In the seventies Harish-Chandra introduced the tempered representations of a semisimple real Lie group G as those that occur in the analog on G of the Fourier-Plancherel formula. Nowadays, those representations are ubiquitous.
In this talk we will recall their definition and properties and we will answer the following question:
For which connected subgroup H, does the analog on G/H of the Fourier-Plancherel formula involves only tempered representations?
Interactive session on Zoom: November 11, 2020 at 18:00 hrs Indian time
The joining links for Zoom meeting and YouTube live-stream will be emailed to registered participants.
Participants are requested to submit their questions for the speaker through the following form:
https://forms.gle/UEgotDcgxovoaRJg7
The above form will stop accepting responses on November 09, 2020 at 18:00 hrs Indian time.
This colloquium is part of the Distinguished Lecture Series (DLS) organized by The (Indian) Mathematics Consortium (TMC), and co-hosted by IIT-B and ICTS-TIFR. For more information about this lecture series, and to register, please visit the homepage of the TMC DLS.