Double affine Artin groups and the modular group (or, Did you know there are bugs on your donut?) | Department of Mathematics
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Double affine Artin groups and the modular group (or, Did you know there are bugs on your donut?)

Event Information
Speaker: 
Professor Arun Ram (University of Melbourne)
Event Location: 
GAB 461
Event Date: 
Monday, June 16, 2014 - 10:30am

ABSTRACT:

The double affine Artin group is used to construct the double affine Hecke algebra which is used to construct Macdonald polynomials. In this work we analyse the topological construction of the double affine Artin group to uncover the underlying elliptic curves and the action of the modular group. This is joint work with Z. Daugherty and S. Griffeth. (Note: Double affine
Hecke algebras are undegenerated symplectic reflection algebras and Macdonald polynomials are generalized spherical and Whittaker functions for p-adic groups).