K-Theory and Motivic Homotopy Theory Seminar -- Ivan Kobyzev

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November 19, 2015
1:50 pm - 2:50 pm
UH 0024

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2015-11-19 13:50:00 2015-11-19 14:50:00 K-Theory and Motivic Homotopy Theory Seminar -- Ivan Kobyzev Title:  G-theory of root stacks and its application to equivariant K-theory. Speaker: Ivan Kobyzev, University of Western Ontario Abstract: There is a result from the 1980's that allows us to describe the equivariant K theory of curves: if X and Y are curves, G is a finite reducible group and Y = X/G, then we can write K_G(X) in terms of K(Y) and some representation rings associated to the group. We have generalized this result to any dimension using the description of the category of coherent sheaves on a root stack given by Borne and Vistoli.   This is a joint work with A. Dhillon. UH 0024 America/New_York public
Title:  G-theory of root stacks and its application to equivariant K-theory.
 
Speaker: Ivan Kobyzev, University of Western Ontario
 

Abstract: There is a result from the 1980's that allows us to describe the equivariant K theory of curves: if X and Y are curves, G is a finite reducible group and Y = X/G, then we can write K_G(X) in terms of K(Y) and some representation rings associated to the group. We have generalized this result to any dimension using the description of the category of coherent sheaves on a root stack given by Borne and Vistoli.   This is a joint work with A. Dhillon.

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