WEEKLY ACTIVITIES

Time: 9h00, Wednesday, June 10, 2015

Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi

Abstract:  The alpha-invariant was introduced by G. Tian in 1987 for a compact subgroup G of automorphisms of a complex variety X. In the case X is a Fano variety, Tian used this invariant to determine if X admits a G-invariant Kaehler-Einstein metric. It turns out that, in the case X = P^n and G is a subgroup of PGL(n+1,C), J. G. Thompson already proved in 1981 that this invariant is at most 4(n+1). He conjectured that in fact this invariant can be bounded universally, independently of n and G. The goal of this talk is to discuss our very recent proof of Thompson's conjecture.