School and Conference on Analytic Number Theory (23 April - 11 May 2007)

[Number Theory]

the Abdus Salam International Centre for Theoretical Physics

School and Conference on Analytic Number Theory
Trieste - Italy, 23 April 2007 - 11 May 2007

Directors: R. Balasubramanian, J.-M. Deshouillers and E. Kowalski
ICTP Local Organizer: Le Dung Trang

Venue: Main Building Lecture Hall

Preliminary programme

(Please note, the Programme of the last week will be announced at a  
later stage)


Monday 23 April 2007

08:30 - 10:00	REGISTRATION AND ADMINISTRATIVE FORMALITIES

10:00 - 10:15	Le Dung Trang, ICTP, Trieste, Italy
			OPENING

10:15 - 10:30	E. Kowalski, Universite de Bordeaux 1, Bordeaux, France
			Introductory remarks

10:30 - 12:30	J-M. Deshouillers, Universite de Bordeaux 1, Bordeaux,  
France
			Probabilistic methods I

12:30 - 14:00	--- Lunch break ---

14:00 - 15:00	R. Balasubramanian, The Institute of Mathematical  
Sciences, Chennai, India
			Additive number theory I

15:00 - 15:05	--- Break ---

15:05 - 16:05	R. Balasubramanian, The Institute of Mathematical  
Sciences, Chennai, India
			Additive number theory II

Tuesday 24 April 2007

09:30 - 10:30	K. Srinivas, The Institute of Mathematical Sciences,  
Chennai, India
			Basic theory of the Riemann zeta and Dirichlet L-functions I

10:30 - 10:45	--- Coffee break ---

10:45 - 11:45	K. Srinivas, The Institute of Mathematical Sciences,  
Chennai, India
			Basic theory of the Riemann zeta and Dirichlet L-functions II

11:45 - 12:45	J-M. Deshouillers, Universite de Bordeaux 1, Bordeaux,  
France
			Probabilistic methods II

12:45 - 14:00	--- Lunch break ---

14:00 - 15:00	J-M. Deshouillers, Universite de Bordeaux 1, Bordeaux,  
France
			Probabilistic methods III

15:00 - 15:05	--- Break ---

15:05 - 16:05	E. Bombieri, Institute for Advanced Study, Princeton, USA
			ICTP/SISSA Joint Colloquium in Mathematics "Kahane polynomials and  
their derandomization"
			Joint work with J. Bourgain

Wednesday 25 April 2007

09:30 - 10:30	K. Srinivas, The Institute of Mathematical Sciences,  
Chennai, India
			Basic theory of the Riemann zeta and Dirichlet L-functions III

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	K. Srinivas, The Institute of Mathematical Sciences,  
Chennai, India
			Basic theory of the Riemann zeta and Dirichlet L-functions IV

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	P. Michel, Universite de Montpellier II, Montpellier,  
France
			Modular forms and automorphic L-functions I

15:00 - 15:05	--- Break ---

15:05 - 16:05	P. Michel, Universite de Montpellier II, Montpellier,  
France
			Modular forms and automorphic L-functions II

Thursday, 26 April 2007

09:30 - 10:30	P. Michel, Universite de Montpellier II, Montpellier,  
France
			Modular forms and automorphic L-functions III

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	P. Michel, Universite de Montpellier II, Montpellier,  
France
			Modular forms and automorphic L-functions IV

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	B. Green, University of Cambridge, Cambridge, UK
			Additive combinatorics I

15:00 - 15:05	--- Break ---

15:05 - 16:05	B. Green, University of Cambridge, Cambridge, UK
			Additive combinatorics II

Friday 27 April 2007

09:30 - 10:30	R. Balasubramanian, The Institute of Mathematical  
Sciences, Chennai, India
			Additive number theory III

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	R. Balasubramanian, The Institute of Mathematical  
Sciences, Chennai, India
			Additive number theory IV

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	B. Green, University of Cambridge, Cambridge, UK
			Additive combinatorics III

15:00 - 15:05	--- Break ---

15:05 - 16:05	B. Green, University of Cambridge, Cambridge, UK
			Additive combinatorics IV

Monday 30 April 2007

09:30 - 10:30	B. Green, University of Cambridge, Cambridge, UK
			Additive combinatorics V

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	K. Belabas, Universite de Bordeaux 1, Bordeaux, France
			Algorithmic aspects of analytic number theory I

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	K. Belabas, Universite de Bordeaux 1, Bordeaux, France
			Algorithmic aspects of analytic number theory II

15:00 - 15:05	--- Break ---

15:05 - 16:05	K. Belabas, Universite de Bordeaux 1, Bordeaux, France
			Algorithmic aspects of analytic number theory III

Tuesday 1 May 2007

09:30 - 10:30	T. Browning, University of Bristol, Bristol, UK
			Counting rational points on algebraic varieties I

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	T. Browning, University of Bristol, Bristol, UK
			Counting rational points on algebraic varieties II

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	J. Friedlander, University of Toronto, Toronto, Canada
			Introduction to sieve methods I

15:00 - 15:05	--- Break ---

15:05 - 16:05	J. Friedlander, University of Toronto, Toronto, Canada
			Introduction to sieve methods II

Wednesday 2 May 2007

09:30 - 10:30	J. Friedlander, University of Toronto, Toronto, Canada
			Introduction to sieve methods III

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	J. Friedlander, University of Toronto, Toronto, Canada
			Introduction to sieve methods IV

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	T. Browning, University of Bristol, Bristol, UK
			Counting rational points on algebraic varieties III

15:00 - 15:05	--- Break ---

15:05 - 16:05	T. Browning, University of Bristol, Bristol, UK
			Counting rational points on algebraic varieties IV

Thursday 3 May 2007

09:30 - 10:30	H. Iwaniec, Rutgers University, Piscataway, USA
			Analytic number theory without borders I

10:30 - 10:45	--- Coffee break ---

10:45 - 12:00	H. Iwaniec, Rutgers University, Piscataway, USA
			Analytic number theory without borders II

12:00 - 14:00	--- Lunch break ---

14:00 - 15:00	E. Kowalski, Universite de Bordeaux 1, Bordeaux, France
			Exponential sums over fields I

15:00 - 15:05	--- Break ---

15:05 - 16:05	E. Kowalski, Universite de Bordeaux 1, Bordeaux, France
			Exponential sums over fields II

Friday 4 May 2007

09:30 - 10:30	E. Kowalski, Universite de Bordeaux 1, Bordeaux, France
			Exponential sums over fields III

10:30 - 10:45	--- Coffee break ---

10:45 - 12:30	H. Iwaniec, Rutgers University, Piscataway, USA
			Analytic number theory without borders III

12:30 - 14:00	--- Lunch break ---

FREE AFTERNOON