NCMW  Representation Theory and Harmonic Analysis
Speakers and Syllabus
Syllabus to be covered in terms of modules of 6 lectures each:
Name of the Speakers with their affiliation. 
No. of Lectures 
Detailed Syllabus 
Simon Marshall Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL 60208, USA 
3 Hours 
Periods and restrictions of eigenfunctions on locally symmetric spaces: A brief introduction to Hecke theory for SL(2,Z), and describe the method of arithmetic amplification, which uses Hecke operators to give improved bounds for periods and L^p restrictions. 
Toshiyuki Kobayashi Graduate School of Mathematical Sciences, The University of Tokyo, 381 Komaba, Tokyo 1538914, Japan 
6 Hours 
HarishChandra’s tempered representations and geometry and HarishChandra’s admissibility theorem and beyond. 
Amos Nevo TechnionIsrael Institute of Technology, Haifa, 32000 Israel

6 Hours 
Representation theory, Harmonic analysis, and intrinsic Diophantine approximation on homogeneous varieties. The spectral approach to Diophantine approximation averaging operators in dynamical systems, unitary representations, spectral estimates, and operator norm bounds. A brief introduction to some aspects of the representation theory of semisimple algebraic groups and the integrability of their matrix coefficients. The spectral transfer principle and effective ergodic theorems. The automorphic representation associated with a lattice subgroup, and effective counting of lattice points. Best possible spectral estimates for subgroup actions. Lattice actions on homogeneous spaces and fast equidistribution of dense lattice orbits. Intrinsic Diophantine approximation on homogeneous algebraic varieties, and best possible exponent for tempered subgroups. The effective duality principle on homogeneous spaces. 
Bernhard Krötz Institute für Mathematik, Universität Paderborn, Germany

6 Hours 
Plancherel theory for real spherical spaces: HarishChandra's Plancherel formula for real reductive groups G. HarishChandra's Plancherel formula up to the formal degrees of the discrete series as well as the theorem of Delorme and van den BanSchlichtkrull for symmetric spaces. 
Jyoti Sengupta Department of Mathematics, Indian Association for the Cultivation Of Science, Kolkata 700032, India 
6 Hours 
The Fourier transform on semisimple Lie Algebras and Lie groups. Ramifications and Applications. 
Time Table
Day  Date  Lecture 1 (9.3011.00) 
Tea to 
Lecture 2 (11.301.00) 
(1.05 to 1.55) 
Lecture 3 (2.00–3.30) 
3.35 to 3.55 
Discussion (4.005.00) 
5.05 to 5.35 
(name of the speaker) 
T E A
B R E A K 
(name of the speaker) 
L U N C H
B R E A K 
(name of the speaker) 
T E A
B R E A K

(name of the speaker) 
S N A C K S 

Mon  11 Dec  TK  BK  JS  BK+TK  
Tues  12 Dec  TK  BK  JS  BK+JS  
Wed  13 Dec  TK  BK  TK  TK+JS  
Thu  14 Dec  AN  BK  AN  SM+AN  
Fri  15 Dec  AN  JS  SM  JS+SM  
Sat  16 Dec  AN  JS  SM  AN+SM 
Full forms for the abbreviations of speakers and tutors:
AN: Amos Nevo
BK: Bernhard Krötz
SM: Simon Marshall
TK: Toshiyuki Kobayashi
JS: Jyoti Sengupta