Title: Quantum Riemann surfaces related to Shroedinger equation solutions
2013.11.01 |
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.