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 |
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 |
TUESDAY April 3, 1:30-2:30 (!) |
Dinesh Thakur - Diophantine approximation of algebraic quantities in finite characteristic |
nt/latex_07e287db17d9adad69e31ec444cbc74de07b09ac_p1.png "$p$")
-- 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 nt/latex_3fd0753beee5d510ee604bc544fd7b5374aca6b6_p1.png "$x^n-1$")
for some positive integer n. In this talk, we will examine two natural questions concerning the divisors of ![$Z[x]$](attachments/seminar(2f)nt/latex_18dd67bdaf86dc4475af6e220b37bff75171abb1_p1.png "$Z[x]$")
and ![$F_p[x]$](attachments/seminar(2f)nt/latex_92fd9f70ad6aa219ba0a806f5048adf5c7ab0575_p1.png "$F_p[x]$")
, using sieve methods and other techniques from analytic number theory in order to obtain our results.
Winter 2012
Thursdays 3:35 - 5:00pm in Padelford C401
March 8, 2012 |
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February 9, 2012 |
Fall 2011
Thursdays 3:35 - 5:00pm in Padelford C401
December 8, 2011 |
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November 30, 2011 |
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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 |
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October 20, 2011 |
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October 13, 2011 |
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October 6, 2011 |
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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 |
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May 20, 2011 |
W. Stein: Shafarevich-Tate 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(37-th root of 37)? |
April 15, 2011 |
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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 |
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November 12, 2010 |
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November 19, 2010 |
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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 |