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Random surfaces and lattice Yang-Mills

Mon January 22nd 2024, 4:00pm
Sequoia 200
Sky Cao, MIT

I will talk about recent work which studies Wilson loop expectations in lattice Yang-Mills models. In particular, I will give a representation of these expectations as sums over embedded planar maps. Time permitting, I will also discuss alternate derivations, interpretations, and generalizations of several recent theorems about Brownian motion limits (Dahlqvist), lattice string trajectories (Chatterjee and Jafarov) and surface sums (Magee and Puder).

This is joint work with Minjae Park and Scott Sheffield.