Seminar series
Date
Tue, 10 Nov 2015
Time
15:45 -
16:45
Location
L4
Speaker
Kai Behrend
Organisation
UBC Vancouver
Following an idea of Bridgeland, we study the operator on the K-group of algebraic stacks, which takes a stack to its inertia stack. We prove that the inertia operator is diagonalizable when restricted to nice enough stacks, including those with algebra stabilizers. We use these results to prove a structure theorem for the motivic Hall algebra of a projective variety, and give a more conceptual definition of virtually indecomposable stack function. This is joint work with Pooya Ronagh.