GTEM/TUBITAK SUMMER SCHOOL

Geometry and Arithmetic around Galois Theory

8 - 19 June 2009, İstanbul

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Poster

Groups and Models: Cherlin Bayramı 8th - 12th June 2009 Bilgi University, Istanbul

Scientific Advisory Committee

P. Dèbes, Université Lille 1

M. Emsalem, Université Lille 1

H. Önsiper, Middle East Tecnical University

M. Uludağ, Galatasaray University

Z. Wojtkowiak, Université de Nice

Objectives of GAGT 2009

This is a research level school on Algebraic Covers and their Moduli Spaces (Hurwitz spaces) in relation with Geometric Galois Theory, Inverse Galois Problems, Field Arithmetic, Fundamental groups and Galois action, Deformation methods. There will be lectures on Constructions of covers, Ample Fields, Counting points on a Hurwitz space, Arithmetic aspects of Hurwitz spaces and Descent theory. Afternoon sessions are devoted to talks by researchers including Ph.D. students. There will be a series of preparatory lectures on Infinite Galois Theory and Hurwitz Schemes before the summer school.

This summer school is part of the activities of the GTEM research network of EU. Before the summer school, between 4-7 June, experts will deliver preparatory talks to students. This event will take place in Feza Gürsey Institute (FGI) and is organised by K. Aker.

Organizers

K. Aker, Feza Gursey Institute

P. Dèbes, Université Lille (chair)

M. Tosun, Galatasaray University

M. Uludağ, Galatasaray University (chair)

S. Ünver, Koç University

Lectures

Lecturer	Minicourse
K. Aker, Feza Gursey	Hurwitz Schemes (at FGI)
N. Borne, Lille	Extensions of Galois groups by solvable groups, and application to fundamental groups of curves
A. Cadoret, Bordeaux	Descent theory for covers (lectures)
E. Çakçak, METU	An Introduction to Algebraic Fundamental Groups (at FGI) Lenstra's Notes
P. Dèbes	Geometric Galois Theory: an Introduction (at FGI)
M. Dettweiler, Heidelberg	Middle convolution and the Inverse Galois Problem
A. Feyzioglu, Bosphorus	Infinite Galois Theory (at FGI)
A. Fehm, Tel Aviv	Ample Fields
W-D. Geyer, Erlangen	Ample Fields
D. Haran, Ramat Aviv	Ample Fields
İ. İkeda, Yeditepe	Higher-dimensional Langlands correspondence
M. Jarden, Tel Aviv	Ample Fields
Ş. Özden, Mimar Sinan	Fields of Norms (at FGI)
L. Ramero, Lille	Lectures on logarithmic algebraic geometry (lectures)
S. Turkelli, Wisconsin-Madison	Malle's conjecture and number of points on a Hurwitz space
Z. Wojtkowiak, Nice	Galois actions on fundamental groups and on torsors of paths

Research Talks

Speaker	Talk Title
M. Antei, Lille	On the fundamental group scheme of a family of curves
L. Bary-Soroker	Frobenius automorphism and irreducible specializations
A. Cadoret, Bordeaux	A uniform open image theorem for $\ell$-adic representations
O. Cau, Lille
B. Collas, Paris 6	Action on torsion-elements of mapping class groups by cohomological methods
M. Dettweiler, Heidelberg	On the automorphy of hypergeometric local systems
J.C. Douai, Lille	Principe de Hasse et Cohomologie des groupes
O. Hatami, Tehran
R. P. Holzapfel	Galois Reflection Towers
M. Kim, London	Diophantine geometry and Fundamental groups
Sergio Mendes, Lisbon
D. Neftin, Tel Aviv	On arithmetic field equivalences and crossed product division
Ambrus Pal, London	The real section conjecture and Smith's fixed point theorem
Elad Paran, Tel Aviv	Power series over generalized Krull domains
S. Petersen, München
J. Poineau, Regensburg	Inverse Galois Problem for Convergent Arithmetic Power Series
J. Schmidt, Heidelberg
S.Turkelli,Wisconsin-Madison	Homological Stability of Hurwitz Schemes
A. Yafaev, London	Andre-Oort and Manin-Mumford conjectures: a unified approach