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Truncated shifted Yangians and Nakajima monomial crystals

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Oded Yacobi (University of Sydney) - Oberseminar Darstellungstheorie

  • Oberseminar
When Dec 08, 2015
from 04:15 pm to 05:15 pm
Where Bonn, Raum 0.007, Mathematik-Zentrum, Endenicher Allee 60
Contact Name Sachinidis
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In geometric representation theory slices to Schubert varieties in the affine Grassmannian are affine varieties which arise naturally via the Satake correspondence. This talk centers on algebras called truncated shifted Yangians, which are quantizations of these slices. In particular, we will describe the highest weight theory of these algebras using Nakajima's monomial crystal. This leads to conjectures about categorical gL-action (Langlands dual Lie algebra) on representation categories of truncated shifted Yangians.