Singularities of Affine Schubert Varieties by Jochen Kuttler, Venkatramani Lakshmibai

Subjects: “…Schubert varieties…”
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$q$-Rationals and Finite Schubert Varieties by Ovenhouse, Nicholas

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Combinatorics in Schubert varieties and Specht modules by Yoo, Hwanchul

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Which Schubert varieties are local complete intersections? by Henning Úlfarsson, Alexander Woo

Subjects: “…schubert varieties…”
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Schubert varieties, inversion arrangements, and Peterson translation by William Slofstra

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Staircase diagrams and the enumeration of smooth Schubert varieties by Edward Richmond, William Slofstra

“…In this extended abstract, we give a complete description and enumeration of smooth and rationally smooth Schubert varieties in finite type. In particular, we show that rationally smooth Schubert varieties are in bijection with a new combinatorial data structure called staircase diagrams.…”
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Specht modules and Schubert varieties for general diagrams by Liu, Ricky Ini

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An algorithm for computing Schubert varieties of best fit with applications by Karim Karimov, Michael Kirby, Chris Peterson

Subjects: “…Schubert variety of best fit…”
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Beilinson–Drinfeld Schubert varieties and global Demazure modules by Ilya Dumanski, Evgeny Feigin, Michael Finkelberg

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Rational smoothness and affine Schubert varieties of type A by Sara Billey, Andrew Crites

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Frobenius splitting of Schubert varieties of semi-infinite flag manifolds by Syu Kato

“…We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch. …”
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Toric matrix Schubert varieties and root polytopes (extended abstract) by Laura Escobar, Karola Mészáros

“…Start with a permutation matrix π and consider all matrices that can be obtained from π by taking downward row operations and rightward column operations; the closure of this set gives the matrix Schubert variety Xπ. We characterize when the ideal defining Xπ is toric (with respect to a 2n − 1-dimensional torus) and study the associated polytope of its projectivization. …”
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An inequality of Kostka numbers and Galois groups of Schubert problems by Christopher J. Brooks, Abraham Martín Campo, Frank Sottile

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Permutations with Kazhdan-Lusztig polynomial $ P_id,w(q)=1+q^h$ by Alexander Woo

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Interval positroid varieties and a deformation of the ring of symmetric functions by Allen Knutson, Mathias Lederer

Subjects: “…schubert varieties…”
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The Prism tableau model for Schubert polynomials by Anna Weigandt, Alexander Yong

“…Our arguments are developed from the Gr¨obner geometry of matrix Schubert varieties.…”
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A noncommutative geometric LR rule by Edward Richmond, Vasu Tewari, Stephanie Van Willigenburg

“…The geometric Littlewood-Richardson (LR) rule is a combinatorial algorithm for computing LR coefficients derived from degenerating the Richardson variety into a union of Schubert varieties in the Grassmannian. Such rules were first given by Vakil and later generalized by Coskun. …”
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Kazhdan-Lusztig polynomials of boolean elements by Pietro Mongelli

“…As an application of the formulas, we compute the intersection homology Poincaré polynomials of the Schubert varieties of boolean elements.…”
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Total positivity for the Lagrangian Grassmannian by Rachel Karpman

“…There are a number of interesting combinatorial posets which index positroid varieties,just as Young diagrams index Schubert varieties. In addition, Postnikov’s boundary measurement map gives a family of parametrizations for each positroid variety. …”
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Grassmanniennes affines tordues sur les entiers by João Lourenço

“…We study their affine Grassmannians, proving normality of Schubert varieties and Zhu’s coherence theorem.…”
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