Invariants and Structures

Coorganized with Yang Zhou

Wednesdays at 2pm

Ryo Ohkawa, RIMS, Kyoto University
03/11, SIMIS room 1010

$K$-theoretic wall-crossing formulas and multiple basic hypergeometric series
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.

Past talks