##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Dustin Ross

#### San Francisco State University

## Genus-One Landau-Ginzburg/Calabi-Yau Correspondence

##### Abstract:

First suggested by Witten in the early 1990's, the Landau-Ginzburg/Calabi-Yau correspondence studies a relationship between spaces of maps from curves to the quintic 3-fold (the Calabi-Yau side) and spaces of curves with 5th roots of their canonical bundle (the Landau-Ginzburg side). The correspondence was put on a firm mathematical footing in 2008 when Chiodo and Ruan proved a precise statement for the case of genus-zero curves, along with an explicit conjecture for the higher-genus correspondence. In this talk, I will begin by describing the motivation and the mathematical formulation of the LG/CY correspondence, and I will report on recent work with Shuai Guo that verifies the higher-genus correspondence in the case of genus-one curves.

Host: Dragos Oprea

### January 20, 2017

### 3:00 PM

### AP&M 5829

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