"Inertial Chow rings and a new asymptotic product"

Date: 
Thursday, April 14, 2016 - 9:30am
Location: 
111 MSB
Speaker: 
Thomas Coleman (Advisor: Prof. Dan Edidin)

Abstract: For any toric Deligne-Mumford stack X and equivariant vector bundle V, we can define an associative inertial product ★. We give a ring presentation for the inertial Chow ring of X under ★ and show how to compute it in the toric case. In particular, we make explicit distinctions between the contributions of the inertia of X and of the product ★. We further show the existence of a new associative product on the inertia of X in which the rank of V asymptotically approaches infinity, and we compute its Chow ring.