Course times: Wednesday 12:00-14:00, M101
Matsumoto, An Introduction to Morse Theory
Del Pino, A Gentle Introduction to Morse Theory
Recommended previous knowledge: Differential topology (smooth manifolds, tangent bundles, vector fields) and algebraic topology.
A detailed seminar program can be found here.
Introduction and talk distribution (Shai Keidar)
Recollection on smooth manifolds (Daniel Gregory)
Morse functions (Shai Keidar)
The Morse lemma (Hongye Chang)
Homotopy and CW complexes
Existence of Morse functions (Philipp Mark)
Gradient-like vector fields and flows (Amelie Glück)
Sublevel sets away from critical values (Mrigank Shekhar Pathak)
Crossing a critical value (Daniel Gregory)
Handle decomposition (Mrigank Shekhar Pathak)
Examples
Homology I: chains, cycles and boundaries (Amelie Glück, tbc)
Homology II: cellular homology (Marta Kosz)
Morse inequalities (Andrea Panontin)