##### Department of Mathematics,

University of California San Diego

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### Math258: Seminar on Differential Geometry

## Li-Sheng Tseng

#### UC Irvine

## A Cone Story for Smooth Manifolds

##### Abstract:

Differential forms are basic objects of manifolds and encode invariants. This talk will motivate the usefulness of considering pairs of differential forms together with a map linking them. We will show how this can lead to novel functionals and geometric flows. As an application, it leads to new notions of flat connections and Morse theory on symplectic manifolds. This talk is based on joint works with Jiawei Zhou, David Clausen and Xiang Tang.

### December 1, 2022

### 11:00 AM

APM 7302

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