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Decompositions of varieties, birationality, and K-theory

Connections for Women: Derived Algebraic Geometry, Birational Geometry and Moduli Spaces January 28, 2019 - January 30, 2019

January 29, 2019 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Inna Zakharevich (Cornell University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • algebraic K-theory

  • varieties

  • birational automorphisms

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Video

6-Zakharevich

Abstract

In this talk we investigate the higher homotopical structure that can be added to the Grothendieck ring of varieties using algebraic K-theory. Using the tools of homotopy theory, we analyze this new structure to learn about how the dimension filtration on the Grothendieck ring behaves, and how it interacts with the birational automorphism groups.

Supplements
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Video/Audio Files

6-Zakharevich

H.264 Video 861_25931_7571_6-Zakharevich.mp4
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