversal: an overviewA. G. SergeevJune 15, 2021 09:30–11:30, Plenary session, Sochi 14. Pseudomeromorphic currentsM. AnderssonJune 15, 2021 11:00–12:00, Plenary session, Sochi 15. Automorphism groups of compact complex varietiesYu. G. ProkhorovJune 15, 2021 12:00–13:00, Plenary session, Sochi Section I 16. An extended Monge-Ampère operatorE. WulcanJune 15, 2021 14:30–15:30, Section I, Sochi 17. A pullback on a class of currentsH. Samuelsson KalmJune 15, 2021 15:30–16:30, Section I, Sochi 18. Chern Currents of Coherent SheavesR. LärkängJune 15, 2021 17:00–17:30, Section I, Sochi 19. Positivity for codimension one holomorphic foliationsA. GolotaJune 15, 2021 17:30–18:00, Section I, Sochi 20. On interpolation with finite Blaschke productsS. I. KalmykovJune 15, 2021 18:00–18:30, Section I, Sochi 21. About the Blaschke products in polydiscsM. E. DurakovJune 15, 2021 18:30–19:00, Section I, Sochi Section II 22. Holomorphic continuation of a formal series along analytic curvesA. S. SadullaevJune 15, 2021 14:30–15:30, Section II, Sochi 23. Set interpolation by plurisubharmonic geodesicsA. Yu. RashkovskiiJune 15, 2021 15:30–16:30, Section II, Sochi 24. Finite jet determination for CR mappingsA. E. TumanovJune 15, 2021 17:00–18:00, Section II, Sochi 25. Polynomially convex embeddings and approximation of functionsR. G. ShafikovJune 15, 2021 18:00–19:00, Section II, Sochi June 16, 2021 (Wed) Plenary session 26. Underlying algebraic varieties of algebraic groupsV. L. PopovJune 16, 2021 09:30–10:30, Plenary session, Sochi 27. Multidimensional residue calculus over $\mathbb Q$ or $\overline{\mathbb Q}$A. YgerJune 16, 2021 11:00–12:00, Plenary session, Sochi 28. Variations on the theme of classical discriminantV. V. BatyrevJune 16, 2021 12:00–13:00, Plenary session, Sochi June 17, 2021 (Thu) 29. Balance and rigidity conditions for subvarieties in $(\mathbb C^*)^n$A. G. KhovanskiiJune 17, 2021 17:00–18:00, Plenary session, Sochi 30. Higher convexity of tropical objectsF. SottileJune 17, 2021 18:00–19:00, Plenary session, Sochi Section I 31. Landau–Ginzburg models, Calabi–Yau compactifications, and KKP and P=W conjecturesV. V. PrzyjalkowskiJune 17, 2021 09:30–10:30, Section I, Sochi 32. Germs of finite covers of the plane branched in germs of curves with ADE singularities and Belyi pairsVik. S. KulikovJune 17, 2021 11:00–12:00, Section I, Sochi 33. Finite groups acting on algebraic varieties in positive characteristicÑ. A. ShramovJune 17, 2021 12:00–13:00, Section I, Sochi 34. Automorphisms groups of pointless del Pezzo surfacesA. S. TrepalinJune 17, 2021 14:30–15:00, Section I, Sochi 35. Boundedness of divisors on Fano fibrationsK. V. LoginovJune 17, 2021 15:00–15:30, Section I, Sochi 36. Indices of 1-forms and quadratic formsS. M. Gusein-ZadeJune 17, 2021 15:30–16:30, Section I, Sochi Section II 37. Multivariate hypergeometric polynomials and their amoebasT. M. SadykovJune 17, 2021 09:30–10:30, Section II, Sochi 38. On compacts possessing strictly plurisubharmonic functionsN. V. ShcherbinaJune 17, 2021 11:00–12:00, Section II, Sochi 39. Integral representation of the group operation of the local Lie group. The reduced form of the Campbell-Hausdorff seriesV. A. StepanenkoJune 17, 2021 12:00–12:30, Section II, Sochi 40. Analytic Continuation of Diagonals of Laurent Series for Rational FunctionsD. Yu. PochekutovJune 17, 2021 12:30–13:00, Section II, Sochi 41. On holomorphically homogeneous hypersurfaces in $\mathbb C^4$A. V. LobodaJune 17, 2021 14:30–15:30, Section II, Sochi 42. The model surface method: a new stepV. K. BeloshapkaJune 17, 2021 15:30–16:30, Section II, Sochi June 18, 2021 (Fri) Section I 43. Phase tropical varieties those are degenerations of complete intersections are topological manifoldsM. NisseJune 18, 2021 09:30–10:30, Section I, Sochi 44. Refined invariants for real elliptic curvesI. V. ItenbergJune 18, 2021 11:00–12:00, Section I, Sochi 45. Tropical characteristic classesA. I. ÈsterovJune 18, 2021 12:00–13:00, Section I, Sochi 46. Blow-ups for the Horn-Kapranov parametrization of the classical discriminantE. N. MikhalkinJune 18, 2021 14:30–15:00, Section I, Sochi 47. Tropical Chern classes and Chern-Weil theoryYu. V. EliyashevJune 18, 2021 15:00–15:30, Section I, Sochi 48. Tropical singular pointsN. KalininJune 18, 2021 15:30–16:00, Section I, Sochi 49. Analytical realization of the strong dual of a space of holomorphic functions with boundary smoothness. ApplicationsI. Kh. MusinJune 18, 2021 16:00–17:00, Section I, Sochi Section II 50. Logarithmic differential forms on singular varietiesA. G. AleksandrovJune 18, 2021 09:30–10:30, Section II, Sochi 51. On Kirchhoff index and the number of spanning trees and rooted spanning forests in circulant graphsA. D. MednykhJune 18, 2021 11:00–12:00, Section II, Sochi 52. Approximation of solutions of the heat equation of Lebesgue class $L^2$ by more regular solutionsA. A. ShlapunovJune 18, 2021 12:00–13:00, Section II, Sochi 53. The holomorphic extension of functions with the boundary Morera properties in domains with piecewise-smooth boundaryS. G. MyslivetsJune 18, 2021 14:30–15:00, Section II, Sochi 54. The Generalized Long Mayer–Vietoris Sequence and Separating CyclesR. V. Ul'vertJune 18, 2021 15:00–15:30, Section II, Sochi 55. CR manifolds of infinite Bloom-Graham typeM. A. StepanovaJune 18, 2021 15:30–16:00, Section II, Sochi 56. Laurent series with respect to a matrix ball from the space $\mathbb C^n [ m\times m ]$G. KhudaiberganovJune 18, 2021 16:00–17:00, Section II, Sochi