Date/Time:23 Oct 2019 10:00
Venue: S16 #03-09
Speaker: Allan Merino, National University of Singapore
Character Varieties
Giving a pair (Gamma, G), where Gamma is a finitely generated group and G a complex algebraic reductive group, we define the GIT-quotient Hom(Gamma, G) // G: it’s the character variety corresponding to (Gamma, G). One can determine a set of generators when G = SL(V), Sp(V) and O(V) using results of Weyl and Procesi, and for G = SO(V) using a paper of Zhu-Aslaksen-Tan and a recent result of Sikora.
In my talk, I will explain first how can we determine these generators. At the end, I will present an ongoing project, joint with Clement Guerin, concerning the character variety of Spin(n) and G2.
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