##### Department of Mathematics,

University of California San Diego

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### Math 203A - Algebraic Geometry Seminar

## Georg Oberdieck

#### MIT

## Holomorphic anomaly equation for elliptic fibrations and beyond

##### Abstract:

Physics predicts that the Gromov-Witten theory of Calabi-Yau threefolds satisfies two fundamental properties: Finite generation and a holomorphic anomaly equation. I will explain a recent conjecture with Pixton that extends these conjectures to all elliptic fibrations, and indicate how to prove it in several basic cases. If time permits, we will also discuss holomorphic anomaly equations for hyper-Kaehler varieties.

Host: Dragos Oprea

### November 29, 2017

### 1:00 PM

### AP&M 6402

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