THEMATIC PROGRAMS

July 31, 2014

THEMATIC PROGRAM ON ARITHMETIC GEOMETRY, HYPERBOLIC GEOMETRY AND RELATED TOPICS
July-December, 2008

Thematic Program Seminars:

Weekly seminars are planned and will involve survey and expository talks by experts.

November 27, 2008 -- 3:30 p.m.
William Cherry, Univ of North Texas

November 24, 2008 -- 1:30 p.m.
Risto Korhonen, Univ of Helsinki
Finite order meromorphic solutions as a detector of Panlevé type difference equations.

No seminars during the week of Nov. 17-21
Workshop on Complex Hyperbolic Geometry & Related Topics

Monday November 10, 2008
tba
Fields Institute, Room 230
3:45-5:00 pm

Monday November 10, 2008
An Ta Thi Hoai
Uniqueness polynomials and some related topics
Abstract: I will discuss some approaches to the problem of constructing and characterizing uniqueness polynomials and unique range sets. For uniqueness polynomials I will discuss a method to explicitly construct regular 1-forms on singular curves associated to the polynomials, and in the case of unique range sets I will explain how a method of Siu can be used to construct examples of unique range sets coming from uniqueness polynomials P without assuming an injectivity condition on the zeros of the derivative P'.
Fields Institute, Stewart Library
2:00-3:00 pm

Thursday November 6, 2008
Anna Posingies
Scattering Constants for Fermat Curves
Fields Institute, Stewart Library
3:45-4:45 pm

Monday November 3, 2008
Kangtae Kim
On Forelli's theorem
Fields Institute, Room 230
3:45-5:00 pm

Monday November 3, 2008
Yuri Bilu (Bordeaux)

Galois representations and Runge's method
Abstract: We use a special version of Runge's method to prove that there exists an integer p_0 such that for any non-CM elliptic curve E over Q and any prime p>p_0 the image of the representation of the absolute Galois group of Q induced by the Galois action on the p-division points of E is not contained in the normalizer of a split Cartan subgroup. This gives a partial answer to an old question of Serre. A joint work with P. Parent.
Fields Institute, Room 230
2:00- 3:00 pm

Thursday October 30, 2008-- 3:45-4:45 pm
Shabnam Akhtari
Quartic Thue Equations

Monday October 27, 2008
No seminars

Mini-Workshop on p-adic dynamics

No seminars during the week of Oct. 20-24

Thursday October 16, 2008-- 3:45-4:45 pm
Kate Petersen

Cusps, congruence subgroups, and Artin's primitive root conjecture

Monday October 13, 2008
Thanksgiving Day, no seminars

Thursday October 9, 2008 -- 3:45-4:45 pm
Shahab Shahabi (McGill)

p-adic deformations of Shintani cycles
Abstract: Let E/Q be an elliptic curve of conductor N having ordinary reduction at a prime p and write f for the newform attached to it. Let K be a real quadratic field in which all the primes of N are split. We construct a p-adic analytic function L(k) which interpolates certain Shintani cycles attached to weight-k-specialization(s) of a Hida family interpolating f. When p divides N exactly, we show that L(k) vanishes to order at least 2 at k=2, and express its second derivative at k=2 as the product of the formal group logarithms of two global points on E defined over a quadratic extension of K. This may be regarded as an analogue for elliptic curves of a limit formula of Kronecker, in which Eisenntein series are replaces by cusp forms.

Monday October 6, 2008--- 3:30-5:00 pm
Pietro Corvaja

On Vojta's conjecture for open surfaces in the split function

Monday October 6, 2008 -1:30- 3:30 pm
Carlo Gasparri (Universita' di Roma)
Geometric Transcendence Theory

Thursday October 2, 2008 -- 3:45- 4:45 pm
Matt Dulock
Uniqueness Results in Abelian Varieties

Monday September 29, 2008
Shou-Wu Zhang
Coxeter Lecture Series
3:30- 4:30 pm

Monday September 29, 2008
Ian Graham
(University of Toronto)
Some aspects of the theory of Loewner chains in several complex variables
Fields Institute, Stewart Library
1:30 - 3:30 pm

Thursday September 25, 2008
Florian Bertrand
Estimates of the Kobayashi metric on almost complex manifolds
Abstract: I will present some recent results (and their applications) related to the asymptotic behaviour of the Kobayashi pseudometric on almost complex manifolds. More preciseily, I'll focus on sharp estimates of this pseudometric near the boundary of J-strictly pseudoconvex domains in real dimension four.
Fields Institute, Stewart Library
3:45-4:45 pm

Monday September 22, 2008 -- 3:45- 5:00 pm
Kumar Murty
Non-vanishing of L functions of modular forms of half integral weight

Monday September 22, 2008--1:30-3:30 pm
Gerd Dethloff (Université de Brest)
Logarithmic Surfaces and Hyperbolicity

Thursday September 18, 2008 -- 3:45-4:45 pm
Nathan Jones
A "proto-trace formula" of Hurwitz and an application
Abstract: In an 1885 paper, Adolf Hurwitz used theta functions in conjunction with Hecke operators to develop certain "class number relations". In this talk, I will discuss his method and describe an application which counts elliptic curves over the rational numbers whose associated division fields have "as much Galois symmetry as possible".

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Thematic Program on Arithmetic Geometry, Hyperbolic Geometry, and Related Topics

For additional information contact thematic@fields.utoronto.ca

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