FP6 Research and Training Network
Galois Theory and Explicit Methods

Year 1 Year 2 Year 3 Year 4

Local courses, seminars, workshops in year 2
October 1 2007 to September 30 2008

  • Oct 4, 2007, Paris: Seminaire Claude Chevalley
    Weekly seminar devoted to study of braid groups, mapping class groups, Coxeter groups etc.
  • Oct 4, 2007, Leuven: seminar 'Number theory and algebraic geometry'
    local seminar
  • Oct 8, 2007, Essen: Duality Theorems in Arithmetic and Applications to Data Security (Gerhard Frey)
    This is a one-week (24 hours) block. Contents: Duality in number theory and geometry, geometrically realized Discrete Logarithms with bilinear structures, and relations with local and global Brauer groups.
  • Oct 8, 2007, Barcelona: Mini-course on Number Theory: three views of class field theory and complex multiplication by David Cox
    Monday 8th: Principal moduli and class fields

    Tuesday 9th: Abel's theorem on the lemniscate

    Thursday 11th: Mathematical origami

    All three lectures will take place from 15:00 to 17:00 in room 101 at Facultat de Matematiques i Estadistica, Universitat Politecnica de Catalunya, address: Pau Gargallo 5, 08028 Barcelona

  • Oct 15, 2007, Essen: Modulformen II (Computational Arithmetic of Modular Forms) (Gabor Wiese)
    One semester course (until February 2008, 4h per week) on the computation of modular forms. The course will be accompanied by theoretical and computer exercises. The teaching language is English.
  • Oct 15, 2007, Barcelona: Mini-course on Toric varieties by David Cox
    Monday 15th: Toric varieties and geometric invariant theory

    Tuesday 16th: Toric varieties and the minimal model program

    Thursday 18th: Geometric modeling and commutative algebra

    All three lectures will take place from 15:00 to 17:00 in room S1 at Facultat de Matematiques, Universitat de Barcelona, address: Gran Via 585, 08007 Barcelona

  • Oct 15, 2007, Heidelberg: Galois Theory of Differential Equations
    One semester course (4h per week) taught by J. Hartmann
  • Oct 17, 2007, Barcelona: Lecture by David Cox at the Colloquium of the Mathematics Faculty
    Lecture by David Cox: "Why Eisenstein discovered the Eisenstein Criterion and why Schoenemann discovered it first" from 12:30 to 13:30, room B6, Facultat de Matematiques, Universitat de Barcelona, Gran Via 585.
  • Oct 17, 2007, Heidelberg: t-Motives
    One semester seminar (2h per week).
  • Oct 18, 2007, Heidelberg: Contructive Galois Theory
    One semester seminar (2h per week) organised by B.H. Matzat and A. Maurischat
  • Jan 16, 2008, Lille: Théorie algébrique des nombres : structure galoisienne relative d'anneaux d'entiers
    One semester course taught by B. Sodaigui
  • Jan 21, 2008, Paris: Seminaire polylogarithmes et multizetas
    Weekly seminar on recent advances in the theory of multiple zeta values and polylogarithms.
  • Jan 22, 2008, Essen: Workshop Arithmetic Geometry
    This workshop is dedicated to recent results and an exchange of ideas in Arithmetic Geometry with a special focus on Galois representations and modular forms. Organisers: G. Frey, G. Wiese.
  • Jan 28, 2008, Barcelona: Seminari de Teoria de Nombres UB-UAB-UPC
    One week seminar covering two topics: "Siegel modular forms" and "Monographic lectures on D. Zagier work" and including contributed talks. It took place at the Escola Politecnica Superior d’Enginyeria de Vilanova i la Geltru.
  • Feb 1, 2008, Leuven: Advanced Methods in Cryptography
    Master level course on cryptography
  • Feb 5, 2008, Leiden: Elliptic Curves
    Instructors: P. Stevenhagen, G. Cornelissen
  • Feb 11, 2008, Barcelona: Algebraic Number Theory
    One semester course on the main topics of algebraic number theory including classical theorems of Hermite, Minkowski, Dirichlet and Kronecker-Weber, taught by Pilar Bayer.
  • Feb 11, 2008, Barcelona: Lectures by Dr. Jerald J. Kovacic
    Two lectures on "Differential Galois Theory of strongly normal extensions" delivered by Jerald J. Kovacic, The City College of CUNY, at the Mathematics Faculty of the University of Barcelona.
  • Feb 11, 2008, Heidelberg: Workshop on Constructive Galois Theory
    This workshop is intended for young mathematicians involved in the GTEM project. It included tutorials on Differential Galois theory (by T. Dyckerhoff), on the Noether problem (by G. Kemper) and on Patching (by J. Hartmann).
  • Feb 18, 2008, Lausanne: Modular forms and applications
    One semester course given by Philippe Michel
  • Mar 17, 2008, Bordeaux: Journées "Codage et Cryptographie" 2008
  • Apr 7, 2008, Essen: Galois Representations (Gabor Wiese)
    One semester course (2h per week) in English.
  • Apr 8, 2008, Heidelberg: p-adic Differential Equations
    One semester course (2h per week) taught by J. Hartmann
  • Apr 9, 2008, Heidelberg: Motives
    One semester seminar (2h per week)
  • Apr 9, 2008, Essen: Iwasawa Theory of Elliptic Curves
    One semester seminar (2h week) in English.
  • Apr 10, 2008, Essen: Quaternion Algebras
    One semester seminar (2h per week) in English. Organised by Gebhard Böckle, Juan Marcos Cerviño, Lassina Dembélé, Gerhard Frey and Gabor Wiese.
  • Apr 10, 2008, Heidelberg: Galois Representations
    One semester course (2h per week) taught by M. Dettweiler
  • Apr 14, 2008, Warwick: Instructional Workshop on Surfaces: Geometry and Arithmetic
    Instructional Workshop on Surfaces: Geometry and Arithmetic, part of the Special Period in Arithmetic Geometry (April-June 2008), part of the 2007/2008 Warwick Algebraic Geometry Symposium. Comprised three coordinated lecture series by Martin Bright, Damiano Testa, and local network member Ronald van Lijk.
  • Apr 21, 2008, Warwick: Galois Representations of Modular Forms
    A 4-hour lecture course by J. Bosman (Leiden)
  • Apr 22, 2008, Essen: Workshop Factoring Large Numbers
    Workshop at the Institute for Experimental Mathematics. Organiser: G. Frey.
  • Apr 28, 2008, Warwick: Visibility of Tate-Shafarevich Groups
    A 3-hour lecture course by T. Fisher (Cambridge)
  • May 5, 2008, Warwick: The Conjectures of Birch and Swinnerton-Dyer
    A 4-hour lecture course by T. Dokchitser (Cambridge)
  • May 12, 2008, Barcelona: Strongly normal differential extensions
    A Seminar on strongly normal differential extensions taking place on Mondays at 11 at Universitat Politecnica de Catalunya or Universitat de Barcelona alternatively.
  • May 12, 2008, Warwick: Introduction to Theta Functions
    A 3-hour lecture course by B. Hart (Warwick)
  • May 16, 2008, Barcelona: Lecture by Prof. Jack Sonn
    Lecture on "Polynomials with roots in mathbb{Q}p for all p" delivered by Jack Sonn, University of Haifa, at the Number Theory Seminar of the University of Barcelona.
  • May 19, 2008, Barcelona: Course on Iwasawa theory
    12 hour course on “Iwasawa theory for elliptic curves" delivered by Christian Wuthrich, University of Nottingham, at the Mathematics and Statistic Faculty of the Universitat Politècnica de Catalunya.
  • May 22, 2008, Barcelona: Lecture by Prof. Jack Sonn
    Lecture on "Abelian extensions of global fields with all local degrees equal to n and the n-torsion subgroup of the Brauer group" delivered by Jack Sonn, University of Haifa, at the Number Theory Seminar of the Catalonian Polytechnical University.
  • Jun 2, 2008, Rome: Number Fields, Lattices and Curves
    The theme of this instructional network conference is the interplay between number fields, lattices and algebraic curves. It takes place in Cetraro (Italy),
  • Jun 6, 2008, Warwick: The Gross-Zagier formula
    A 2-hour lecture course by A. Pal (Imperial)
  • Jun 16, 2008, Warwick: Research workshop on Rational Points on Curves and Higher Dimensional Varieties
    We bring together many leading experts in the subject and aim to give them an opportunity to present their latest results and insights. To create a situation that leads to fruitful exchange, the participants include both people working on the theoretical side of the subject, and those working on the explicit or experimental side. Through this we hope to achieve a better understanding of the current state of the art and to provide the basis for animated discussions. More importantly, we aim to identify and explore the most promising directions for future work.
  • Jul 27, 2008, Tel Aviv: Arithmetic geometry and public key cryptography
    A summer school with the above mentioned title was organized by Gerhard Frey (scientist in charge, Essen) and Moshe Jarden (scientist in charge, Tel Aviv) in Tel Aviv University. The summer school presented the basic features of public key cryptography along with the necessary background from arithmetic geometry. Fortenn German students, 10 Israeli students and eight students from other countries participated in the summer school. The teachers consisted of Gerhard Frey (Essen), Moshe Jarden (Tel Aviv), Wulf-Dieter Geyer (Erlangen), Frederik Vercauteren (Leuven), Claus Diem (Leipzig), and Uzi Vishne (Bar Ilan). Fifteen of the participants were GTEM members among them six ESRs. In addition to the theoretical material the students were introduced to a computational package called SAGE and praticed it in the afternoons. The topics presented included 1. Curves, Jacobian, and zeta functions over finite fields. 2. Principles of public key cryptography, RSA, discrete logarithms, and protocols based on pairings. 3. Index calculus for curves of small genus 4. Applications in the world of communications 5. Arithmetic of elliptic and hyperelliptic curves. 6. Point counting 7. Duality theorem and Brauer groups.
  • Jul 27, 2008, Essen: Summer School on Arithmetic Geometry and Public Key Cryptography
    Tel Aviv University. Organisers: G. Frey, M. Jarden.
  • Sep 1, 2008, Bordeaux: Colloquium
    Colloquium de Mathématiques de Bordeaux
  • Sep 1, 2008, Bordeaux: Master courses in Pure Mathematics
    Series of lectures
  • Sep 1, 2008, Bordeaux: Seminar in Number Theory.
    Weekly seminar in Number theory
  • Sep 1, 2008, Bordeaux: Les leçons de mathématiques d’aujourd’hui
    Les leçons de mathématiques d’aujourd’hui sont réalisées par des experts de rénommée internationale.
  • Sep 2, 2008, Leiden: Algebraic number theory
    Orders in number fields, Class group, units.
  • Sep 10, 2008, Lille: Groupes finis, réseaux et théorie du codage
    A one-semester course taught by Valery Gritsenko
  • Sep 15, 2008, Essen: Hilbert Modular Forms
    2-week compact course taught by Lassina Dembélé.
  • Sep 17, 2008, Paris: Tresses a Paris
    Three day conference on braid groups in Paris
  • Sep 22, 2008, Barcelona: Arithmetic Geometry
    A master course taught by Angela Arenas, Luis Dieulefait and Nuria Vila.
  • Sep 23, 2008, Barcelona: Differential Galois Theory Seminar
    A seminar devoted to study the 1996 papers of Umemura "Differential Galois theory of infinite dimension" and "Galois theory of algebraic and differential equations" organized by Teresa Crespo and Florian Heiderich.