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From graded quiver varieties to quantum cluster algebras and quantum groups
【2013.3.19 2:30pm,C410】

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 2013-3-18 

  Colloquia & Seminars 

  Speaker

  覃帆,清华大学数学科学中心

  Title

  From graded quiver varieties to quantum cluster algebras and quantum groups

  Time

  2013.3.19 2:30pm        

  Venue

  C410

  Abstract

  Inspired by a previous work of Nakajima, we consider perverse sheaves over acyclic graded quiver varieties and study the Fourier-Sato-Deligne transform from a representation theoretic point of view. We obtain that all quantum cluster monomials in our setting belong to the dual canonical basis of the corresponding quantum unipotent subgroup. This talk is based on a joint work with Yoshiyuki Kimura.

  Affiliation

   

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