62 citations · 348 across the 73 of their papers we have counts for
12 papers · 1 filter
Schubert geometry and combinatorics
Alexander Woo, Alexander Yong
This chapter combines an introduction and research survey about Schubert varieties. The theme is to combinatorially classify their singularities using a family of polynomial ideals…
Newell-Littlewood numbers III: eigencones and GIT-semigroups
Shiliang Gao, Gidon Orelowitz, Nicolas Ressayre +1
The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for the classical groups in the stable range. Littlewood-Richardson coefficients form a special case…
K-orbit closures and Barbasch-Evens-Magyar varieties
Laura Escobar, Benjamin J. Wyser, Alexander Yong
We define the Barbasch-Evens-Magyar varieties. We show they are isomorphic to the smooth varieties defined in [D.~Barbasch-S.~Evens '94] that map generically finitely to symmetric…
Governing singularities of symmetric orbit closures
Alexander Woo, Benjamin Wyser, Alexander Yong
We develop interval pattern avoidance and Mars-Springer ideals to study singularities of symmetric orbit closures in a flag variety. This paper focuses on the case of the Levi subg…
Singularities of Richardson varieties
Allen Knutson, Alexander Woo, Alexander Yong
We give a short proof that essentially all questions concerning singularities of Richardson varieties reduce to corresponding questions about Schubert varieties. Consequently, we q…
Patch ideals and Peterson varieties
Erik Insko, Alexander Yong
Patch ideals encode neighbourhoods of a variety in GL_n/B. For Peterson varieties we determine generators for these ideals and show they are complete intersections, and thus Cohen-…