Speaker: Brendan Hassett (Brown University)
Time: Jun 10, 2022, 09:00-10:00
Location: Zoom ID: 967 248 8008, Passcode: available upon demand
Abstract: Fix a finite group G. We seek to classify varieties with G-action equivariantly birational to a representation of G on affine or projective space. The equivariant rationality problem is analogous to Diophantine questions over nonclosed fields. We explore how invariants – both classical cohomological invariants and recent symbol constructions – control rationality in some cases. Universal torsors are a powerful geometric tool for analyzing equivariant stable birational equivalence. (joint with Tschinkel)
Ref: B. Hassett and Y. Tschinkel, Torsors and stable equivariant birational geometry
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