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Geometric Analysis Seminar
Seminar information archive ～01/14｜Next seminar｜Future seminars 01/15～
| Organizer(s) | Shouhei Honda, Hokuto Konno, Asuka Takatsu |
|---|---|
| URL | https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/ |
2025/08/19
16:00-17:00 Room #123 (Graduate School of Math. Sci. Bldg.)
Hiro Lee Tanaka (Texas State University)
For Liouville sectors, Floer theory in families without Floer theory in families
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
Hiro Lee Tanaka (Texas State University)
For Liouville sectors, Floer theory in families without Floer theory in families
[ Abstract ]
Numbers do not have automorphisms, but most other mathematical objects do.
So when Floer theory yields non-numerical invariants, one can hope for symmetries to act on such invariants. Typically, one realizes these actions by carefully setting up an analytical framework for Floer theory to vary over the fibers of some bundle. In the setting of Floer theory for a class of symplectic manifolds called Liouville sectors, we show that a completely different technique -- localization of infinity-categories -- achieves the same goals, and more! This talk is based on some old joint work with Oleg Lazarev and Zachary Sylvan.
[ Reference URL ]Numbers do not have automorphisms, but most other mathematical objects do.
So when Floer theory yields non-numerical invariants, one can hope for symmetries to act on such invariants. Typically, one realizes these actions by carefully setting up an analytical framework for Floer theory to vary over the fibers of some bundle. In the setting of Floer theory for a class of symplectic manifolds called Liouville sectors, we show that a completely different technique -- localization of infinity-categories -- achieves the same goals, and more! This talk is based on some old joint work with Oleg Lazarev and Zachary Sylvan.
https://sites.google.com/g.ecc.u-tokyo.ac.jp/geometricanalysisseminar/
