Mathematical Sciences Research Institute

Home » Workshop » Schedules » Decompositions of varieties, birationality, and K-theory

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
  • algebraic K-theory

  • varieties

  • birational automorphisms

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



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.

Asset no preview Notes 245 KB application/pdf Download
Video/Audio Files


H.264 Video 861_25931_7571_6-Zakharevich.mp4
Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.