• Corpus ID: 235253867

Comparing two perfect bases

  title={Comparing two perfect bases},
  author={Anne Dranowski},
Comparing two perfect bases Anne Dranowski Doctor of Philosophy Graduate Department of Mathematics University of Toronto 2020 We study a class of varieties which generalize the classical orbital varieties of Joseph. We show that our generalized orbital varieties are the irreducible components of a Mirković–Vybornov slice to a nilpotent orbit, and can be labeled by semistandard Young tableaux. Furthermore, we prove that Mirković–Vilonen cycles are obtained by applying the Mirković– Vybornov… 
Computing fusion products of MV cycles using the Mirkovic-Vybornov isomorphism
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We establish and develop a correspondence between certain crystal bases (Kashiwara crystals) and the Coulomb branch of three-dimensional 𝒩 = 4 gauge theories. The result holds for simply-laced,
Cluster Structure for Mirković-Vilonen Cycles and Polytopes by Yuguang ( Roger )
  • Mathematics
  • 2021
Cluster Structure for Mirković-Vilonen Cycles and Polytopes Yuguang (Roger) Bai Doctor of Philosophy Graduate Department of Mathematics University of Toronto 2021


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