### 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(PUT_AT_SIGN_HERE)fields.utoronto.ca

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