Language Schools

These series of expository lectures will survey fundamental tools and methods in operator algebras and representation theory.


Representation Theory for C*-Theorists
Summer 2021


Erik P. van den Ban (Utrecht U.)
Jan Frahm (Aarhus U.)
David Vogan (MIT)


8/16D. VoganWhat the Langlands classification tells you, and a little about why it's true Recording
8/18D. VoganHow unitary representations sit in the Langlands classification, and $K$-theory for $G$-representations RecordingSlides
8/23J. FrahmThe Plancherel formula for real reductive groups: Examples RecordingSlides
8/25J. FrahmThe Plancherel formula for real reductive groups: The general case RecordingSlides
8/30E. van den BanThe Plancherel formulas for reductive groups, symmetric spaces and Whittaker functions I. Distribution vectors and Fourier transform RecordingSlides
9/01E. van den BanThe Plancherel formulas for reductive groups, symmetric spaces and Whittaker functions II. A common strategy of proof RecordingSlides

C*-Algebras for Representation Theorists
Spring 2021


Tyrone Crisp (U. of Maine)
Siegfried Echterhoff (U. of Münster)
Peter Hochs (Radboud U.)


5/21S. EchterhoffA quick introduction to C*-algebrasRecordingSlides
5/24P. HochsHilbert C*-modulesRecordingSlides
5/31S. EchterhoffThe Mackey-Rieffel-Green machineRecordingSlides
6/07T. CrispC*-algebras of reductive groups, IRecording
6/14T. CrispC*-algebras of reductive groups, IIRecordingSlides
6/18P. HochsK-theory of C*-algebrasRecordingSlides