Public Thesis Defense of Max Carter - IRMP

Harmonic Analysis on Totally Disconnected Locally Compact Groups by Max Carter -

Jeudi 10 septembre 2026 à 16h00 - Auditoire BARB92 - Place Sainte Barbe, 1 - 1348 Louvain-la-Neuve -

The harmonic analysis of locally compact groups has been studied for over 100 years, and has been investigated deeply, particularly in the settings of abelian groups, compact groups, and connected Lie groups. While many harmonic analysis properties are well understood for these classes of groups, in contrast, our understanding of them remains significantly underdeveloped in the setting of totally disconnected locally compact (tdlc) groups. 
 
This thesis studies harmonic analysis properties coming from unitary representation theory (e.g. the type I and CCR properties), and from Banach algebra theory (e.g. the Wiener, Hermitian and *-regular properties), for many classes of tdlc groups.  The following questions underpin the work carried out in this thesis:

Do the established results regarding these properties for connected Lie groups have direct analogues for tdlc groups?
How does the dichotomy between amenable and non-amenable groups influence these properties in the tdlc setting ?

Jury members :

Prof. Pierre-Emmanuel Caprace (UCLouvain) (Supervisor)
Prof. Timothée Marquis (UCLouvain) (Supervisor)
Prof. Augusto Ponce (UCLouvain) (Chairperson)
Prof. Pedro Vaz (UCLouvain) (Secretary)
Prof. Pierre Bieliavsky (UCLouvain) 
Prof. Yemon Choi (University of Lancaster) (External examiner)
Prof. Tom de Medts (University of Gent) (External examiner)
Prof. Sven Raum (Universität Potsdam) (External examiner)

Pay attention : the public defense of Max Carter will also take place in the form of a videoconference