##### Department of Mathematics,

University of California San Diego

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### Symplectic Geometry Seminar

## Joseph Palmer

#### UCSD

## Symplectic Invariants in Equivariant Geometry

##### Abstract:

For any Lie group $G$, we construct a $G$\--equivariant analogue of symplectic capacities and give examples when $G=\mathbb{T}^k\times\mathbb{R}^{d-k}$, in which case the capacity is an invariant of integrable systems. Then we study the continuity of these capacities, using the natural topologies on the symplectic $G$\--categories on which they are defined. This work is joint with Alvaro Pelayo and Alessio Figalli.

Organizer: Alvaro Pelayo

### February 12, 2016

### 3:00 PM

### AP&M 6402

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