Motivic invariants of birational maps and Cremona groups

GTM seminar

Speaker:Hsueh-Yung Lin (Kavli IPMU)
Title:Motivic invariants of birational maps and Cremona groups
Date (JST):Thu, Jun 10, 2021, 15:30 – 17:00
Abstract:(Joint with E. Shinder and S. Zimmerman) In characteristic zero, birational maps of projective varieties factorize through a sequence of blow-ups and blow-downs along smooth centers. In this talk, we will study to which extent these factorization centers are unique. We construct motivic invariants of birational maps which account for the non-uniqueness of centers. For surfaces over a perfect field, we prove the uniqueness of centers in the strongest possible sense. In higher dimension, the centers fail to be unique and the non-uniqueness has applications on Cremona groups, which eventually leads to negative answers to questions of Cheltsov and Dolgachev.

contact: seminar-organizer _at_


Jun 03 2021


Japan Standard Time
3:30 pm - 5:00 pm

Local Time

  • Timezone: America/New_York
  • Date: Jun 03 2021
  • Time: 2:30 am - 4:00 am

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(IPMU) The Kavli Institute for Physics and Mathematics of the Universe at the University of Tokyo
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