Academics

The Eliashberg-Floer-McDuff Theorem

Time:Lecture 1: Dec. 29, 3:20-4:50 pm, B725 Lecture 2: Dec. 30, 10:30-12:00, C548 Lecture 3: Dec. 31, 10:30-12:00, C548

Venue:Shuangqing Complex Building A

Organizer:林剑锋

Speaker:Zhengyi Zhou

The Eliashberg-Floer-McDuff Theorem

Speaker:

Zhengyi Zhou 周正一

Morningside Center of Mathematics, Chinese Academy of Sciences

Organizer:

林剑锋

Schedule:

Lecture 1: Dec. 29, 3:20-4:50 pm, B725

Lecture 2: Dec. 30, 10:30-12:00, C548

Lecture 3: Dec. 31, 10:30-12:00, C548

Venue:

Shuangqing Complex Building A

Description:

The Eliashberg-Floer-McDuff theorem is a landmark result in symplectic geometry, stating that any Liouville filling of the standard contact sphere (in dimension at least three) must be diffeomorphic to a ball. This series of lectures will explore this theorem from two perspectives: first, by reviewing the diverse and influential proof techniques it has inspired, and second, by examining its wide-ranging applications—including its unexpected role in solving the smooth rectangular peg problem.

Language:

English

DATEDecember 30, 2025
SHARE
Related News
    • 0

      Recent Development around Atiyah Floer Conjecture

      AbstractFloer defined Floer homology in two different cases. One is the case of Instanton Floer homology of 3 manifolds (homology sphere). The other uses pseudo-holomorphic curves. (The first Floer homology Floer defined using pseudo-holomorphic curves is Lagrangian Floer homology.) Atiyah-Floer conjecture says that those two coincide in certain situations. This is > 30 year old conjecture. I w...

    • 1

      Geometric representations of vertex algebras

      AbstractA powerful technique in representation theory is localization, wherein one identifies categories of modules for an algebra of interest with categories of D-modules or perverse sheaves. After reviewing the classical Beilinson”ŖBernstein theorem, which introduced localization for semisimple Lie algebras, we will describe some analogues for certain vertex algebras, notably W-algebras and...