 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 oneweek (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: Minicourse on Number Theory: three views of class field theory and complex multiplication by David Cox
Monday 8th: Principal moduli and class fieldsTuesday 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: Minicourse on Toric varieties by David Cox
Monday 15th: Toric varieties and geometric invariant theoryTuesday 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: tMotives
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 UBUABUPC
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 KroneckerWeber, 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: padic 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 (AprilJune 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 4hour 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 TateShafarevich Groups
A 3hour lecture course by T. Fisher (Cambridge)  May 5, 2008, Warwick: The Conjectures of Birch and SwinnertonDyer
A 4hour 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 3hour 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 ntorsion 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 GrossZagier formula
A 2hour 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), WulfDieter 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 onesemester course taught by Valery Gritsenko  Sep 15, 2008, Essen: Hilbert Modular Forms
2week 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.

