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 Events
University of Minnesota
Wed 4 Oct 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
Homology of braid groups via quantum shuffle algebras
ESB 4133 (PIMS Lounge)
Wed 4 Oct 2017, 3:15pm-4:15pm

Abstract

I will explain some new techniques for computing the homology of braid groups with coefficients in a certain class of exponential representations that arise in a natural way from braided monoidal categories. Surprisingly (at least to me), these techniques are related to fundamental objects — Nichols algebras — in the theory of quantum groups and the classification theory of Hopf algebras.  These techniques can be used to establish part of a function field analogue of Malle’s conjecture on the distribution of Galois groups.  I will not discuss this application much in the topology seminar, but will focus on it in the colloquium.  This is joint work with Jordan Ellenberg and TriThang Tran.
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Cornell University
Wed 18 Oct 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
ESB 4133 (PIMS Lounge)
Wed 18 Oct 2017, 3:15pm-4:15pm

Abstract

 
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University of California, Irvine
Wed 8 Nov 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
ESB 4133 (PIMS Lounge)
Wed 8 Nov 2017, 3:15pm-4:15pm

Abstract

 

Note for Attendees


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Wayne State University
Wed 15 Nov 2017, 3:15pm
Topology and related seminars
ESB 4133
ESB 4133
Wed 15 Nov 2017, 3:15pm-4:15pm

Abstract

 
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University of Southern California
Wed 22 Nov 2017, 3:15pm
Topology and related seminars
ESB 4133
ESB 4133
Wed 22 Nov 2017, 3:15pm-4:15pm

Abstract

 
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