Tak1_Homology cobordism and the geometry of hyperbolic three-manifolds

2024/01/09 火 10:00 - 11:00
Francesco Lin
Columbia University

The three-dimensional homology cobordism group is a fundamental object in low-dimensional topology. A major challenge in the study of its structure is to understand the interaction between hyperbolic geometry and homology cobordism. In this talk, after introducing the main protagonists and explain the role they play in topology, I will discuss how monopole Floer homology (an invariant of three-manifolds obtained by suitably counting solutions to the Seiberg-Witten equations) can be used to study some basic properties of certain subgroups of the homology cobordism group generated by hyperbolic homology spheres satisfying natural geometric constraints of Riemannian and spectral nature.

日時 : (Talk 1)2024年1月9日(火) 10時~11時
会場:後日 個別にお知らせいたします。

要申込:参加希望者は下記URLの Googleフォームにて申込を行って下さい。