Back to Algebraic Geometry Seminar: Fall 2024
Algebraic Geometry Seminar
Date: Tuesday, Oct 15, 2024
Time: 3:30PM - 4:30PM
Location: LCB 222
Louis Esser
Princeton University
Title |
Hypersurfaces with large automorphism groups |
Abstract |
A smooth hypersurface of dimension n and degree d in complex projective space always has finite automorphism group when the degree d is at least 3, unless (n,d) = (1,3) or (2,4). Moreover, for each fixed pair (n,d), there is a finite upper bound on the order |Aut(X)|. Previously, this bound was only known explicitly for certain small values of n and d. In this talk, I’ll describe results (joint with Jennifer Li) that exactly determine the upper bound on |Aut(X)| for every pair (n,d) and show that the Fermat hypersurface always achieves the upper bound apart from a finite number of exceptional cases. |
Algebraic Geometry