## Algebra

•  Lena Ji, University of Michigan
•  Finite order birational automorphisms of Fano hypersurfaces
•  11/14/2022
•  3:00 PM - 4:00 PM
•  C304 Wells Hall
•  Joseph Waldron (waldro51@msu.edu)

The birational automorphism group is a natural birational invariant associated to an algebraic variety. In this talk, we study the specialization homomorphism for the birational automorphism group. As an application, building on work of Kollár and of Chen–Stapleton, we show that a very general n-dimensional complex hypersurface X of degree ≥ 5⌈(n+3)/6⌉ has no finite order birational automorphisms. This work is joint with Nathan Chen and David Stapleton.

## Contact

Department of Mathematics
Michigan State University