Summer School and Conference on Automorphic Forms and Shimura Varieties (9 - 27 July 2007)
Shimura_Varieties
smr1852 at ictp.it
Wed Jul 4 11:19:56 CEST 2007
the Abdus Salam International Centre for Theoretical Physics
Summer School and Conference on Automorphic Forms and Shimura Varieties
Trieste - Italy, 09 - 27 July 2007
Directors: L. Fargues, B.C. Ngo and D. Prasad
ICTP Local organizer: R. Ramakrishnan
Venue: Adriatico Guest House, Kastler Lecture Hall (9-13 July);
afterwards Main Building, Main Lecture Hall
Preliminary programme
Adriatico Guest House, Kastler Lecture Hall
Monday 09 July 2007
08:30 - 10:30 REGISTRATION AND ADMINISTRATIVE FORMALITIES (Adriatico
Guest House, Lower Level 1)
10:30 - 10:45 K.R. Sreenivasan, ICTP Director, Trieste, Italy
Opening address
10:45 - 11:45 D. Prasad, TIFR, Mumbai, India/IAS, Princeton, USA
Harmonic analysis on the adeles - Tate's thesis
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 A. Nair, TIFR, Mumbai, India
Automorphic forms on GL(2)
15:15 - 16:15 G. Henniart, Université de Paris-Sud, Orsay, France
Local representation theory
16:30 - 17:30 T.N. Venkataramana, TIFR, Mumbai, India
Introduction to algebraic groups (Tutorial)
Tuesday 10 July 2007
09:30 - 10:30 D. Prasad, TIFR, Mumbai, India/IAS, Princeton, USA
Harmonic analysis on the adeles - Tate's thesis
10:30 - 10:45 --- break ---
10:45 - 11:45 A. Nair, TIFR, Mumbai, India
Automorphic forms on GL(2)
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 G. Henniart, Université de Paris-Sud, Orsay, France
Local representation theory
15:00 - 15:30 --- break ---
15:30 - 16:30 D. Prasad, TIFR, Mumbai, India/IAS, Princeton, USA
Introduction to class field theory (Tutorial)
18:30 - 18:30 --- RECEPTION ---
Wednesday 11 July 2007
09:30 - 10:30 D. Prasad, TIFR, Mumbai, India/IAS, Princeton, USA
Harmonic analysis on the adeles - Tate's thesis
10:30 - 10:45 --- break ---
10:45 - 11:45 A. Nair, TIFR, Mumbai, India
Automorphic forms on GL(2)
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 G. Henniart, Université de Paris-Sud, Orsay, France
Local representation theory
15:00 - 15:30 --- break ---
15:30 - 16:30 B.-C. Ngo, Université de Paris-Sud, Orsay, France
Introduction to function fields (Tutorial)
Thursday 12 July 2007
09:30 - 10:30 B.-C. Ngo, Université de Paris-Sud, Orsay, France
The Langlands correspondence over function fields
10:30 - 10:45 --- break ---
10:45 - 11:45 C.S. Rajan, TIFR, Mumbai, India
Introduction to L-functions (Survey)
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 G. Henniart, Université de Paris-Sud, Orsay, France
Local representation theory
15:00 - 15:30 --- break ---
15:30 - 16:30 C.S. Rajan, TIFR, Mumbai, India
Analytic theory of L-functions
Friday 13 July 2007
09:30 - 10:30 B.-C. Ngo, Université de Paris-Sud, Orsay, France
The Langlands correspondence over function fields
10:30 - 10:45 --- break ---
10:45 - 11:45 C.S. Rajan, TIFR, Mumbai, India
Analytic theory of L-functions
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 J.S. Edixhoven, Leiden University, Leiden, The Netherlands
Introduction to modular curves (Survey)
15:00 - 15:30 --- break ---
15:30 - 16:30 T.N. Venkataramana, TIFR, Mumbai, India
Cohomological preliminaries (Tutotrial)
VENUE: Main Lecture Hall (ICTP Main Building)
Monday 16 July 2007
09:30 - 10:30 B.-C. Ngo, Université de Paris-Sud, Orsay, France
The Langlands correspondence over function fields
10:30 - 10:45 --- break ---
10:45 - 11:45 C.S. Rajan, TIFR, Mumbai, India
Analytic theory of L-functions
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 J.S. Edixhoven, Leiden University, Leiden, The Netherlands
Modular curves
15:00 - 15:30 --- break ---
15:30 - 16:30 P.-H. Chaudouard, Université de Paris-Sud, Orsay, France
Introduction to trace formula (Survey)
Tuesaday 17 July 2007
09:30 - 10:30 P.-H. Chaudouard, CNRS/Université de Paris-Sud, Orsay,
France
Introduction to the trace formula
10:30 - 10:45 --- break ---
10:45 - 11:45 T.N. Venkataramana, TIFR, Mumbai, India
Cohomology of Shimura varieties
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 J.S. Edixhoven, Leiden University, Leiden, The Netherlands
Modular curves
15:00 - 15:30 --- break ---
15:30 - 16:30 D. Jiang, University of Minnesota, Minneapolis, USA
Langlands functoriality (Survey)
Wednesday 18 July 2007
09:30 - 10:30 P.-H. Chaudouard, CNRS/Université de Paris-Sud, Orsay,
France
Introduction to the trace formula
10:30 - 10:45 --- break ---
10:45 - 11:45 T.N. Venkataramana, TIFR, Mumbai, India
Cohomology of Shimura varieties
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 J.S. Edixhoven, Leiden University, Leiden, The Netherlands
Modular curves
15:00 - 15:30 --- break ---
15:30 - 16:30 L. Fargues, Université de Paris-Sud, Orsay, France
Points on Shimura varieties
Thursday 19 July 2007
09:30 - 10:30 P.-H. Chaudouard, CNRS/Université de Paris-Sud, Orsay,
France
Introduction to the trace formula
10:30 - 10:45 --- break ---
10:45 - 11:45 T.N. Venkataramana, TIFR, Mumbai, India
Cohomology of Shimura varieties
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 C.F. Yu, Academia Sinica, Taiwan, China
Leaves on Shimura varieties
15:00 - 15:30 --- break ---
15:30 - 16:30 L. Fargues, Université de Paris-Sud, Orsay, France
Points on Shimura varieties
Friday 20 July 2007
09:30 - 10:30 L. Fargues, Université de Paris-Sud, Orsay, France
Points on Shimura varieties
10:30 - 10:45 --- break ---
10:45 - 11:45 D. Jiang, University of Minnesota, Minneapolis, USA
On Langlands functoriality: constructive method
11:45 - 14:00 --- Lunch break ---
14:00 - 15:00 C.F. Yu, Academia Sinica, Taiwan, China
Leaves on Shimura varieties
15:00 - 15:30 --- break ---
15:30 - 16:30 D. Jiang, University of Minnesota, Minneapolis, USA
On Langlands functoriality: constructive method
CONFERENCE (Main Lecture Hall, ICTP Main Building)
Monday 23 July 2007
09:30 - 10:30 D. Jiang, University of Minnesota, Minneapolis, USA
Shalika models and functoriality
10:30 - 11:00 --- Coffee break ---
11:00 - 12:00 T.N. Venkataramana, TIFR, Mumbai, India
TBA
12:00 - 14:00 --- Lunch break ---
14:00 - 15:00 S. Wang, AMSS-CAS, Beijing, China
Local and global conjugacy in reductive groups
15:00 - 15:15 --- break ---
15:15 - 16:15 D. Whitehouse, Institute for Advanced Study, Princeton,
USA
Applications of the relative trace formula to central L-values
16:15 - 16:30 --- break ---
16:30 - 17:30 P.-H. Chaudouard, CNRS/Université de Paris-Sud, Orsay,
France
TBA
Tuesday 24 July 2007
09:30 - 10:30 W. Luo, Ohio State University, Columbus, USA
An equidistribution result on the Siegel modular varieties
10:30 - 11:00 --- Coffee break ---
11:00 - 12:00 S. Morel, Institute for Advanced Study, Princeton, USA
L-function of the intersection complex on certain unitary Shimura
varieties
12:00 - 14:00 --- Lunch break ---
14:00 - 15:00 G. Henniart, Université de Paris-Sud, Orsay, France
On mod. p representations of reductive p-adic groups
15:00 - 15:15 --- break ---
15:15 - 16:15 A. Pal, Imperial College, London, UK
p-adic Langlands in characteristic p
16:15 - 16:30 --- break ---
16:30 - 17:30 M. Bertolini, Unversity of Milano, Milano, Italy
TBA
Wednesday 25 July 2007
09:30 - 10:30 E. Mantovan, Caltech, Pasadena, USA
Toroidal compactifications of Shimura varieties of PEL type
10:30 - 11:00 --- Coffee break ---
11:00 - 12:00 M. Harris, Université Paris 7, Paris, France
TBA
12:00 - 14:00 --- Lunch break ---
--- FREE AFTERNOON ---
Thursday 26 July 2007
09:30 - 10:30 M. Strauch, University of Cambridge, Cambridge, UK
On the ramification in the Lubin-Tate tower
10:30 - 11:00 --- Coffee break ---
11:00 - 12:00 E. Viehmann, University of Bonn, Bonn, Germany
The global structure of Rapoport-Zink spaces
12:00 - 14:00 --- Lunch break ---
14:00 - 15:00 C.F. Yu, Academia Sinica, Taiwan, China
On Kottwitz-Rapoport strata and Deligne-Lusztig varieties
15:00 - 15:15 --- break ---
15:15 - 16:15 U.K. Anandavardhanan, Indian Institute of Technology,
Mumbai, India
Root numbers of Asai-L-functions
16:15 - 16:30 --- break ---
16:30 - 17:30 A. Nair, TIFR, Mumbai, India
On the Grothendieck motive of a Shimura variety
Friday 27 July 2007
09:30 - 10:30 U. Goertz, University of Bonn, Bonn, Germany
Affine Deligne-Lusztig varieties in the Iwahori case
10:30 - 11:00 --- Coffee break ---
11:00 - 12:00 C.S. Rajan, TIFR, Mumbai, India
On spectrum and arithmetic
12:00 - 14:00 --- Lunch break ---
14:00 - 15:00 R. Raghunathan, Indian Institute of Technology, Mumbai,
India
TBA
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