University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Generalized Macdonald-Ruijsenaars systems and Double Affine Hecke Algebras

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Generalized Macdonald-Ruijsenaars systems and Double Affine Hecke Algebras

Download to your calendar using vCal

If you have a question about this talk, please contact Mustapha Amrani .

Discrete Integrable Systems

The Double Affine Hecke Algebra (DAHA) is defined by a root system, its basis and by some parameters. The Macdonald-Ruijsenaars systems are known to be obtained from the polynomial representations of DAH As. We consider submodules in the polynomial representations of DAH As consisting of functions vanishing on special intersections of shifted mirrors. We derive the generalized Macdonald-Ruijsenaars systems by considering the Dunkl-Cherednik operators acting in the quotient-modules. In the A_n case this recovers Sergeev-Veselov systems, and the corresponding ideals were studied by Kasatani. This is a joint work with M. Feigin.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Lecturers' Common Room, Raised Faculty Building, Sidgwick Site School of Clinical Medicine Talks Mong Hall, Sidney Sussex College

Other talks

Talk TBC Title TBC Grand Rounds - Equine Quantifying the unquantifiable? Assessing the importance of almsgiving in early modern France and Spain RNA-Mediated Regulation of Germinal Centre B-Cell Fitness: a tale of two DEAD-box RNA helicases Title to be confirmed
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity