SMS scnews item created by Anthony Henderson at Mon 6 Aug 2007 1317
Type: Seminar
Distribution: World
Expiry: 10 Aug 2007
Calendar1: 10 Aug 2007 1205-1255
CalLoc1: Carslaw 373
CalTitle1: Algebra Seminar: Chervov -- Quantum integrable systems and the Langlands correspondence
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Quantum integrable systems and the Langlands correspondence

Alexander Chervov

10th August, 12:05-12:55pm, Carslaw 373 ***NB: back in the old room***


Abstract

After a brief introduction to integrable systems and their quantization, we will present a construction of the "quantum spectral curve" which originates from the work of D. Talalaev. Spectral curves play an essential role in classical integrable systems. We will show that "quantum spectral curves" play the same key role in quantum integrable systems. In particular, they allow to construct quantum commuting Hamiltonians explicitly and to find their spectra and eigenfunctions of the respective quantum model. Moreover, the quantum spectral curves provide explicit and simple construction of the geometric Langlands correspondence and they have many other applications in representation theory.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

Anthony Henderson anthonyh@maths.usyd.edu.au.



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