##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Hiro Tanaka

#### Harvard University

## Bringing More Homotopy Theory to Symplectic Geometry

##### Abstract:

The mirror symmetry conjecture (inspired by physics) has spurred a lot of development in symplectic geometry. In the last few years, a wave of modern homotopy theory has also entered the symplectic landscape, and begun to present new questions about the structure of symplectic manifolds. In this talk, weâ€™ll explain a basic invariant in symplectic geometry (the Fukaya category) and, as time allows, give a survey of new inroads being opened through Lagrangian cobordisms, derived geometry, and deformation theory.

Host: Benedict Gross

### November 21, 2017

### 3:00 PM

### AP&M 6402

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