Évènement

Guillaume Kineider
I2M, AMU, CNRS

Date(s) : 14/11/2024   iCal
14h00 - 15h30

Morse theory forms the foundation of a field known as differential topology. Its principle is to use analytical tools from the differential category to obtain information of a purely topological nature. In (somewhat) technical terms, the most important result in Morse theory is the construction of Morse homology, which computes the (singular) homology of a manifold by studying the critical points of certain smooth functions on it.

But there is no need to understand this last statement to follow my presentation! To warm up, we will start by decomposing manifolds into cells using a so-called Morse function, and then begin our journey toward Morse homology. Will we reach it? That’s anyone’s guess… see you on Thursday at 2 p.m. to find out!

Emplacement
I2M Saint-Charles - Salle de séminaire

Catégories

• Séminaire