The Abdus Salam International Centre for Theoretical Physics (ICTP), in conjunction with its mathematical theme of the year, Complex Algebraic Geometry and Algebraic Groups, is organizing a School on Automorphic Forms on GL(n) from 31 July to 18 August 2000. It will be directed by G. Harder (Universität Bonn & Max-Planck-Institut für Mathematik, Germany) and M.S. Raghunathan (Tata Institute of Fundamental Research, Mumbai, India).

PROGRAMME

Automorphic Forms has been over the last century a central area in Mathematics, the Langlands programme being the principal preoccupation of many leading minds. In the recent past there have been many important developments in the area. The present School aims to introduce this deep and difficult area to research scholars and students with a relatively modest background.

In a series of lectures over a period of 2 weeks, the following topics will be covered:

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Abelian class field theory

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Artin's L-functions and their meromorphy

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Overview of Langlands programme

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Summary of structure theory of representations of groups over local fields

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Basic facts on automorphic forms (complete reducibility of spaces cusp forms, finite dimensionality of spaces of automorphic forms

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Taniyama-Weil conjecture

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Langlands programme for local fields

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Analytic properties of L-functions of automorphic forms

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Multiplicity 1 theorems

The speakers in the instructional part of the School will include the following:

J. Cogdell (Oklahoma State University, Stillwater, U.S.A.)
G. Harder (Universität Bonn & Max-Planck-Institut für Mathematik, Germany)
D. Prasad (Mehta Research Institute, Allahabad, India)
M.S. Raghunathan (Tata Institute of Fundamental Research, Mumbai, India)
T.N. Venkataramana (Tata Institute of Fundamental Research, Mumbai, India)
T. Wedhorn (Universität zu Köln, Germany)

PARTICIPATION

Mathematicians from all countries that are members of the UN, UNESCO or IAEA can attend the School. The main purpose of the Centre is to help research workers from developing countries through a programme of training activities within a framework of international cooperation. However, students and post-doctoral scientists from developed countries are also welcome to attend. As the School will be conducted in English, participants should have an adequate working knowledge of that language. Participants should preferably have completed some years of study and research after a first degree.

There is no registration fee for participation in the School.

As a rule, all expenses of the participants should be borne by the home institution. However, a limited number of financial grants are available for participants from developing countries. As scarcity of funds allows travel to be granted only in few exceptional cases, every effort should be made by candidates to secure support for their fares (or at least half of their fares) from their home country.

A grant from the European Commission will make it possible to provide financial support (travel and/or subsistence) for some young researchers in Europe who both qualify for the School and satisfy the Age and Residence Criteria.

Age Criterion
Young researchers are researchers up to an age limit of 35 years at the time of the event. Allowance will be made for compulsory military or civil service (actual time spent in military or civil service) and childcare (maximum 2 years per child for the actual time spent off work).

Residence Criterion
Young researchers who are nationals of a Member State of the European Union* or an Associated State**, and active inside a Member State or an Associated State at the time of the Event.

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* Member States of the European Union
Austria, Belgium, Denmark, Finland, France, Germany, Greece, Ireland, Italy, Luxemburg, Netherlands, Portugal, Spain, Sweden, United Kingdom.

** Associated States
Bulgaria, Cyprus, Czech Republic, Estonia, Hungary, Iceland, Israel, Latvia, Liechtenstein, Lithuania, Norway, Poland, Romania, Slovakia, Slovenia.

	
  	School on Automorphic Forms on GL(n)
	(c/o Ms. A. Bergamo)
	Strada Costiera 11
	I-34014 Trieste
	Italy
	Tel.: +39 040 2240201           
	Fax:  +39 040 2240490

	
                                                Trieste, November 1999

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