Geometric construction of semicanonical bases and crystals of (affine) Lie algebras via quivers and Higgs bundles
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Speaker:
Guillaume Pouchin
Affiliation:
U Paris 6/MPI
Date:
Thu, 2011-05-12 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
MPI-Oberseminar In this talk I will present the construction of enveloping Lie algebras via constructible fonctions on a stack of representation of a quiver (by Lusztig), as well as the geometric construction of the crystal (by Kashiwara-Saito).
I will then present how this techniques can be translated in the framework of Higgs bundles on a curve, in order to obtain loop Lie algebras.
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