EVENT DETAILS AND ABSTRACT

Title: The completely decomposed arc topology and motivic applications
Speaker: Elden Elmato
Speaker Info: Harvard University
Brief Description:
Special Note:
Abstract:

I will introduce a Grothendieck topology, the cdarc topology, discovered in joint work with Marc Hoyois, Ryomei Iwasa and Shane Kelly which is a completely decomposed counterpart to Bhatt and Mathew's arc topology. It is a non-noetherian analog of Suslin-Voevodsky's cdh topology and is thus useful in motivic settings. I will focus on two applications to algebraic cycles and K-theory: 1) an excision result for Spitzweck's motivic cohomology (joint with Hoyois, Iwasa and Kelly) and 2) a motivic refinement of the equivalence L_{cdh}K = KH (joint with Matthew Morrow).