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CAGE: Philadelphia Area Combinatorics and Alg. Geometry Seminar

Thursday, February 13, 2020 - 3:00pm

Siddhartha Sahi



University of Pennsylvania


I will describe a new class of "metaplectic" representations of the double affine Hecke algebra, which generalize the usual polynomial representation. This gives rise to a new family of "metaplectic" polynomials, which generalize Macdonald polynomials.
Our construction is motivated by the theory of Weyl group multiple Dirichlet series, and the work of Kazhdan-Patterson (for type GL_n) and Chinta-Gunnells (for arbitrary root systems). 
This is joint work with J. Stokman and V. Venkateswaran