## EVENT DETAILS AND ABSTRACT

**Number Theory**
**Title:** Motives and the Inverse Galois Problem

**Speaker:** Zhiwei Yun

**Speaker Info:** MIT

**Brief Description:**

**Special Note**:

**Abstract:**

We will use geometric Langlands theory to solve two problems
concerning number fields. One is Serre's question of whether there
exist motives over Q with motivic Galois group of type E_8 or G_2; the
other is the concrete question of whether there are Galois extensions
of Q with Galois group E_8(p) or G_2(p) (the finite simple groups of
Lie type) for sufficiently large prime p. The answers to both
questions are YES.

**Date:** Tuesday, January 17, 2012

**Time:** 3:00PM

**Where:** Lunt 107

**Contact Person:** Ellen Eischen

**Contact email:** eeischen@math.northwestern.edu

**Contact Phone:** 847-467-1891

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