The University of Toronto Number
Theory/Representation Theory Seminar |
|---|
This seminar is organized by Jim Arthur. If you would like to speak at the seminar, please email Jim (arthur at math dot toronto dot edu).
For inquiries regarding this web page, please email Jonathan (jkorman at math dot toronto dot edu).
| DATE and TIME | SPEAKER | TITLE |
| Jan. 25, Wednesday 2:10--3:00PM |
S. Arkhipov U. of Toronto |
Introduction to local geometric Langlands correspondence, part I. |
| Feb. 1, Wednesday 2:10--3:00PM |
S. Arkhipov Toronto |
Introduction to local geometric Langlands correspondence, part II. |
| Feb. 8, Wednesday 2:10--3:00PM |
J. Arthur Toronto |
The Langlands programme and weighted orbital integrals. |
| March 1, Wednesday 2:10--3:00PM |
S. Sternberg Harvard |
The Ehrhart formula for symbols and a generalization of Euler's constant. |
| March 8, Wednesday 2:10--3:00PM |
J. Adler Akron and Toronto |
Multiplicity one upon restriction. |
| March 15, Wednesday 2:10--3:00PM |
F. Murnaghan Toronto |
Equivalence of tame supercuspidal representations. |
| March 31, Friday 2:10--3:00PM Bahen 6183 |
I. Fesenko Nottingham |
Translation inviariant measure on arithmetic loop spaces and local zeta integral of two dimensional arithmetic schemes. |
| April 3, Monday 4:10--5:00PM Bahen 6180 (board room) |
I. Fesenko Nottingham |
Global zeta integral of an integral model of elliptic curve over a global field and two dimensional generalization of the Tate-Iwasawa adelic method. |
| April 5, Wednesday 2:10--3:00PM |
I. Fesenko Nottingham | Riemann hypothesis for zeta integral in dimension two. Mean-periodic functions and meromorphic continuation and functional equation of zeta functions of arithmetic schemes. |
March 1
Title: The Ehrhart formula for symbols and a generalization of Euler's constant.
Speaker: Shlomo Sternberg (Harvard U.)
Abstract: We derive an Ehrhart formula for symbols from the Euler-MacLaurin
formula with remainder for simple polytopes. A constant appears in
this formula which is a generalization of Euler's constant.
March 8
Title: Multiplicity one upon restriction.
Speaker: Jeff Adler (U. of Akron and U. of Toronto)
Abstract: Suppose $G$ is a quasisplit $p$-adic group, and $G'$ is its derived group. Conjecturally, the restriction to $G'$ of an irreducible, admissible representation of $G$ should decompose without multiplicity. I will present a simple proof of this fact when $G$ is the group of symplectic or orthogonal similitudes.
March 15
Title: Equivalence of tame supercuspidal representations.
Speaker: Fiona Murnaghan (U. of Toronto)
Abstract: Suppose that G is a reductive p-adic group that splits over a tamely ramified extension. We will describe a result that gives necessary and sufficient conditions for equivalence of two tame supercuspidal representations of G. These conditions are expressed in terms of properties of the G-data used in constructing the representations. Some examples will be discussed. We will also indicate how the criterion for equivalence may be used to give a new parametrization of tame supercuspidal representations.
March 31
Title: Translation inviariant measure on arithmetic loop spaces
and local zeta integral of two dimensional arithmetic schemes.
Speaker: Ivan Fesenko (Univ. of Nottingham)
Abstract: I will sketch main strands of a programme aimed to prove meromorphic continuation, functional equation of L-function of elliptic curve over a global field using a new translation invariant measure and harmonic analysis on arithmetic loop spaces, and its applications to the Riemann hypothesis in dimension two. The talk can be of interest to number theorists, representation theorists, alg geometers, analysts, and mathematical physicists.