University of Chicago Number Theory Seminar

Winter 2013: Tuesday 1:30-2:50pm, room E308


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, Davide Reduzzi or Liang Xiao.

Note the new 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

    January 8

    Andrei Jorza
    (Caltech)

    Symmetric powers of Hilbert modular forms and p-adic L-functions
    To a Hilbert modular form one may attach a p-adic analytic L-function interpolating certain special values.... (Show Abstract)

    January 15

    Patrick Allen
    (Northwestern University)

    Modularity of nearly ordinary 2-adic residually dihedral Galois representations
    We prove modularity of some two dimensional, 2-adic Galois representations over totally real fields that are nearly ordinary and that are residually dihedral.... (Show Abstract)

    January 22

    Tong Liu
    (Purdue University)

    The compatibility of Kisin modules for different uniformizers
    Kisin modules are very useful to understand lattices in semi-stable representations. The construction of Kisin modules depends on the fixed choice of an uniformizer of the base field....(Show Abstract)

    January 29

    David Loeffler
    (University of Warwick)

    Euler systems for Rankin-Selberg convolutions of modular forms
    An Euler system is a certain compatible family of classes in the cohomology of a Galois representation, which play a key role in relating arithmetical properties of the representation to values of the associated L-function....(Show Abstract)

    January 30 (notice new date) 3:00-4:30PM in E308

    Florian Sprung
    (Brown University)

    The arithmetic of elliptic curves in towers of number fields
    We will give an overview of Iwasawa theory for elliptic curves and present a pair of convenient p-adic L-functions...(Show Abstract)

    February 5

    Jared Weinstein
    (Boston University)

    p-divisible groups over OC
    Complex abelian varieties are classified by pairs (V, L), where V is a finite-dimensional complex vector space and L is a lattice in V equipped with a Riemann form. In this talk we discuss a p-adic analogue of this classical result....(Show Abstract)

    February 12

    Moshe Adrian
    (University of Utah)

    Hecke algebras, simple supercuspidal representations, and the local Langlands correspondence
    A well known result of Borel says that category of modules over the Iwahori-Hecke algebra of a semisimple p-adic group G describes the Bernstein component associated to the unramified principal series of G....(Show Abstract)

    February 19

    Yeansu Kim
    (Purdue University)

    L-functions from Langlands-Shahidi method and the generic Arthur L-packet conjecture
    L-functions are very interesting tools that number theorists have been using since 18th century. Those also appear in the local Langlands conjecture.....(Show Abstract)

    February 26

    Rob Harron
    (Univ of Wisconsin - Madison)

    Computing Hida families
    I will report on joint work with Rob Pollack, Evan Dummit, Marton Hablicsek, Lalit Jain, and Daniel Ross on explicitly computing Hida families using overconvergent modular symbols.....(Show Abstract)

    March 5

    Wieslawa Niziol
    (University of Utah)

    Syntomic cohomology
    Recently Beilinson and Bhatt have developed a new approach to comparison theorems of p-adic Hodge Theory. I will show how it can be used to construct well-behaved syntomic cohomology.....( Show Abstract)

    March 12

    Alina C. Cojocaru
    (Univ of Illinois at Chicago)

    Frobenius fields for elliptic curves
    Let E be an elliptic curve defined over Q. For a prime p of good reduction for E, let πp be the p-Weil root of E and Qp) the associated imaginary quadratic field generated by πp. In 1976, Serge Lang and Hale Trotter formulated a conjectural asymptotic formula.....( Show Abstract)

    This page is maintained by Davide Reduzzi; it was shamelessly copied from Liang Xiao's page, which was shamelessly copied from Kiran Kedlaya's page, 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.