This research community, sponsored by AIM and the NSF, brings together researchers to develop connections between representation theory, operator algebras and noncommutative geometry.

Current Organizers:
Monica Nevins (U. of Ottawa), Angela Pasquale (U. de Lorraine), and Haluk Şengün (U. of Sheffield)

Previous Organizers:
Pierre Clare (William & Mary), Nigel Higson (PennState) and Birgit Speh (Cornell U.)

Contact: aimrtncg@gmail.com

Ongoing and Upcoming Activities

In the Winter of 2024, we'll continue our popular This is what I do series, and have a couple of tiny series of wee lectures on selected topics.  We'll also introduce a new series:  This is my thesis, where two or three students will let us spotlight on their exciting new work.

A look ahead:

• May 15:  This is What I Do, by Salah Mehdi (Lorraine):

Title: A nilpotent ramble through Dirac operators

Abstract: In 1928, the British physicist Paul Dirac revolutionized Physics by introducing a degree one differential operator with coefficients in a Clifford algebra to describe the relativistic quantum dynamics of spinning particles. Soon it turned out that the operator of Dirac had more to say! Its kernel contains precious information about representations of Lie groups, including their explicit realization, unitarity and classification. In this talk, avoiding technicalities, I will try to explain how nilpotent orbits enter into the picture and discuss some results in this context. Most of what I have been doing these past years is extensively due to the generous collaboration of Pavle Pandzic, David Vogan and Roger Zierau.

Related Events and News

• BIRS Workshop on Branching Problems for real, p-adic and adelic groups, Kelowna, Canada July 7-12, 2024.

• Thematic Programme at Institut Henri Poincaré:
  Representation Theory & Noncommutative Geometry, January - April, 2025

• The COST grant CaLISTA, which provides amongst other things, mobility grants for people in Cartan geometry, quantum groups, noncommutative geometry, and related fields to travel between two different European countries for conferences or research collaborations.

Past Activities

• Fall 23: Mini-mini-mini series: AQFT and causal symmetric spaces

• Fall 23: Mini-mini-mini series: Classification of representations of reductive p-adic groups

• January 23: In-person conference Noncommutative Geometry and Analysis on Homogeneous Spaces, William & Mary

• Fall 22: Mini-mini-mini series: Elements of the history of representation theory (1950 - 1980)

• Fall 22: Mini-mini-mini series: RTNCG before 1950

• Spring 22: Mini-mini-mini series: Proper actions and representation theory

• Winter 22: Mini-mini-mini series: Index theory

• September 21: Workshop Seminar in Representation theory

• August 21: Language school Representation theory for C*-theorists

• June 21: Language school C*-algebras for representation theorists

• June 21: Workshop Branching problems and symmetry-breaking

• Spring 21 - present: This is what I do series