Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Dr. Yaniv Ganor
Technion Haifa, Israel

 
spricht am
 
Montag, 22. November 2021
 
um
 
16:15 Uhr
 
im
 
1009/L und Zoom (hybride Veranstaltung)
 
über das Thema:
 

»Big Fiber Theorems and Ideal-Valued Measures in Symplectic Topology«

Abstract:
In various areas of mathematics there exist "big fiber theorems", these are theorems of the following type: "For any map in a certain class, there exists a 'big' fiber", where the class of maps and the notion of size changes from case to case.

We will discuss three examples of such theorems, coming from combinatorics, topology and symplectic topology from a unified viewpoint provided by Gromov's notion of ideal-valued measures.

We adapt the latter notion to the realm of symplectic topology, using an enhancement of Varolgunes’ relative symplectic cohomology to include cohomology of pairs. This allows us to prove symplectic analogues for the first two theorems, yielding new symplectic rigidity results.

Necessary preliminaries will be explained. The talk is based on a joint work with Adi Dickstein, Leonid Polterovich and Frol Zapolsky.

If you want to take part via Zoom please ask Prof. Urs Frauenfelder for­ login details.


 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Urs Frauenfelder
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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