UW Number Theory Seminar
* Organizer: William Stein ([email protected]) * Mailing List: http://groups.google.com/group/ntuw
Winter 2012
Thursdays 3:35  5:00pm in Padelford C401
May 24 
CANCELLED  Joel Bellaiche(Brandeis University); On Hecke algebras modulo  We will present, motivate, and discuss special cases of a conjecture on the dimension and structure of the local components of the algebra of Hecke operators acting on the space of modular forms modulo a prime of a fixed level and all weights. 
May 17 
David Roe: The local Langlands correspondence and character sheaves  The local Langlands correspondence is a theorem for GL_n due to Harris, Taylor and Henniart, and recent work of Arthur makes good progress toward establishing it for all classical groups. In this talk I will describe a different approach to local Langlands, pioneered by DeBacker and Reeder, that works for arbitrary split reductive groups but imposes restrictions on the starting Galois representation. In particular, I will focus on two stories: the extension of their method to tamely ramified unitary groups, and the beginnings of an effort to geometrize the method using character sheaves (joint with Clifton Cunningham). 
May 3 
Lola Thompson: Products of distinct cyclotomic polynomials  A polynomial is a product of distinct cyclotomic polynomials if and only if it is a divisor over Z[x] of for some positive integer n. In this talk, we will examine two natural questions concerning the divisors of : For a given n, how large can the coefficients of divisors of be? and How often does have a divisor of every degree between 1 and n? We will consider the latter question when is factored in both and , using sieve methods and other techniques from analytic number theory in order to obtain our results. 
TUESDAY April 3, 1:302:30 (!) 
Dinesh Thakur  Diophantine approximation of algebraic quantities in finite characteristic 
Winter 2012
Thursdays 3:35  5:00pm in Padelford C401
March 8, 2012 

February 9, 2012 
Fall 2011
Thursdays 3:35  5:00pm in Padelford C401
December 8, 2011 

November 30, 2011 

November 17, 2011 
Jon Bober: Using the explicit formula to bound ranks of elliptic curves 
November 10, 2011 
Ralph Greenberg: The image of Galois representations attached to elliptic curves with an isogeny 
November 3, 2011 

October 20, 2011 

October 13, 2011 

October 6, 2011 

September 29, 2011 
Organizational Meeting 
Spring 2011
Fridays 3:30  4:30pm in Padelford C401
June 24, 2011 
Dao Phuong Bac: On some topological properties of relative orbits of subsets 
May 27, 2011 

May 20, 2011 
W. Stein: ShafarevichTate Groups of Elliptic Curves of Rank at Least Two 
May 13, 2011 
A. Deines: Dembele's Algorithm for Modular Elliptic Curves Over Real Quadratic Fields 
April 22, 2011 
R. Greenberg: Does 37 divide the class number of Q(37th root of 37)? 
April 15, 2011 

April 8, 2011 
R. Greenberg: Introduction to Genus Theory 20110408abstract.pdf 
March 18, 2011 
Maarten Derickx from Leiden, Holland  Torsion points on elliptic curves over number fields of small degree 
2010
Public Calendar: XML, ICAL, HTML. If you use Google Calendar, I think you can add the number theory calendar to your calendar by pasting in the email address [email protected].
October 8, 2010 
Ralph Greenberg will give his ICM talk on Selmer groups and congruences 
October 15, 2010 
Ralph Greenberg: part 2 of above 
October 22, 2010 
No seminar due to ECC 
October 29, 2010 
William Stein: Computing Hilbert modular forms of parallel weight 2 over Q(sqrt(5)) 
November 5, 2010 

November 12, 2010 

November 19, 2010 

November 26, 2010 
No seminar due to Thanksgiving 
December 3, 2010 
Sal Baig: The Average Analytic Rank in a Family of Quadratic Twists of an Elliptic Curve over $F_q(t)$ 
December 10, 2010 
Jeff Achter (Colorado State): Split reductions of simple abelian varieties 