Alexander Popkovich
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View article: Towards a categorical analogue of Gelfand-Kazhdan Theorem
Towards a categorical analogue of Gelfand-Kazhdan Theorem Open
A celebrated theorem by Gelfand-Kazhdan states that the restriction of any cuspidal irreducible representations of $GL_n(\mathcal{K})$ over local field to the mirabolic subgroup $P$ is isomorphic to the standard irreducible representation …
View article: Beyond the Sottile–Sturmfels Degeneration of a Semi-Infinite Grassmannian
Beyond the Sottile–Sturmfels Degeneration of a Semi-Infinite Grassmannian Open
We study toric degenerations of semi-infinite Grassmannians (a.k.a. quantum Grassmannians). While the toric degenerations of the classical Grassmannians are well studied, the only known example in the semi-infinite case is due to Sottile a…
View article: Beyond the Sottile-Sturmfels degeneration of a semi-infinite\n Grassmannian
Beyond the Sottile-Sturmfels degeneration of a semi-infinite\n Grassmannian Open
We study toric degenerations of semi-infinite Grassmannians (a.k.a. quantum\nGrassmannians). While the toric degenerations of the classical Grassmannians\nare well studied, the only known example in the semi-infinite case is due to\nSottil…