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Specialization of (stable) rationality in families with mild singularities

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Johannes Nicaise (Imperial College London) - Seminar Algebraic Geometry (SAG)

What
  • SFB-Seminar
When Oct 19, 2017
from 10:30 am to 11:30 am
Where Vivatsgasse 7, Hörsaal MPI
Contact Name Sachinidis
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I will present joint work with Evgeny Shinder, where we use Denef and Loeser's 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.