Speaker
Pavlo Gavrylenko
Description
We will see how isomonodromic tau functions for a torus with one puncture can be expressed in term of c=1 conformal blocks (or \mathcal{N}=2* gauge theory partition functions). Then we will study monodromy dependence of these tau functions, find their behavior under the modular transformation \tau\to-1/\tau, and then use this knowledge to find an explicit formula for the fusion kernel for c=1 conformal block. The talk will be based on a joint work with Fabrizio Del Monte and Harini Desiraju.
