摘要:The dynamics of automorphism groups of normal complex projective varieties (or compact Kahler manifolds) has been well understood in the sense that the whole automorphism groups satisfy the so-called Tits alternative type theorem due to De-Qi Zhang.
The key ingredients are the cohomological interpretation of the topological entropy by Gromov and Yomdin, the higher dimensional Hodge--Riemann relations, and the quasi-nef sequences introduced by Zhang.
In this talk, I will present a positive characteristic version of the above Tits alternative type theorem. Instead of working on the \ell-adic (etale) cohomology, I will focus on the numerical spaces of algebraic cycles.
Later, I will briefly discuss a question of Truong about the equivalence of the cohomological dynamical degree and the numerical one (which is what I am using).
报告人简介:新加坡国立大学博士,导师:张德琪;现加拿大University of British Columbia博士后;在世界著名杂志 Adv.Math. , J.Lond.Math.Soc., Math.Z., IndianaUniv.Math.J. 等杂志上发表过文章。