Lecture Series by Visiting Kalman Fellow
Francesco Lin (Columbia University)
Monopole Floer homology is a package of subtle invariants of three-manifolds arising from the study of the Seiberg-Witten equations. In this lecture series, we will discuss its properties, construction, and applications.
- Lecture 1: Formal properties and topological applications (10am -11am, 24 August, in 303-257)
- Lecture 2: S^1-equivariant Morse theory (11am -12pm, 24 August, in 303-257)
- Lecture 3: The Seiberg-Witten equations (10am -11am, 25 August, in 260-325)
- Lecture 4: Computations of the invariants (11am -12pm, 25 August, in 260-325)
Title: Homology cobordism and the geometry of hyperbolic three-manifolds (4-5pm, 24 August, in 303-MLT1)
Topology in four dimensions has very unique features, and an object that perfectly exemplifies them is the three-dimensional homology cobordism group. After introducing it and discussing its significance and challenges, I will focus on interactions with Thurston’s geometrization program, and discuss some results aimed at understanding the relation between hyperbolic geometry and homology cobordism.