Speaker:  Boris Bychkov (Higher School of Economics, Yaroslavl State University)

Date and time:  10.11.2021, 17:00 (GMT +03:00)

Title: Electrical networks and Lagrangian Grassmannians

Abstract:  Electircal network is a graph in a disk with positive weights on edges. The (compactified) space $E_n$ of electrical networks embeds into the totally nonnegative Grassmannian $\mathrm{Gr}{\geq 0}(n-1,2n)$. I will talk about the new parametrisation of $E_n$ which defines an embedding into the Grassmannian $\mathrm{Gr}(n-1,V)$, where $V$ is a certain subspace of dimension $2n-2$ and moreover into the nonnegative Lagrangian Grassmannian $\mathrm{LG}{\geq 0}(n-1)\subset\mathrm{Gr}(n-1,V).$

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com