03 01, 2022
Speaker： Dr. Cheuk Yu Mak（University of Edinburgh, UK）Title：Two applications of the Lagrangian Floer theory of symmetric productsTime&Venue：2022.03.01，16:00-18:00 Tencent Meeting：534-468-554Abstract：In this talk, we will describe two applications arising from studying Lagrangian Floer theory of symmetric products. The first one resolves a simplicity problem of the volume preserving homeomorphism groups of surfaces from the 70s, and it is a joint work with Daniel Cristofaro-Gardiner, Vincent Humili`ere, Sobhan Seyfaddini and Ivan Smith. We will then explain the difficulties in generalizing it to higher dimensions. A partial progress is obtained in a joint work with Ivan Smith, where we discover a new Lagrangian linking phenomenon, resolving a 20 years old question of Polterovich.
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