Séminaire Doctorants
organisé par l'équipe DOCT
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Colin Fourel
From Morse homology to Floer homology
21 novembre 2024 - 16:30Salle de conférences IRMA
Morse homology is a homology theory that allows to say something about the critical points of a smooth function on a manifold. It can be used for example to prove lower bounds on the number of critical points, called the Morse inequalites. Inspired by these, Arnold conjectured a generalization concerning the number of periodic orbits of certain vector fields. I will explain how one gets the Morse inequalites using Morse homology, and how one can prove Arnold conjecture thanks to an infinite dimensional version of Morse theory, called Floer theory. -
Jose Sao-Joao
TBA
28 novembre 2024 - 16:30Salle de conférences IRMA
TBA -
Thomas Agugliaro
TBA
5 décembre 2024 - 16:30Salle de conférences IRMA
TBA -
Roméo Troubat
TBA
12 décembre 2024 - 16:30Salle de conférences IRMA
TBA