UCSD Number Theory Seminar (Math 209)

Thursday 2-3pm, AP&M 7421


Fall Quarter 2014

For previous quarters' schedule, click here.


September 11

Peter Schneider (University of Munster and MSRI)
Rigid character groups, Lubin-Tate theory, and (phi,Gamma)-modules

The talk will describe joint work with L. Berger and B. Xie in which we build, for a finite extension L of Q_p, a new theory of (phi,Gamma)-modules whose coefficient ring is the ring of holomorphic functions on the rigid character variety of the additive group o_L, resp. a "Robba" version of it.

October 2

TBA
TBA

TBA

October 9

TBA
TBA

TBA

October 16

TBA
TBA

TBA

October 23

TBA
TBA

TBA

October 30

2-3pm
Michelle Manes (University of Hawai'i)
Galois theory of quadratic rational functions

Given a global field K and a rational function f(x) defined over K, one may take pre-images of 0 under successive iterates of f, and thus obtain an infinite tree by assigning edges according to the action of f. The absolute Galois group of K acts on the tree, giving a subgroup of the group of all tree automorphisms.
Beginning in the 1980s with work of Odoni, and developing especially over the past decade, a significant body of work has emerged on the size and structure of this Galois representation. The analogy here is to Serre's finite index results for Galois representations arising from elliptic curves.
I will discuss the contributions of several researchers, including Boston and Jones, along with my own work (joint with Jones) on these questions.

3-4pm
Valentijn Karemaker (University of Utrecht)
Hecke algebra isomorphisms and adelic points on algebraic groups

TBA

November 6

TBA
TBA

TBA

November 13

TBA
TBA

TBA

November 20

TBA
TBA

TBA

November 27

THANKSGIVING BREAK

December 4

TBA
TBA

TBA

December 11

TBA
TBA

TBA