Skip to main content

Alexander Yom Din: On tempered representations

Time: Wed 2022-02-23 13.15 - 14.15

Location: Zoom, meeting ID: 694 6016 6420 (password required)

Lecturer: Alexander Yom Din (Hebrew University)


Given a locally compact group G, the decomposition of the space of square integrable functions on G into irreducible unitary representations of G (“irreps”) is one of the basic desires in harmonic analysis. Not all irreps appear in such a decomposition; those which do are called tempered. The decomposition has a discrete as well as a continuous parts; the irreps which appear in the discrete part are called square integrable, and are much simpler analytically than general tempered irreps. Loosely speaking, tempered irreps can be thought of as “on the verge” of being square integrable. Although this intuition is rather classical, we discuss a new possible formal interpretation of it. This is joint work with D. Kazhdan.

Note: The passcode was sent to the AG and NT mailing lists. If you're not on these lists and would like to attend, or are having trouble accessing the meeting, please email Sven Raum at . To be added to the AG mailing list, please email Jonas Bergström at . To be added to the NT mailing list, please email Wushi Goldring at .