Invariants and Structures: K-theoretic wall-crossing formulas and multiple basic hypergeometric series

Speaker: Ryo Ohkawa (RIMS, Kyoto University)

Time: 2026-03-11 14:00-16:00
Location: 1010, SIMIS
Zoom meeting ID: 862 0171 8791 Password: SIMIS

摘要：

We study K-theoretic integrals over famed quiver moduli via wall-crossing phenomena. In particular, we focus on integrals over the handsaw quiver varieties of type A_1 and get functional equations for generating series of the integrals. These equations give geometric interpretation of transformation formulas for multiple basic hypergeometric series including the Kajihara transformation formula, and the one studied by Langer-Schlosser-Warnaar and Hallnäs-Langman-Noumi-Rosengren. We also study the chainsaw quiver varieties, and give conjectures for generating series of the integrals. This is based on joint work with Shiraishi.