Selberg's Trace Formula in operator K-theory

Haluk Sengun (University of Sheffield)

22-Jul-2020, 19:00-20:00 (4 years ago)

Abstract: Selberg introduced his celebrated trace formula in 1956. Since then, the trace formula has become an indispensable tool in number theory, with spectacular applications to the Langlands program. After an exposition of the trace formula, I will present an identity in the setting of K-theory of group C*-algebras that is an analogue of the trace formula. Time remaining, I will exhibit how one can derive the index theoretic version of the trace formula (due to Barbasch and Moscovici) from our identity via the theory of higher indices.

This is joint work with Bram Mesland (Leiden) and Hang Wang (Shanghai).

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( video )


Noncommutative Geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click sju.webex.com/meet/nikolaei (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.

Organizers: Alexander A. Katz, Igor V. Nikolaev*
*contact for this listing

Export talk to