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