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Invariant distributions for p-adic GL_n and symmetric functions

Algebraic Geometry and Number Theory

Speaker: Oscar Kivinen, EPFL
Related Webpage: https://www.math.toronto.edu/salomon/
Location: 1147 MSB
Start time: Wed, Oct 12 2022, 12:10PM

I will explain recently (and less recently) uncovered connections between invariant distributions on $GL_n$ over a non-archimedean local field, symmetric functions, and knot invariants of HOMFLY type. In particular, I will discuss orbital integrals of tamely ramified elements and their Shalika germ expansions. Partly based on joint work with Cheng-Chiang Tsai.