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DTSTART:20210603T063000Z
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CREATED:20210602
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SUMMARY:Motivic invariants of birational maps and Cremona groups
DESCRIPTION:\nGTM seminar\n\n\n\nSpeaker:Hsueh-Yung Lin (Kavli IPMU)Title:Motivic invariants of birational maps and Cremona groupsDate (JST):Thu, Jun 10, 2021, 15:30 – 17:00Place:ZoomAbstract:(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.\n\n\n\ncontact: seminar-organizer _at_ ipmu.jp\n
URL:https://community.kavlimeetings.org/calendar-archive/motivic-invariants-of-birational-maps-and-cremona-groups/
ORGANIZER;CN=(IPMU) The Kavli Institute for Physics and Mathematics of the Universe at the University of Tokyo:MAILTO:
CATEGORIES:Multidisciplinary,Theoretical Physics
LOCATION:Virtual
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