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 MellinBarnes 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 supercurrents and tropical geometry, recent advances in the CRgeometry 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. 0751520191614).
Schedule
Abstracts
Program
Abstracts
RSS:
Organizing Committee
Tsikh Avgust Karlovich (Chairman) Gorchinskiy Sergey Olegovich Lopatin Elijah Aleksandrovich Lysov Vladimir Genrikhovich
Institutions
Sirius Mathematics Center Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Steklov International Mathematical Center Krasnoyarsk Mathematical Center 

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


June 14, 2021 (Mon) 


Plenary session


1. 
Witt vectors ring and the residue map D. Kaledin June 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 principle B. Jöricke June 14, 2021 11:00–12:00, Plenary session, Sochi





3. 
Generalized amoebas of the second kind I. M. Krichever June 14, 2021 12:00–13:00, Plenary session, Sochi






Section I


4. 
Higherdimensional ContouCarrère symbol, I S. O. Gorchinskiy June 14, 2021 14:30–15:30, Section I, Sochi





5. 
Higherdimensional ContouCarrère symbol, II D. V. Osipov June 14, 2021 15:30–16:30, Section I, Sochi





6. 
Multidimensional Mellin Transforms: Fundamental Correspondence I. A. Antipova June 14, 2021 17:00–18:00, Section I, Sochi





7. 
Relative Milnor $K$groups and Kahler differentials D. N. Tyurin June 14, 2021 18:00–18:30, Section I, Sochi





8. 
The Hartogs extension phenomenon in toric varieties S. V. Feklistov June 14, 2021 18:30–19:00, Section I, Sochi






Section II


9. 
Rigid spheres and homogeneous Sasakian manifolds G. Schmalz June 14, 2021 14:30–15:30, Section II, Sochi





10. 
Fundamental theorem of projective geometry in multidimensional complex analysis N. G. Kruzhilin June 14, 2021 15:30–16:30, Section II, Sochi





11. 
Local polynomially convex hulls of Leviflat singularities A. B. Sukhov June 14, 2021 17:00–18:00, Section II, Sochi





12. 
Applications of the Multisummability theory in Complex Analysis I. G. Kossovskii June 14, 2021 18:00–19:00, Section II, Sochi






June 15, 2021 (Tue) 


Plenary session


13. 
Topological insulators invariant under time reversal: an overview A. G. Sergeev June 15, 2021 09:30–11:30, Plenary session, Sochi





14. 
Pseudomeromorphic currents M. Andersson June 15, 2021 11:00–12:00, Plenary session, Sochi





15. 
Automorphism groups of compact complex varieties Yu. G. Prokhorov June 15, 2021 12:00–13:00, Plenary session, Sochi






Section I


16. 
An extended MongeAmpère operator E. Wulcan June 15, 2021 14:30–15:30, Section I, Sochi





17. 
A pullback on a class of currents H. Samuelsson Kalm June 15, 2021 15:30–16:30, Section I, Sochi





18. 
Chern Currents of Coherent Sheaves R. Lärkäng June 15, 2021 17:00–17:30, Section I, Sochi





19. 
Positivity for codimension one holomorphic foliations A. Golota June 15, 2021 17:30–18:00, Section I, Sochi





20. 
On interpolation with finite Blaschke products S. I. Kalmykov June 15, 2021 18:00–18:30, Section I, Sochi





21. 
About the Blaschke products in polydiscs M. E. Durakov June 15, 2021 18:30–19:00, Section I, Sochi






Section II


22. 
Holomorphic continuation of a formal series along analytic curves A. S. Sadullaev June 15, 2021 14:30–15:30, Section II, Sochi





23. 
Set interpolation by plurisubharmonic geodesics A. Yu. Rashkovskii June 15, 2021 15:30–16:30, Section II, Sochi





24. 
Finite jet determination for CR mappings A. E. Tumanov June 15, 2021 17:00–18:00, Section II, Sochi





25. 
Polynomially convex embeddings and approximation of functions R. G. Shafikov June 15, 2021 18:00–19:00, Section II, Sochi






June 16, 2021 (Wed) 


Plenary session


26. 
Underlying algebraic varieties of algebraic groups V. L. Popov June 16, 2021 09:30–10:30, Plenary session, Sochi





27. 
Multidimensional residue calculus over $\mathbb Q$ or $\overline{\mathbb Q}$ A. Yger June 16, 2021 11:00–12:00, Plenary session, Sochi





28. 
Variations on the theme of classical discriminant V. V. Batyrev June 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. Khovanskii June 17, 2021 17:00–18:00, Plenary session, Sochi





30. 
Higher convexity of tropical objects F. Sottile June 17, 2021 18:00–19:00, Plenary session, Sochi






Section I


31. 
Landau–Ginzburg models, Calabi–Yau compactifications, and KKP and P=W conjectures V. V. Przyjalkowski June 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 pairs Vik. S. Kulikov June 17, 2021 11:00–12:00, Section I, Sochi





33. 
Finite groups acting on algebraic varieties in positive characteristic С. A. Shramov June 17, 2021 12:00–13:00, Section I, Sochi





34. 
Automorphisms groups of pointless del Pezzo surfaces A. S. Trepalin June 17, 2021 14:30–15:00, Section I, Sochi





35. 
Boundedness of divisors on Fano fibrations K. V. Loginov June 17, 2021 15:00–15:30, Section I, Sochi





36. 
Indices of 1forms and quadratic forms S. M. GuseinZade June 17, 2021 15:30–16:30, Section I, Sochi






Section II


37. 
Multivariate hypergeometric polynomials and their amoebas T. M. Sadykov June 17, 2021 09:30–10:30, Section II, Sochi





38. 
On compacts possessing strictly plurisubharmonic functions N. V. Shcherbina June 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 CampbellHausdorff series V. A. Stepanenko June 17, 2021 12:00–12:30, Section II, Sochi





40. 
Analytic Continuation of Diagonals of Laurent Series for Rational Functions D. Yu. Pochekutov June 17, 2021 12:30–13:00, Section II, Sochi





41. 
On holomorphically homogeneous hypersurfaces in $ \mathbb C^4 $ A. V. Loboda June 17, 2021 14:30–15:30, Section II, Sochi





42. 
The model surface method: a new step V. K. Beloshapka June 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 manifolds M. Nisse June 18, 2021 09:30–10:30, Section I, Sochi





44. 
Refined invariants for real elliptic curves I. V. Itenberg June 18, 2021 11:00–12:00, Section I, Sochi





45. 
Tropical characteristic classes A. I. Èsterov June 18, 2021 12:00–13:00, Section I, Sochi





46. 
Blowups for the HornKapranov parametrization of the classical discriminant E. N. Mikhalkin June 18, 2021 14:30–15:00, Section I, Sochi





47. 
Tropical Chern classes and ChernWeil theory Yu. V. Eliyashev June 18, 2021 15:00–15:30, Section I, Sochi





48. 
Tropical singular points N. Kalinin June 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. Applications I. Kh. Musin June 18, 2021 16:00–17:00, Section I, Sochi






Section II


50. 
Logarithmic differential forms on singular varieties A. G. Aleksandrov June 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 graphs A. D. Mednykh June 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 solutions A. A. Shlapunov June 18, 2021 12:00–13:00, Section II, Sochi





53. 
The holomorphic extension of functions with the boundary Morera properties in domains with piecewisesmooth boundary S. G. Myslivets June 18, 2021 14:30–15:00, Section II, Sochi





54. 
The Generalized Long Mayer–Vietoris Sequence and Separating Cycles R. V. Ul'vert June 18, 2021 15:00–15:30, Section II, Sochi





55. 
CR manifolds of infinite BloomGraham type M. A. Stepanova June 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. Khudaiberganov June 18, 2021 16:00–17:00, Section II, Sochi





