Date:
Thursday, April 12, 2018 - 1:00pm
Location:
Math 110
Speaker:
takashi kimura
Associated to a complex manifold with the action of a finite group (or an orbifold) one can associate various algebras with so-called inertial products, the prototypical example of which is the Chen-Ruan orbifold cohomology and its K-theoretic variant. The nontrivial part of the construction of the orbifold product is the proof of associativity which follows from an identity in the representation ring of a finite group. We explain how this identity can be lifted, in some cases, to the category of representations and this can be applied towards describing orbifold products in singularity theory.
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