THEMATIC PROGRAMS

August  1, 2014

L-functions Program
September 1993 - July 1994

L-functions Program Committee:

Manfred Kolster (Department of Mathematics and Statistics, McMaster University)
Victor Snaith (Department of Mathematics and Statistics, McMaster University)
Kumar Murty (Department of Mathematics, University of Toronto)
Ram Murty (Department of Mathematics, McGill University)

Residual activity for the number theory participants will carry on for the period April 1, 1994 to July 31, 1995. From its inception in September, 1993, the L-functions program was designed to apitalise on the polarisation of research directions which were expected to arise from the Newton Institute, Cambridge venture held in the previous academic year. Continued advances have been made both in the theory (e.g. the work of Kato, Kolyvagin, Rubin, Wiles and others on the Main Conjecture of Iwasawa Theory) and in the applications (e.g. the work of Lenstra, Van der Geer etc. on codes and primality testing). The Fields Institute program on L-functions has been fruitful in the area of collaboration opportuniites for the participants and many research works have geen completed in the paset seven months as well as others in progress as the program continues.

Workshops

April 11-15, 1994 -- Workshop on L-functions and Automorphic Forms

This workshop will focus on recent developments related to the search for a general reciprocity law. This law is the central problem of number theory and brings into focus concepts of representation theory and algebraic geometry. The proff of the Taniyama conjecture in a large number of cases is the most spectacular recent progress on this problem.

March 21 - 25, 1994 -- Conference on L-functions
Coordinators: Victor Snaith and Manfred Kolster (McMaster University)

February 28 - March 4, 1994 -- Algebraic K-theory and Arithmetic
Coordinators: Victor Snaith and Manfred Kolster (McMaster University)

February 14 - 18, 1994 -- Algebraic K-theory and Arithmetic
Coordinators: Victor Snaith (McMaster University)

Courses

September 14 - December 9, 1993 -- L-functions Lecture Series
Coordinators: Victor Snaith and Manfred Kolster (McMaster University)

  1. Iwasawa-Theory and algebraic K-Theory (Manfred Kolster)
  2. L-functions and Automorphic forms (Kumar Murty)
  3. Basic Galois Module Structure (Victor Snaith)
  4. Supplement on Multiplicative Galois Module Structure (Al Weiss)
Seminars on L-Functions
April 28, 1994 -- Postdoctoral Seminar Series on L-Functions
John Huang (McMaster University)
Hopf Algebras and Real Projective Representations of Generalised Symmetric Groups

April 7, 1994 --
Enric Nart (The Autonomous University of Barcelona)
Some Open Questions in Coding Theory

March 31, 1994
John Coates (Cambridge University)
Iwasawa Theory of the Symmetric Square

Fernando Q. Gouvea (Colby College, Waterville)
Deformations of Galois Representations

March 28-29, 1994
Jean-Louis Colliot-Thélène (C.N.R.S. University of Paris-South, Orsay) Rational Points on Linear Algebraic Groups and Rationality Problems

March 28, 1994
Peter Sheneider (University of Cologne)
The Bruhat-Tits Building in Smooth Representation Theory

March 17, 1994
Uwe Jannsen (University of Cologne)
Mixed Motives, Algebraic K-theory and 1-adic Cohomology

March 15, 1994
T. Nguyen Quang Do (University of Besançon)
On Gross' conjecture

March 8, 10, 1994
Wayne Raskind (University of Cologne)
Algebraic K-theory, Class Field Theory and Algebraic Cycles

February 24, 1994
David Burns (King's College, London)
Tate Motives and Galois Module Structure

February 22, 1994
Martin J. Taylor (University of Manchester)
An Extended Group Scheme Workout

February 11, 1994
Philippe Cassou-Nogués (University of Bordeaux I)
The Embedding Probem and Class Number Parity

February 3, 1994
B. Sury (University of Toronto)
Work of Margulis on D

February 1, 1994
John Scherk (University of Toronto) Lang-Weil Estimate

December 9, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
François Destrempes (University of Toronto)
p-Divisable Groups and Reciprocity Laws

December 2, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Boris Brauckmann (McMaster University)
On the Higher Étale Tame and Wild Kernel of a Number Field

December 2, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Michael Bean (University of Toronto)
The Number of Sulutions of the Thue Inequality

November 18, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Hao Shen (McMaster University)
Torsion Algebraic Cycles for Varieties over Local Fields

November 11, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Magdy Assem (University of Toronto)
Unipotent Orbital Integrals on P-adic Groups

November 3, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Raymond Ross (The Fields Institute)
K of Fermat Curves with Divisional Support at Infinity

October 27, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Xiangyong Wang (University of Alberta)
A Class of Integral Representations

October 20, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Shu-Leung Tang (McMaster University)
Iwasawa Theory for P-adic Representations

October 13, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Yasuhiro Goto (Queen's University)
On the Brauer Groups of Certain Weighted Diagonal Surfaces

October 6, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Werner Bley (The Fields Institute)
A Leopoldt-type Result for Rings of Integers of Cyclotomic Extensions

September 29, 1993 -- Postdoctoral/Graduate Student Seminar Series on L-Functions
Liem Mai (The Fields Institute)
The Average Value of L-Functions at the Critical Point

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