FP6 Research and Training Network
Galois Theory and Explicit Methods

Year 1 Year 2 Year 3 Year 4

Local courses, seminars, workshops in year 3
October 1 2008 to September 30 2009

  • Oct 4, 2008, Leuven: Seminar 'Number theory and algebraic geometry'
    local seminar
  • Oct 10, 2008, Paris: Seminaire polylogarithmes et multizetas
    Weekly seminar on recent advances in the theory of multiple zeta values and polylogarithmes (second year).
  • Oct 12, 2008, Paris: Cours de geometrie algebrique
    Introductory course to algebraic geometry
  • Oct 14, 2008, Heidelberg: The arithmetic geometry of the unipotent fundamental group
    One semester seminar (2h per week) organized by J. Stix
  • Oct 15, 2008, Heidelberg: Hopf algebras and Galois theories
    One semester seminar (2h per week) organized by A. Maurischat and M. Wibmer
  • Oct 16, 2008, Essen: p-adic Galois Representations
    One semester seminar (2h per week) in English. Organised by Gebhard Böckle and Gabor Wiese.
  • Nov 19, 2008, Barcelona: Modular curves and semistable abelian varieties over Q
    Lecture by René Schoof
  • Dec 2, 2008, Barcelona: Modular Calabi-Yau manifolds of Kummer type
    Lecture by Slawomir Cynk
  • Jan 12, 2009, Paris: Aspects de la geometrie algebrique
    5-day workshop at IHES, Bures-sur-Yvette
  • Jan 14, 2009, Essen: Workshop Arithmetic Geometry
    This is a small-scale workshop dedicated to recent results and an exchange of ideas in Arithmetic Geometry. Speakers: Ian Kiming, Pierre Parent and Christophe Ritzenthaler.
  • Jan 14, 2009, Warwick: Introduction to Modular Forms
    An 18-hour introduction to classical modular forms, given in Warwick and simultaneously broadcast to Oxford, Imperial College and Bristol. Given by John Cremona.
  • Jan 28, 2009, Barcelona: Seminari de Teoria de Nombres UB/UAB/UPC
    The yearly Barcelona Number Theory Seminar will be devoted in 2009 to "Moduli spaces" and "Ken Ribet works". It will take place at the Mathematics Faculty of the University of Barcelona.
  • Feb 1, 2009, Leuven: Advanced Methods in Cryptography
    Master level course on cryptography
  • Feb 3, 2009, Leiden: Algebraic Geometry
    Riemann's zeta function has a natural generalisation to zeta functions associated to finitely generated (commutative) rings, and more generally, to schemes of finite type. For nonsingular projective curves over finite fields the Riemann hypothesis has been proven by Hasse (elliptic curves) and Weil (arbitrary genus, 1940's). The case of higher dimensional varieties over finite fields was proved by Deligne (1974), building on the work of Grothendieck. In this course we will treat the case of curves over finite fields, using intersection theory on surfaces. The course will start with some explicit examples of zeta functions, including Riemann's and those of curves over finite fields. Then slowly we will develop those techniques necessary to treat Weil's proof, from Hartshorne's book Algebraic Geometry. Finally, we will present Weil's proof. Our goal is to provide a good overview of Weil's proof. Obviously, it is not desirable nor possible to treat all of Hartshorne's book.
  • Feb 9, 2009, Barcelona: Algebraic Number Theory
    A master course taught by Pilar Bayer, Teresa Crespo and Artur Travesa. The main topics were ramification theory, class field theory (local and global).
  • Feb 17, 2009, Heidelberg: Invariant theory
    Mini-Workshop organized by E. Dufresne
  • Mar 3, 2009, Heidelberg: Seminar on model theory of differential and difference fields
    Two week seminar organized by the three ESR's Arno Fehm (Tel Aviv), Florian Heiderich (Barcelona), Michael Wibmer (Heidelberg).
  • Mar 3, 2009, Warwick: Warwick Number Theory Seminar
    A weekly seminar featuring local and invited speakers
  • Apr 2, 2009, Heidelberg: Cup-products in Galois cohomology
    One semester seminar (2h per week) organized by J. Stix
  • Apr 2, 2009, Heidelberg: p-divisible groups
    One semester course (2h per week) taught by J. Stix
  • Apr 3, 2009, Heidelberg: Groups of Lie-type
    One semester course (2h per week) taught by M. Dettweiler
  • Apr 15, 2009, Heidelberg: Polylogarithms
    One semester seminar (2h per week)
  • Apr 20, 2009, Tel Aviv: GTEM Profinite Group Day
    One-day intensive conference on profinite fundamental groups at Tel Aviv University, organized jointly with the Paris team.
  • May 1, 2009, Barcelona: Advanced Course by Eric Urban
    A four month course by Eric Urban, Columbia University, on Bloch-Kato conjecture or related topics at Centre de Recerca Matemàtica
  • May 4, 2009, Essen: workshop "Pairings in Arithmetic Geometry and Cryptography"
    The workshop will take place at May 4, 5 and 6 , 2009. In the workshop we shall study bilinear structures on ideal class groups of curves over finite fields induced by duality theorems of class field theory. Computational aspects as well as applications to public key cryptography will be in the center of the talks. We plan to have two series of introductary minicourses in the mornings and lectures about the state of the art and new perspectives in the afternoons. Confirmed speakers are: P. Barreto, S.Duquesne,D.M. Freeman, G. Frey, F. Hess, D. Lubicz, M. Naehrig, M. Scott, F. Vercauteren. A program will be announced soon.
  • Jul 6, 2009, Lausanne: The Geometric Theory of Quadratic Forms
    In the framework of the EPFL doctoral school Prof. Alexander Vishik (University of Nottingham, UK) will hold an intensive course about the geometric theory of quadratic forms. More specifically he will introduce the theories of Chow groups and Chow motives and their applications to the theory of generic splitting of quadratic forms. The course will be held from July 6 - July 10, 2009, and it consists of 4 x 45 minutes of lectures and 90 minutes of exercise sessions each day.
  • Jul 9, 2009, Essen: Festkolloquium und Oberseminar zu Ehren von Prof. Dr. Dr. h.c. Gerhard Frey
  • Jul 20, 2009, Lausanne: Lattices and Applications
    The summer school will be held from July 20 to July 24, 2009. It will consist of talks about current research topics and three minicourses of two to three lectures each. The following colleagues have kindly agreed to give those courses: Jean-Paul Cerri - "Euclidean Minima of Number Fields"; Gabriele Nebe - "An Introduction to Lattices"; Fréderique Oggier - "Ideal Lattices and Codes".
  • Sep 1, 2009, Bordeaux: Master courses in Pure Mathematics
    Series of lectures
  • Sep 1, 2009, Bordeaux: Les leçons de mathématiques d’aujourd’hui
    Les leçons de mathématiques d’aujourd’hui sont réalisées par des experts de rénommée internationale.
  • Sep 1, 2009, Barcelona: Arithmetic Geometry Programme
    One year long programme on "Arithmetic Geometry" organized by Luis Dieulefait, Victor Rotger and Francesc Bars at the Centre de Recerca Matemàtica. It includes three periods of 2 week advanced courses which sum up 50 hours of lectures as well as several advanced courses along each term consisting in one hour lecture per week. Two thirds of the programme will be devoted to Modular Forms and Modularity and one third to Function Fields of Positive Characteristic.
  • Sep 1, 2009, Bordeaux: Seminar in Number Theory
    Weekly seminar in Number theory
  • Sep 1, 2009, Bordeaux: colloquium
    Colloquium de mathématiques de Bordeaux
  • Sep 8, 2009, Leiden: Elliptic Curves
    Elliptic curves are fundamental objects in a large part of mathematics. Along various historical paths, their origins can be traced to calculus, complex analysis and algebraic geometry, and their arithmetic aspects have made them key objects in modern cryptography and in Wiles' proof of Fermat's last theorem. This course is an introduction to the algebraic, geometric, complex analytic and number theoretical aspects of the theory of elliptic curves.
  • Sep 17, 2009, Lille: Arithmétique et g\'eom\'etrie alg\'ebrique
    One semester course taught by P. Dèbes
  • Sep 17, 2009, Lille: GTEM seminar
    A weekly seminar on Galois Theory and explicit methods in Arithmetic
  • Sep 21, 2009, Barcelona: Levels of reducible Galois representations
    Lecture by Ken Ribet
  • Sep 21, 2009, Barcelona: Arithmetic Geometry
    A master course taught by Àngela Arenas, Luis Dieulefait and Núria Vila