The PhD defence will be in Abels utsikt - Niels Henrik Abels hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.
Trial lecture
June 5th, time: 10:15 am, auditorium 4, Vilhelm Bjerknes hus.
Cohomology for Banach algebras and its relation to amenability
Join the trial lecture by zoom.
Main research findings
Analytic properties of locally compact groups, such as amenability and Kazhdan-type rigidity, offer deep insights into the structure and behavior of groups. It is well known that these properties are intimately connected with the isometric representation theory. The primary focus of this thesis is to study amenability and Kazhdan-type rigidity via representations by surjective isometries on Lp-spaces and via pseudofunction algebras generated from classes of such representations.
The thesis is a collection of four papers. Topics covered include Lp-integrability of representations induced from open subgroups, Kazhdan-type rigidity for Banach algebras in general and pseudofunction algebras in particular, equivalent definitions of property (TLp) for discrete groups, and characterizations of amenability related to the symmetrized p-pseudofunction algebra.
Adjudication committee
- Dr. Matthew Daws, Lancaster University
- Associate Professor Eusebio Gardella, Chalmers University of Technology and University of Göteborg
- Associate Professor Makoto Yamashita, University of Oslo
Supervisors
- Professor Nadia Larsen, University of Oslo
- CNRS senior researcher Mikael de la Salle, Université Claude Bernard Lyon 1
Chair of defence
Head of Department Erlend Fornæss Wold.
Host of the session
Associate Professor Makoto Yamashita, University of Oslo