Algebraic Geometry Seminar: Anubhav Nanavaty (UC Irvine) Skip to main content

Algebraic Geometry Seminar: Anubhav Nanavaty (UC Irvine)

Wednesday, March 19
4:00 PM - 5:00 PM
301 TMCB

Title: An Introduction to the K Theory of Varieties

Abstract: In this talk, I will introduce certain cut-and-paste invariants of algebraic varieties called motivic measures, or group homomorphisms from the Grothendieck ring of varieties, K_0(Var). With Zakharevich’s construction of the higher K groups of the category of varieties, there is an ongoing project to understand K_i(Var) by lifting these motivic measures (on the level of K_0) to derived motivic measures on the level of K_i for all i. I will describe some of this ongoing work, hopefully showing that there is interesting information recorded in K_i(Var), and it is understandable when i=1.

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