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Specialization of (stable) rationality in families with mild singularities

Date: Thursday, May 2, 2019 13:00 - 15:30
Speaker: Johannes Nicaise (Imperial)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tim Browning
Contact: MARR Lena
Lab building west seminar room

Abstract:

I will present joint work with Evgeny Shinder, where we use Denef and Loesers motivic nearby fiber and a theorem by Larsen and Lunts to prove that stable rationality specializes in families with mild singularities. I will also discuss an improvement of our results by Kontsevich and Tschinkel, who defined a birational version of the motivic nearby fiber to prove specialization of rationality.
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