# Difference between revisions of "Algebraic Geometry Seminar Fall 2015"

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|October 23 | |October 23 | ||

|[http://people.math.sc.edu/kassj/ Jesse Kass] (South Carolina) | |[http://people.math.sc.edu/kassj/ Jesse Kass] (South Carolina) | ||

− | + | How to count zeros arithmetically? | |

|Melanie | |Melanie | ||

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===Jess Kass=== | ===Jess Kass=== | ||

− | + | How to count zeros arithmetically? | |

− | + | A celebrated result of Eisenbud--Kimshaishvili--Levine computes the local Brouwer degree of a real polynomial function at an isolated zero as the signature of a quadratic form. I will discuss a parallel result in A1-homotopy theory, and time permitting, explain how to study a singularity by applying these results to the gradient of a defining equation. This is joint work with Kirsten Wickelgren. | |

===Vasily Dolgushev=== | ===Vasily Dolgushev=== |

## Revision as of 10:17, 17 September 2015

The seminar meets on Fridays at 2:25 pm in Van Vleck B135.

The schedule for the previous semester is here.

## Contents

## Algebraic Geometry Mailing List

- Please join the AGS Mailing List to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).

## Fall 2015 Schedule

date | speaker | title | host(s) |
---|---|---|---|

September 18 | Eric Riedl (UIC) | TBA | Jordan |

September 25 | David Zureick-Brown (Emory) | TBA | Jordan |

October 2 | Vasily Dolgushev (Temple) | A manifestation of the Grothendieck-Teichmueller group in geometry | Andrei |

October 9 | Laurentiu Maxim (Madison) | TBA | local |

October 23 | Jesse Kass (South Carolina)
How to count zeros arithmetically? |
Melanie | |

November 13 | Jake Levinson (Michigan) | TBA | Daniel |

## Abstracts

### Jess Kass

How to count zeros arithmetically?

A celebrated result of Eisenbud--Kimshaishvili--Levine computes the local Brouwer degree of a real polynomial function at an isolated zero as the signature of a quadratic form. I will discuss a parallel result in A1-homotopy theory, and time permitting, explain how to study a singularity by applying these results to the gradient of a defining equation. This is joint work with Kirsten Wickelgren.

### Vasily Dolgushev

A manifestation of the Grothendieck-Teichmueller group in geometry

Inspired by Grothendieck’s lego-game, Vladimir Drinfeld introduced, in 1990, the Grothendieck-Teichmueller group GRT. This group has interesting links to the absolute Galois group of rationals, moduli of algebraic curves, solutions of the Kashiwara-Vergne problem, and theory of motives. My talk will be devoted to the manifestation of GRT in the extended moduli of algebraic varieties, which was conjectured by Maxim Kontsevich in 1999. My talk is partially based on the joint paper with Chris Rogers and Thomas Willwacher: http://arxiv.org/abs/1211.4230.