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Double affine Hecke algebras

September 25, 2019 @ 4:30 pm - 5:30 pm

9/25/2019 Colloquium
Speaker: Pavel Etingof (MIT)
Title:  Double affine Hecke algebras
Abstract: Double affine Hecke algebras (DAHAs) were introduced by I. Cherednik in the early 1990s to prove Macdonald’s conjectures. A DAHA is the quotient of the group algebra of the elliptic braid group attached to a root system by Hecke relations. DAHAs and their degenerations are now central objects of representation theory. They also have numerous connections to many other fields — integrable systems, quantum groups, knot theory, algebraic geometry, combinatorics, and others. In my talk, I will discuss the basic properties of double affine Hecke algebras and touch upon some applications.




September 25, 2019
4:30 pm - 5:30 pm
Event Category:


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Cambridge, MA 02138 United States
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