100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Noah Porcelli

Floer theory and framed cobordisms between exact Lagrangian submanifolds
Vendredi, 16 Décembre, 2022 - 10:30 à 11:30
Résumé : 

Lagrangian Floer theory is a useful tool for studying the structure of the homology of Lagrangian submanifolds. In some cases, it can be used to detect more- we show it can detect the framed bordism class of certain Lagrangians and in particular recover a result of Abouzaid-Alvarez-Gavela-Courte-Kragh about smooth structures on Lagrangians in cotangent bundles of spheres. The main technical tool we use is Large's recent construction of a stable-homotopical enrichment of Lagrangian Floer theory. 
This is based on joint work-in-progress with Ivan Smith.

 

Thème de recherche : 
Topologie
Salle : 
4
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