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Department of Mathematics,
University of California San Diego

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Math 208 - Algebraic Geometry Seminar

Evgeny Shinder

University of Sheffield

Factorization centers, Cremona groups and the Grothendieck ring of varieties

Abstract:

I will state the question of uniqueness for centers of blow ups and blow downs of birational maps, explain what is currently known and give two applications. The first is to the structure of Cremona groups, namely their nongeneration by involutions in dimension $>$= 3. The second application is for the Grothendieck ring of varieties, of dimension $<$= 2, over perfect fields. \\ \\ Based on joint work with H.-Y. Lin, and with H.-Y. Lin and S. Zimmermann.

Host: David Stapleton

April 16, 2021

12:00 PM

Contact David Stapleton dstapleton@ucsd.edu for zoom access

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