Séminaire Géométrie et applications
organisé par l'équipe Géométrie
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Katrin Wehrheim
What connects Symplectic Geometry so deeply with Algebraic Geometry and Low Dimensional Topology?
21 septembre 2026 - 14:00Salle de séminaires IRMA
The answer that I will propose is a higher categorical structure in symplectic geometry that includes all Fukaya categories and geometric functors between them. Its highly involved algebraic and analytic details are the topic of joint work with Nate Bottman. However, its basic structure can be understood as a natural -- yet not previously studied -- extension of the category of topological spaces and continuous maps. So the goal of this talk is to make broadly accessible the two underlying ideas: The notion of quilts (collections of maps related by ``seam conditions'') and the string diagram approach to constructing and making sense of 2-categories. -
Hiro Lee Tanaka
Generating family spectra and excellent Morse functions
23 septembre 2026 - 09:00Salle de séminaires IRMA
Lisa Traynor and I recently introduced new invariants -- generating family spectra -- of Legendrians equipped with generating families. These invariants are stable homotopy lifts of classical invariants, and are conjectured to model stable homotopy lifts of morphisms in infinitesimally wrapped Fukaya categories. As an application, we prove that one can detect infinitely many new connected components in the space of Thom's "excellent Morse functions" on Euclidean spaces. In this talk, I will introduce these topics and give a rough explanation of the proofs. -
Joé Brendel
à préciser
16 novembre 2026 - 14:00Salle de séminaires IRMA