Dear Believers in Hamiltonian Systems,
The next talk at our seminar by Boris Bychkov, HSE Moscow "Electrical networks and Lagrangian Grassmannians" is this coming Tuesday, April 5, 2022 at 12PM EST (7pm in Moscow, 6pm in Europe, 12noon in Toronto, 9am in Tucson and LA).
Zoom at
https://utoronto.zoom.us/j/99576627828Passcode: 448487
Abstract: Electrical network is a graph in a disk with inner and outer sets of vertices and positive weight on each edge which means conductance. The (compactified) space E_n of electrical networks embeds into the totally nonnegative Grassmannian Gr_≥0(n-1,2n). I will talk about a new parametrization of E_n which defines an embedding into the Grassmannian Gr(n-1,V), where V is a certain subspace of dimension 2n-2 and moreover into the nonnegative Lagrangian Grassmannian LG_≥0(n-1)?Gr(n-1,V). The latter allows us to connect the combinatorics of E_n to the representation theory of the symplectic group. The talk
is based on the joint work with V. Gorbounov, A. Kazakov and D. Talalaev.
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