BCAM-Severo Ochoa Lecture: Introduction to Morse Homology

PLEASE NOTE THAT THE LOCATION OF THE LECTURE HAS CHANGED
LOCATION: Seminar room at the Mathematics department at UPV/EHU (Leioa) and Online

This is a Complementary Lecture for BCAM-Severo Ochoa courses

Abstract
Morse Homology is a homology theory defined for smooth manifolds. It is constructed using a Morse-Smale function with respect to a metric (although the resulting homology does not depend neither on the metric nor on the function). Morse homology is in fact isomorphic to singular homology, and it is a model for the construction of Floer Homology.

In this lecture we will briefly describe the construction of Morse Homology, and if time allows, some of its consequences.

Link to the session here