Inaugural conference for the Laboratory of Mirror Symmetry and Automorphic forms

International seminar on Homological Mirror Symmetry and vertex algebras

Thursday, May 25
Room 109
16:00 – 18:00 A. Efimov
18:00 – 18:15 Coffee break
18:15 – 19:20 Discussions
Friday, May 26
Room 109
14:00 – 16:00 S. Gukov
16:00 – 16:15 Coffee break
16:15 – 17:20 Discussions
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.