Dylan Cant (Universit茅 de Montr茅al)
鉁掞笍 TITLE / TITRE
On the spectral diameter of the complex Grassmannian of two-planes
馃搫 ABSTRACT /聽R脡SUM脡聽
It is well-known that to any compact symplectic manifold one can associate a "spectral" pseudometric $\gamma$ on the universal cover of the Hamiltonian diffeomorphism group using Floer theory. I will begin my presentation with a historical overview of this pseudometric, and will describe its applications. A central question in this subject is whether or not $\gamma$ has finite diameter, for a given symplectic manifold. In my presentation, I will explain recent work (joint with H. Alizadeh, M. S. Atallah, J. Shang) which shows the diameter is finite in the case of the complex Grassmannian of two planes $Gr(2,n)$, provided that $n$ is a prime number. The proof involves a detour through the quantum Schubert calculus.
馃搷 PLACE / 尝滨贰鲍听
Hybride - CRM, Salle / Room 5340, Pavillon Andr茅 Aisenstadt
