##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Peter Lambert-Cole

#### University of Georgia

## Symplectic trisenctions and the adjunction inequality

##### Abstract:

The minimal genus problem is a fundamental question in smooth 4-manifold topology. Every 2-dimensional homology class can be represented by a surface. But how small can this surface be? A generation ago, techniques from gauge theory were used to solve this in a large class of 4-manifolds with extra geometric structure, namely symplectic 4-manifolds. Recent work on trisections if 4-manifolds has revealed a deep connection with symplectic geometry and gives a new perspective on this result.

Host: Jianfeng Lin

### October 13, 2020

### 11:30 AM

### See Special Note for Zoom Info

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