##### Department of Mathematics,

University of California San Diego

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### Math 295 - Department Colloquium

## Tristan Collins

#### MIT

## Complete Calabi-Yau metrics: recent progress and open problems

##### Abstract:

Complete Calabi-Yau metrics are fundamental objects in Kahler geometry arising as singularity models or "bubbles" in degenerations of compact Calabi-Yau manifolds. The existence of these metrics and their relationship with algebraic geometry are the subjects of several long standing conjectures due to Yau and Tian-Yau. I will describe some recent progress towards the question of existence, and explain some future directions, highlighting connections with notions of algebro-geometric stability.

Host: Lei Ni

### January 12, 2023

### 4:00 PM

APM 6402

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