数学科学系

Department of Mathematical Sciences

Convexity theorems in symplectic geometry and integrable Hamiltonian systems

 

题目:Convexity theorems in symplectic geometry and integrable Hamiltonian systems

 

报告人:Nguyen Tien Zung 教授(University of Toulouse

 

时间:2017518日 周四 上午9:30 – 10:30

 

地点:理科楼A304

 

摘要:In this talk I'll give a breif review of convexity theorems in symplectic geometry (from Shur-Horn to Kostant to Atiyah-Guillemin-Sternberg, Kirwan and so on to group-valued momentum maps and proper quasi-symplectic groupoids, and Delzant polytopes and integrable Hamitlonian systems. Then I'll show some recent results (joint work mainly with Tudor Ratiu, and also with Ch. Wacheux) on convexity of integrable Hamiltonian systems in the presence of focus-focus singularities, and presymplectic realizations of irrational convex polytopes.

 

联系人:陈酌