Международный семинар по Гомологической Зеркальной Симметрии и Вертексным Алгебрам

Thursday, May 25

Friday, May 26

ALEXANDER EFIMOV

Title: Homological mirror symmetry for Riemann surfaces

Abstract: I will tell about some special cases when the HMS conjecture is established: compact Riemann surfaces of genus g > 2 (the speaker) and 2-dimensional sphere minus n > 2 points (the speaker joint with M. Abouzaid, D. Auroux, L. Katzarkov and D. Orlov). In both cases the Riemann surface plays the role of a symplectic manifold, and the mirror symmetric object is a 3-dimensional Landau-Ginzburg model, i.e. a 3-dimensional complex algebraic variety with a regular function.

SERGEY GUKOV

Title: Vertex Algebras and 4-manifolds

Abstract: The main goal of this lecture will be to point out a new and unexplored correspondence between smooth 4-manifolds and vertex operator algebras. I will start with a brief introduction to 4-manifold invariants and then explain how VOAs can help us classify smooth 4-manifolds, and how this correspondence leads to new predictions about the structural properties even in the case of traditional invariants, such as Donaldson invariants or Seiberg-Witten invariants.