Speaker: Mikhail Bershtein (SISSA)
Time: Monday Jun, 09 14:00pm
Location: R1210, SIMIS
Zoom Meeting ID: 889 8127 0146 (Passcode: 841854)
Abstract:
We revisit the classical Goddard Kent Olive coset construction. We find the formulas for the highest weight vectors in coset decomposition and calculate their norms. We also derive formulas for matrix elements of natural vertex operators between these vectors. This leads to relations on conformal blocks. Due to the AGT relation, these relations are equivalent to blowup relations on Nekrasov partition functions with the presence of the surface defect. These relations can be used to prove Kyiv formulas for the Painlev\'{e} tau-functions (following Nekrasov’s method). Based on joint work with B. Feigin and A. Trufanov
About Speaker:
Mikhail Bershtein is professor of SISSA Trieste. Before he worked in the University of Edinburgh, Kavli IPMU, Skoltech, HSE, Landau Institute. He got a PhD in the Landau Institute in 2011. His research interests are Representation Theory, Integrable Systems, Conformal Field Theory
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