Seminar by Leonid Chekhov (Steklov Mathematical Institute)

Title: Quantum Riemann surfaces related to Shroedinger equation solutions

2013.11.01 | Christine Dilling

 Date Wed 23 Feb Time 16:15 — 17:15 Location Aud. D3

Abstract:

(based on joint work with B.Eynard and O.Marchal)
We introduce the notion of hyperelliptic quantum Riemann surfaces constructed on the base of solutions of Shroedinger equation related to $\beta$-ensemble integrals in the large N limit. We present analogues of Seiberg--Witten equations, Riemann bilinear identities, and recursion relations enabling us to construct solutions for correlation functions order by order in $1/N^2$. In the case of rational potentials, these correlation functions and free energies correspond to the nonperturbative limit of the Nekrasov functions.

Seminar