Number Theory Seminar
Wednesday, November 14, 2018, 3:15pm, 119 Physics
Spencer Leslie (Duke)
Whittaker functions and connections to crystal graphs
Abstract:
Whittaker functions are certain special functions that play a central role in automorphic representation theory. When dealing with automorphic forms on covering groups, new methods are needed to compute these functions. In this talk, I will outline how the study of this problem has uncovered connections with geometric representation theory and crystal graphs. I also explain my work in making this connection practical, allowing for new computations of spherical Whittaker functions for covering groups. [video]

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