Geometric lifting of the canonical basis and semitoric degenerations of Richardson varieties

由旗簇上的簇结构产生的 Richardson 簇的半环面退化

Semi-toric degenerations of Richardson varieties arising from cluster structures on flag varieties

本文证明旗簇上由簇结构产生的环面退化可诱导 Richardson 簇的半环面退化，并将其作为 Morier-Genoud 与 Kogan-Miller 相关构造的推广。

C型Richardson边界与奇维射影空间的Newton-Okounkov退化

Type C Richardson Boundaries and Newton-Okounkov Degenerations of Odd-Dimensional Projective Space

该研究对比奇维射影空间的两种镜像理论退化图景，计算C型边界与对应Laurent多项式，构造Newton–Okounkov体并验证半群等同性，还给出连接两类边界的秩一权退化。

Following Schubert varieties under Feigin's degeneration of the flag variety

We describe the effect of Feigin's flat degeneration of the type $\textrm{A}$ flag variety on its Schubert varieties. In particular, we study when they stay irreducible and in several cases we are able to encode reducibility of the degenerations in terms of symmetric group combinatorics. As a side result, we obtain an identification of some Schubert varieties with Richardson varieties in higher rank partial flag varieties.

全排列多面体的HHMP分解与旗流形中环面轨道的退化

The HHMP decomposition of the permutohedron and degenerations of torus orbits in flag varieties

本文在全旗流形中构造了一般环面轨道闭包到Richardson簇的显式环面退化，使其矩映射像与HHMP分解一致，从而为Anderson-Tymoczko公式提供了新证明。