Paul D. Nelson: Katalogdaten im Frühjahrssemester 2019

NameHerr Dr. Paul D. Nelson
URLhttp://www.math.ethz.ch/~nelsonpa
DepartementMathematik
BeziehungAssistenzprofessor

NummerTitelECTSUmfangDozierende
401-3226-01LRepresentation Theory of Lie Groups Information 8 KP4GP. D. Nelson
KurzbeschreibungThis course will contain two parts:
* Introduction to unitary representations of Lie groups
* Introduction to the study of discrete subgroups of Lie groups and some applications.
LernzielThe goal is to acquire familiarity with the basic formalism and results concerning unitary representations of Lie groups, and to apply these to the study of discrete subgroups, especially lattices, in Lie groups.
Inhalt* 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 / BesonderesDifferential geometry, Functional analysis, Introduction to Lie Groups (or equivalent).
401-5110-00LNumber Theory Seminar Information 0 KP1KÖ. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz
KurzbeschreibungForschungskolloquium
LernzielVorträge über neue Themen aus der Forschung.
InhaltForschungsseminar in Algebra, Zahlentheorie und Geometrie, richtet sich insbesondere an Mitarbeiterinnen und Mitarbeiter sowie Doktorandinnen und Doktoranden.