Morse Theory and Closed Geodesics

• Morse Theory of the energy functional on the free loop space
• Existence results for closed geodesics
• Geometric estimates for the length of closed geodesics on manifolds of positive curvature

Date and time info
Wednesday, 13:15 - 14:45, 1st lecture: October, 24

Keywords
Closed geodesics, free loop space, index and nullity, sectional curvature

Prerequisites
Basic knowledge about differential geometry and algebraic topology

Audience
diploma students, PhD students, Postdocs

Language
English