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K-State Today

February 9, 2016

Mathematics Colloquium lecture Feb. 9

By Reta McDermott

Francesco Sala, University of Western Ontario, Canada, will present "Hall Algebras and Sheaves on Surfaces" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Tuesday, Feb. 9, in 122 Cardwell Hall.

The abstract for the lecture: Hall algebras play a prominent role in the interactions between algebraic geometry and representation theory. Recently, "refined" versions of them, called K-theoretic Hall algebras, were introduced by Schiffmann and Vasserot. They have notable connections with the geometric Langlands correspondence, the theory of quantum groups and gauge theories. In the present talk, Sala will give an overview of the theory of Hall algebras. Sala will then describe some "new" examples of K-theoretic Hall algebras. These algebras are related to some stacks of a certain kind of sheaves on noncompact surfaces.

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