论文标题

关于旗品品种的共同体的模仿量子coavity

On the equivariant log-concavity for the cohomology of the flag varieties

论文作者

Gui, Tao

论文摘要

我们研究了$ s_n $ equivariant flag品种的共同体,也称为$ s_n $的共同环。利用表示理论稳定性,我们在低度和高度的高度和高度的猜测中提供了计算机辅助的证据。此外,我们做出了一个更强的单峰猜想,这意味着模糊的对数洞穴。

We study the $S_n$-equivariant log-concavity of the cohomology of flag varieties, also known as the coinvariant ring of $S_n$. Using the theory of representation stability, we give computer-assisted proofs of the equivariant log-concavity in low degrees and high degrees and conjecture that it holds for all degrees. Furthermore, we make a stronger unimodal conjecture which implies the equivariant log-concavity.

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