Noncommutative Geometry Seminar

Date: February 1, 2024

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Hao Zhuang, Washington University in St. Louis

Title: Invariant Morse-Bott-Smale complex, the Witten deformation and Lie groupoids

Abstract: In this talk, we will first introduce an invariant Morse-Bott-Smale chain complex for closed $T^l$-manifolds with a special type of $T^l$-invariant Morse-Bott functions. Then, we will establish a quasi-isomorphism between the invariant Morse-Bott-Smale complex and the Witten instanton complex. Finally, if time permits, we will explain an ongoing project, which is a generalization of Mohsen’s Witten deformation via Lie groupoids to our $T^l$-invariant Morse-Bott functions.