University of Chicago Number Theory Seminar

Fall 2012: Tuesday 1:30-2:50pm, room E202


This is the homepage of Number Theory Seminar at University of Chicago. To get on or off the mailing list, you can either go to lists.uchicago.edu or contact Matthew Morrow or Liang Xiao.

Note the new time and room this quarter.

Click here to see the location of Eckhart Hall, and here for driving directions to University of Chicago.

One may also want to check out

  • Geometric Langlands Seminar Monday and Thursday 4:30pm
  • Algebraic Geometry Seminar biweekly on Tuesday 4:30pm-6pm
  • Northwestern University Number Theory Seminar Monday 5pm
  • UIC Number Theory Seminar Tuesday 3pm

    Click here to see the schedule of previous quarters: Winter 2010 / Spring 2010 / Fall 2010 / Winter 2011 / Spring 2011 / Fall 2011 / Winter 2012 / Spring 2012 / Fall 2012 / Winter 2013 / Spring 2013 / Fall 2013 / Winter 2014

    When an abstract is available, click on "Show Abstract" to expand the abstract, or click on "Hide Abstract" to hide it.

    Schedule

    Date

    Speaker

    Topic

    October 2

    David Helm
    (U Texas at Austin)

    The integral Bernstein center and the local Langlands correspondence for GLn in families
    We describe several results and conjectures on the behavior of local Langlands correspondence when the Weil group representation varies in a family.... (Show Abstract)

    October 9

    Kai-Wen Lan
    (Univ of Minnesota)

    Galois representations for regular algebraic automorphic representations over CM fields
    I will report on the construction of p-adic Galois reprensentations for regular algebraic cuspidal automorphic representations of GL(n) over CM (or totally real) fields.... (Show Abstract)

    October 16

    Majid Hadian-Jazi
    (U Illinois at Chicago)

    On a Motivic Method in Diophantine Geometry
    We combine Kim's recent method in Diophantine geometry with Deligne-Goncharov's theory of motivic fundamental groups to develop a machinery for studying integral points ....(Show Abstract)

    October 23

    Keerthi Madapusi
    (Harvard University)

    The Tate conjecture for K3 surfaces over fields of odd characteristic.
    Using the theory of integral canonical models of Shimura varieties of orthogonal type, we extend the Kuga-Satake construction to odd characteristic .... (Show Abstract)

    Note also: talk in Geometry/Topology Seminar 3pm-4pm Room 308
    Congruence subgroups and stability by Frank Calegari from Northwestern
    We present various approaches to understanding the cohomology of congruence subgroups in the stable range, and discuss their (conjectural) relationship with number theory .... (Show Abstract)

    October 30

    Jennifer Balakrishnan
    (Harvard University)

    Iterated Coleman integration, p-adic heights and integral points on curves
    We will discuss iterated Coleman integrals and outline how they can be computed in practice for hyperelliptic curves ....(Show Abstract)

    November 6

    Chung Pang Mok
    (McMaster)

    Endoscopic classification for quasi-split unitary groups
    We report on the work on endoscopic classification for quasi-split unitary groups, following Arthur's methods ....(Show Abstract)

    Note also: the speaker will give another talk in Algebraic Geometry Seminar 4:30pm-6pm Room 312
    Introduction to endoscopic classification of automorphic representations on classical groups
    The recent work of Arthur on endoscopic classification .... (Show Abstract)

    November 13
    (Two talks on this day)

    Romyar Sharifi
    (Univ of Arizona)
    1:30-3pm

    On Galois groups of pro-p extensions with restricted ramification
    I will give a survey of older and newer applications of a cup product pairing in the Galois cohomology of cyclotomic fields with restricted ramification to the structure of certain Iwasawa modules and pro-p Galois groups .... (Show Abstract)

    Aaron Silberstein
    (Univ of Pennsylvania)
    3-4pm
    Eckhart 308

    The Birational Anabelian Theorem for Surfaces over Q
    (Joint Geometry/Topology and Number Theory Seminar)
    The "yoga" of Alexandre Grothendieck's program of anabelian geometry dictates ....(Show Abstract)

    November 20

    Florian Herzig
    (Univ of Toronto)

    Adequate subgroups
    In this talk we discuss work in progress showing that most subgroups of GLn that act irreducibly are adequate, provided that n < p .... (Show Abstract)

    November 27

    Matthew Emerton

    Local and global methods in the p-adic Langlands correspondence
    The p-adic Langlands correspondence attempts to relate p-adic Galois representations and p-adic representations of reductive groups ....(Show Abstract)

    December 4

    Nicolas Templier
    (Princeton University)

    Harmonic families of automorphic representations
    We establish a precise Plancherel equidistribution theorem for the local parameters of certain families of automorphic representations of reductive groups .... (Show Abstract)

    December 11

    Liang Xiao

    Goren-Oort stratification of Hilbert modular varieties
    I will discuss the geometric structure of the Goren-Oort stratification and various applications of the structure theorem .... (Show Abstract)

    This page is maintained by Liang Xiao; it was shamelessly copied from Kiran Kedlaya, which in turn was shamelessly copied from Jason Starr's page, which in turn was shamelessly copied from Ravi Vakil's page, which in turn was shamelessly copied from Pasha Belorousski's page at the University of Michigan. For more sites with a similar pedigree, see Michael Thaddeus's list or Jim Bryan's list.