##### Department of Mathematics,

University of California San Diego

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### Ricci Flow Workshop

## Prof. Brett Kotschwar

#### Arizona State University

## Some unique continuation results for asymptotically conical Ricci flows

##### Abstract:

We adapt some Carleman estimates from earlier joint work with L. Wang to asymptotically conical Ricci flows and prove a general backward uniqueness theorem for sections of mixed parabolic inequalities along these flows. As an application, we prove that a solution which flows smoothly into a cone on an end must be a shrinking soliton. We will also discuss other related uniqueness results for asymptotically conical shrinking solitons.

Hosts: Pak-Yeung Chan and Bennett Chow

### May 19, 2023

### 11:00 AM

APM 6402

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