##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry

## Benjamin Hoffman

#### Cornell University

## String domains for coadjoint orbits

##### Abstract:

For each regular coadjoint orbit of a compact group, we construct an exhaustion by symplectic embeddings of toric domains. As a by-product we arrive at a conjectured formula for the Gromov width of coadjoint orbits. Our method combines ideas from Poisson-Lie groups and from the geometric crystals of Berenstein-Kazhdan. We also prove similar results for multiplicity-free spaces. This is joint work with A. Alekseev, J. Lane, and Y. Li.

Host: Lei Ni

### November 13, 2019

### 1:00 PM

### AP&M 5829

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