Speaker: Prof. Jonghae Keum (Korea Institute for Advanced Study)

Title: Fermat Quartic Surface

Time: 14:00-15:00  August 25, 2026 (Tuesday)

Inviter: Prof. Baohua Fu (MCM, CAS)

Place: MCM110

Abstract: In 1944 Beniamino Segre proved that the Fermat quartic surface in P^3 has infinitely many discrete automorphisms. It was the first example of an algebraic surface with infinite discrete automorphism group. Since then, it has been a long standing open problem to find generators of its automorphism group.

It is well known that other Fermat hypersurfaces of dimension \ge 2 and degree \ge 3 have finite automorphism groups.

With Keiji Oguiso and Xun Yu, we solve this problem, presenting 16 geometric generators of finite order.