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Manfred Einsiedler: Katalogdaten im Frühjahrssemester 2016

NameHerr Prof. Dr. Manfred Einsiedler
LehrgebietMathematik
Adresse
Professur für Mathematik
ETH Zürich, HG G 64.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
Auszeichnung: Die Goldene Eule
Telefon+41 44 632 31 84
E-Mailmanfred.einsiedler@math.ethz.ch
URLhttp://www.math.ethz.ch/~einsiedl
DepartementMathematik
BeziehungOrdentlicher Professor

NummerTitelECTSUmfangDozierende
401-3226-01LUnitary Representations of Lie Groups and Discrete Subgroups of Lie Groups8 KP4GM. Einsiedler
KurzbeschreibungThis course will contain three parts:
* Classification of simple Lie algebras
* Introduction to unitary representations of Lie groups
* Introduction to the study of discrete subgroups of Lie groups, the quotient space, and some applications.
LernzielThe goal is to acquire familiarity with the basic formalism and results concerning Lie groups and their unitary representations, and to apply these to the study of discrete subgroups, especially lattices, in Lie groups.
Inhalt* Classification using Dynkin diagrams
* Unitary representations of compact Lie groups: Peter-Weyl theory, weights, Weyl character formula
* Introduction to unitary representations of non-compact Lie groups: the examples of SL(2,R), SL(2,C)
* Example: Property (T) for SL(n,R)
* Discrete subgroups of Lie groups: examples and some applications
LiteraturBekka, de la Harpe and Valette: "Kazhdan's Property (T)", Cambridge University Press.
Voraussetzungen / BesonderesFunctional analysis I and
Lie Groups I or Differential geometry I.
401-5530-00LGeometry Seminar Information 0 KP1KM. Burger, M. Einsiedler, A. Iozzi, U. Lang, V. Schroeder, A. Sisto
KurzbeschreibungForschungskolloquium
Lernziel