HOẠT ĐỘNG TRONG TUẦN

Thời gian: 9h00, thứ 4 ngày 10/6/2015

Địa điểm: Phòng 6 nhà A14 - Viện Toán học, 18 Hoàng Quốc Việt Cầu Giấy, Hà Nội

Tóm tắt: 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.