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# Upcoming Seminars

WednesdayApr 28, 202116:30

Algebraic Geometry and Representation Theory Seminar

Speaker:Dan CiubotaruTitle:Isolated unitary unramified representations and the Dirac inequalityAbstract:opens in new windowin html pdfopens in new windowhttps://weizmann.zoom.us/j/98304397425I will present several applications of the Dirac inequality to the determination of unitary representations of p-adic groups and associated "spectral gaps". The method works particularly well in order to attach irreducible unitary representations to the large nilpotent orbits (e.g., regular, subregular) in the Langlands dual complex Lie algebra. These results can be viewed as a p-adic analogue of Salamanca-Riba's classification of irreducible unitary (g,K)-modules with strongly regular infinitesimal character.