Друзья!

В этот вторник (10.03.26) на научном семинаре выступит Матвей Сергеев.

Прилагаем анонс его доклада:

On Chamber Decompositions of Hypersimplex

In toric geometry and topology, a key example is the complex projective space with the standard torus action. A natural generalization of this example is the Grassmannian G_n,2 of projective lines in complex projective space with the standard action of an n-dimensional torus. Describing the equivariant topology of this manifold is a hard problem, the solution of which requires the involvement of various combinatorial structures: graphic matroids and matroid polytopes within the hypersimplex \Delta_n,2. This talk aims to provide an overview of the combinatorial results obtained in the context of this problem, as well as their applications to the well-known Johnson graph J(n,2).


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