On Hutchings' conjecture on the topology
of the mean action spectrum
报告专家：Habib Alizadeh 博士后（中国科技大学）
报告时间：5月14日（星期四）上午9:30-10:30
报告地点：腾讯会议：256168162
报告摘要：
In this talk we present a proof of the following result: for any area-preserving diffeomorphism of the two dimensional closed disk which is neither pseudo-rotation nor periodic, the closure of its mean action spectrum contains an interval with non-zero length. The result can be translated into an analogous statement on the frequency of intersections of a Reeb flow with a symplectic surface in a three dimensional contact manifold. This partially answers a question posed by Hutchings asking whether the closure of the mean action spectrum is a connected interval. A possibly stronger expectation would be that the latter set is equal to the closure of the set of asymptotic mean actions of all points in the disk, as it is known for pseudo-rotations. In this talk we will try to explain the proofs in detail. This is based on a joint work with (Cristofaro-Gardiner)-Pirnapasov-Shelukhin.
邀请人：曲华迪
