SMS scnews item created by Haotian Wu at Wed 16 Nov 2016 2140
Type: Seminar
Distribution: World
Expiry: 11 Jan 2017
Calendar1: 24 Nov 2016 1400-1500
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology: Integrability of the moduli stack of parahoric Higgs bundles
Auth: haotianw@como.maths.usyd.edu.au

Geometry & Topology Seminar

Integrability of the moduli stack of parahoric Higgs bundles

David Baraglia (Adelaide)

Thursday 24 November 2016, 14:00–15:00 in Carslaw 535A.

Please join us for lunch at 12:30! We will meet at level 2 of Carslaw.


Abstract: The cotangent bundle of the stack of principal G-bundles on a curve was shown by Hitchin to be an algebraically integrable system. Motivated by the Langlands program we consider the following generalisation: take the cotangent bundle of the stack of torsors over a non-constant group scheme. Do we still get an integrable system? We show that this is the case for the so-called parahoric group schemes. A special cases of this is the cotangent bundle of the stack of parabolic G-bundles. Determining the base of the integrable system turns out to be deeply related to the Kazhdan-Lusztig map, which sends nilpotent orbits to conjugacy classes in the Weyl group. This is Joint work with Masoud Kamgarpour and Rohith Varma.


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