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Spectral Legendrians and the Non-Abelianization Map

Mathematical Physics Seminar

Speaker: Roger Casals, UC Davis
Related Webpage: https://www.math.ucdavis.edu/~casals/
Location: 2112 MSB
Start time: Fri, Oct 4 2019, 11:10AM

In this talk I will explain how to produce cluster charts in the moduli space of framed flat connections by using Floer theory. In particular, I will introduce the necessary Lagrangians in the cotangent bundle of a marked surface and present the disk contributions in their Floer product, which can be computed via Morse flow trees. Finally, I will discuss why these disks suffice for the computation of BPS indices in the 4d N=2 supersymmetric QFTs of Class S and their coupled 2d-4d systems.