3 problems

Let $\operatorname{Gr}_\mathbb{C}(\lfloor n/2 \rfloor,\mathbb{R}^n)$ denote the complexified Grassmannian in the symmetric-matrix model, let $\operatorname{Sym}^2(\mathbb{C}^n)$ be…

For $v,w\in S_n$, let ${\mathcal N}_{v,w}$ be the affine Schubert patch at $e_v\in X_w$, and let ${\mathcal N}_{v,w}'$ be a Gröbner limit obtained from one of the term orders…

Let $v,w\in S_n$, let $I_{v,w}$ be the associated Kazhdan–Lusztig ideal, and let $\prec_{v,w,\pi}$ be one of the term orders determined by a generalized antidiagonal permutation…