Forty years of Four Manifolds (Tomasz MROWKA, MIT)

12.12.2024 16:15

Since the twin breakthroughs in 1982-83 by Freedman and Donaldson the study of four manifolds has been developing rapidly. Freedman's resolution of the 4d topological Poincaré conjecture and refinements combined with Donaldson's surprising applications of the Yang-Mills equations to show that the situation for smooth structures in dimension 4 was more complicated than in higher dimensions. Since then new theories including Seiberg-Witten equations, Ozsvath and Szabó's Heegaard Floer theory, Embedded Contact Homology emerged and have led to surprising applications to question in 3 and 4 dimensional topology. This talk will survey some of these developments.


Le colloque sera suivi d'un apéritif

Lieu

Bâtiment: Conseil Général 7-9

Salle 1-15, Colloque de mathématiques

entrée libre

Fichiers joints

Tomasz Mrowka.pdf

151.4 Kb