Mapping Cones on Manifolds | BIMSA Topology Seminar

Time：2023-12-25 Mon 14:30-16:00

Venue：A3-4-101 ZOOM: 230 432 7880（PW: BIMSA）

Organizer：Matthew Burfitt, Tyrone Cutler, Jingyan Li, Jie Wu, Jiawei Zhou

Speaker：Li-Sheng Tseng University of California, Irvine

Abstract

Many manifolds of interest are equipped with a geometrical structure specified by a distinguished closed form. We will motivate the usefulness of considering pairs of differential forms that are linked together by a map of the distinguished form. We will show how this lead to new notions of Morse theory and flat connections, and also novel Yang-Mills type functionals. This talk is based on joint works with David Clausen, Xiang Tang, and Jiawei Zhou.

DATEDecember 25, 2023

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