##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Daniel Kane and Joey Palmer

#### UCSD

## Semitoric minimal models

##### Abstract:

A semitoric helix is a generalization of the notion of a toric fan for the case in which the acting torus is lower dimensional. The goal of this talk is to characterize the minimal models that can be obtained from a semitoric helix by a finite sequence of blowdowns. As a tool towards this end we produce a standard form for elements of $\mathrm{PSL}_2(\mathbb{Z})$.

### March 4, 2016

### 1:00 PM

### AP&M 7321

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