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Web page of the course
Analysis on p-adic groups.

(Spring 2012)


Teachers: Bernhard Kroetz and Eric M. Opdam
Emails: kroetz (AT) math.uni-hannover.de and e.m.opdam (AT) uva.nl
Tel.: 020-5255166 and 020-5255205
Room numbers: C4.137 and C4.161(Science Park 904, Amsterdam).

This mastermath course (6 ECTS) will be an introduction to the structure theory of a p-adic reductive group G, and to the geometry of the building of G. Next we will discuss the categories of smooth and admissible representations of G and some of the deep analytic properties of these representations. Topics covered are: The Jacquet module, Borel's Theorem, cuspidal repesentations, the Hecke algebra, and asymptotic behaviour of matrix coefficients of admissible representations. Finally we will provide some perspective on the role of these results in the Langlands program.
Each monday afternoon we will update this course page by adding the material treated in class and the homework exercises of the week if a homework assignment was given.
Schedule: Monday, 13:00-15:00, lecture room G3.05 (Science Park 904, Amsterdam), weeks 8-20 (so first meeting is on february 20).
Homework: Homework exercises are given on a biweekly basis (they will be listed on the webpage on monday afternoon). The homework has to be handed in at latest during next week's lecture. You can also send the solutions by email. In that case, please email it to both teachers. The homework will be marked and given back during class. The average of all the homework marks will determine a bonus of at most 1 to the final mark, provided that the mark for the takehome exam is larger or equal to 5.5.
Exam: The exam will be a takehome exam. After a couple of weeks of class we will consult with you in class to determine the dates that the takehome exam will take place.
The re-exam of the course will be an oral exam with one of the teachers. In that case the homework mark will be discarded.
Week 8, february 20.
We will start in this week with the lecture notes of P. Garrett.