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Thursday, May 12, 2022
4:00 PM - 5:00 PM
Linde Hall 387

Number Theory Seminar

Where the tori live
Stephen DeBacker, Department of Mathematics, University of Michigan,

Suppose G is an algebraic group defined over a nonarchimedian local field k. The G(k)-conjugacy classes of maximal k-tori in G play an important role in representation theory and harmonic analysis. One can understand these conjugacy classes via Galois cohomology, but this description doesn't provide much intuition for what the tori look like, how they embed into G, or how they interact with parahoric subgroups of G. In this talk we will discuss a parameterization of the G(k)-conjugacy classes of maximal k-tori in G via Bruhat-Tits theory.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.