sergey.𝚐𝚊𝚕𝚔𝚒𝚗

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24 VIDEOS of 178 TALKS (April 2008 - March 2020, many newer videos on graph potentials are available by request)

Written works: {legend: title[fulltext] citation[doi] arxiv[abs] link[other] text[authors,date,etc]}
    Graph potentials and VBAC moduli: mirror symmetry and TQFT in (2+2)d series
  1. P. Belmans, S. Galkin, S. Mukhopadhyay: Combinatorial non-abelian Torelli theorem (and why you cannot hear the shape of a random walk).
  2. P. Belmans, S. Galkin, S. Mukhopadhyay: Graph potentials and symplectic geometry of moduli spaces of vector bundles. arXiv:2206.11584.
  3. P. Belmans, S. Galkin, S. Mukhopadhyay: Graph potentials and topological quantum field theories. arXiv:2205.07244.
  4. P. Belmans, S. Galkin, S. Mukhopadhyay: Decompositions of moduli spaces of vector bundles and graph potentials. Forum of Mathematics, Sigma , 11 (2023) e16. arXiv:2009.05568 (v3 and later).
  5. P. Belmans, S. Galkin, S. Mukhopadhyay: Examples violating Golyshev's canonical strip hypotheses. Experimental Mathematics 31:1 (2022) 233--237. arXiv:1806.07648. MPIM 18-32.
    6. other works
  6. S. Galkin, I. Karzhemanov, E. Shinder: On automorphic forms of small weight for fake projective planes. Moscow Math Journal 23:1 (2023) 97--111. arXiv:1602.06107. IPMU 15-0202. (2014.08, Trento)
  7. S. Galkin, G. Mikhalkin: Singular symplectic spaces and holomorphic membranes. European Journal of Mathematics 8 (2022) 932--951. arXiv:2203.10043. (2014.10, Petra)
  8. Sergey Galkin, D.S. Nagaraj: Projective bundles and blow-ups of Projective spaces. Annali di Matematica 201 (2022) 2707--2713. arXiv:2006.12112.
  9. T. Coates, S. Galkin, A. Kasprzyk, A. Strangeway: Quantum periods for certain four-dimensional Fano manifolds. Experimental Mathematics 29:2 (2020) 183--221. arXiv:1406.4891.
  10. S. Galkin, S. Rybakov: A family of K3 surfaces and towers of algebraic curves over finite fields. Math. Notes 106:6 (2019) 1014--1018. arXiv:1910.14379
  11. S. Galkin, H. Iritani: Gamma conjecture via mirror symmetry. Primitive Forms and Related Subjects --- Kavli IPMU 2014, Adv. Stud. Pure Math. 83 (2019) 55--115. arXiv:1508.00719.
  12. S. Galkin, V. Golyshev, H. Iritani: Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures. Duke Math. J. 165:11 (2016) 2005--2077. arXiv:1404.6407. IPMU 10-0200.
  13. T. Coates, A. Corti, S. Galkin, A. Kasprzyk: Quantum periods for 3-dimensional Fano manifolds. Geometry & Topology 20 (2016) 103--256. arXiv:1303.3288. IPMU 13-0113.
  14. S. Galkin, A. Mellit, M. Smirnov: Dubrovin's conjecture for IG(2,6). Int Math Res Notices 2015:18 (2015) 8847--8859. arXiv:1405.3857.
  15. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Derived categories of Keum's fake projective planes. Adv. Math. 278 (2015) 238--253. (2013.06, Mainz)
  16. S. Galkin, E. Shinder: Exceptional collections of line bundles on the Beauville surface. Adv. Math. 244 (2013) 1033--1050. arXiv:1210.3339. MPIM 12-60.
  17. S. Galkin: Degenerations, transitions and quantum cohomology. in: Tropical Aspects in Geometry, Topology and Physics. Oberwolfach Report No. 23/2015, pp. 1269--1273. arXiv:1809.02737 (2015.04, Oberwolfach)
  18. T. Coates, A. Corti, S. Galkin, V. Golyshev, A. Kasprzyk: Mirror Symmetry and Fano manifolds. in: ECM Kraków, 2-7 July, 2012, pp. 285--300. arXiv:1212.1722. IPMU 12-0102.
  19. J. A. Cruz Morales, S. Galkin: Upper bounds for mutations of potentials. SIGMA 9:005 (2013) 1--13. arXiv:1301.4541. IPMU 12-0110.
  20. M. Akhtar, T. Coates, S. Galkin, A. Kasprzyk: Minkowski Polynomials and Mutations. SIGMA 8:094 (2012) 1--707. arXiv:1212.1785. IPMU 12-0120.
  21. S. Galkin, V. Golyshev: Quantum cohomology of Grassmannians and cyclotomic fields. Russ. Math. Surv. 61:1 (2006) 171--173. (2004, Moscow)
  22. S. Galkin, J. Hu, H. Iritani, H. Ke, C. Li, Z. Su: Counter-examples to Gamma conjecture I. arXiv:2405.16979.
  23. S. Galkin, P. Popov: On pairs, triples and quadruples of points on a cubic surface. Russ. Math. Surv., to appear. arXiv:1810.07001.
  24. S. Galkin, E. Shinder: On a zeta-function of a dg-category. arXiv:1506.05831. (2013.01, Saint Petersburg - Moscow)
  25. S. Galkin, E. Shinder: The Fano variety of lines and rationality problem for a cubic hypersurface. arXiv:1405.5154.
  26. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Minifolds and Phantoms. 2013. IPMU 13-0102. arXiv:1305.4549.
  27. S. Galkin, A. Usnich: Laurent phenomenon for Ginzburg-Landau potential. 2010. IPMU 10-0100.
  28. S. Galkin: The conifold point. arXiv:1404.7388. (2011, Split)
  29. S. Galkin: Fano-Mathieu correspondence. arXiv:1809.02738. IPMU 10-0150.
  30. S. Galkin: G-minimal varieties are quantum minimal. IPMU 10-0101. (2008.04, Mainz)
  31. S. Galkin: Apéry constants of homogeneous varieties. arXiv:1604.04652. (2008.10, Mainz, preprint SFB45)
  32. S. Galkin: Two instances of fake minimal Fano threefolds. IPMU 11-0099. (2008.05, Mainz-IHES, preprint SFB45)
  33. S. Galkin: Small toric degenerations of Fano threefolds. arXiv:1809.02705. IPMU 12-0121. (2006-2008, Moscow)
  34. S. Galkin: Del Pezzo surfaces and low ramified pencils of elliptic curves. (in Russian) (2006-2008, Moscow)
  35. S. Galkin: Derived categories of coherent sheaves on toric stacks. ITEP-TH-105/04. (in Russian). (2004.06, Moscow) This is a stripped down version of my specialist (master) thesis.
    36. Older or superceded/overlapping versions
  36. P. Belmans, S. Galkin, S. Mukhopadhyay: Graph potentials and moduli spaces of rank two bundles on a curve. arXiv:2009.05568v2 (v1-v2 only). Superceded by arXiv:2009.05568v3 (v3 and later), arXiv:2205.07244, arXiv:2206.11584.
  37. S. Galkin, A. Mellit: Minifolds 1: on the projective fourspace. IPMU 11-0100. (2011.02, Trieste)
    38. In 2013 it was incorporated as the first half of preprint arXiv:1305.4549, but since second half of it was published separately, an extended version of this paper is going to be released.
  38. S. Galkin: Picard lattices of nodal toric Fano threefolds. 2008. (in Russian)
    39. This mini-article is a supplementary material for arXiv:1809.02705.
  39. S. Galkin: Toric degenerations of Fano manifolds. Ph.D. Thesis (Steklov Math Institute, April 3, 2008). (in Russian). Main results correspond to three papers above.

Mini-courses:
Organization of seminars: Organization of conferences, workshops, schools, minicourses: Lecture courses: Geometry of Algebraic Varieties (24.2), Complex Geometry (24.1), Álgebra Linear (24.1, 23.1), Quantum Topology: an introduction (24.0), Representation Theory / Teoria da Representação (23.2), Riemann Surfaces / Superfícies de Riemann (23.1-23.2), Modular Forms (23.0 (summer), 15.1), Algebraic Geometry and Statistical Learning Theory (22.2), Análise Complexa (22.2), Introdução à Topologia (22.1), Estruturas Algébricas (22.1, 21.2, 21.1, 20.2, 20.1), Lógica, Provas e LEAN (21.2), Geometry of Robotics (21.1), Algebraic Geometry (20.2, 17.2), Commutative Algebra (20.1), Topics in Geometry (19.2), Symmetries and Moduli Spaces (16.2), Algebraic Surfaces (16.1, 15.2), Proofs of Irrationality (15.2), Projective Geometry (14.1).

[ papers talks videos minicourses seminars conferences lectures links ]