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Speaker:

Igor Burban
Date:

Tue, 2011-02-01 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics My talk is based on two joint papers with Olivier Schiffmann arXiv:0903.4828 and arXiv:1003.4412. The goal of our project is to apply the structure results on the derived category of coherent sheaves on a weighted projective line to a study of quantized enveloping algebras. In particular, we obtain a new realization of quantum affine algebras of simply-laced types, based on the orbifold quotients of P^1. We also get new results on certain quantum toroidal algebras, based on orbifolds of elliptic curves.

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