The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on April 20, 2021 at 14:00 via ZOOM. A talk on:

Viskovatov algorithm for Hermite-Padé polynomials

will be delivered by Nikolay Ikonomov.

Everybody is invited.

Abstract. We will discuss the problem of characterizing geometric objects in the space by their invariants. For minimal surfaces the problem was solved in the works of Ganchev. On the other hand, Ganchev and Mihova considered the question in some more general cases. We propose a solution in the general case, and we characterize a surface by two invariant functions, subject of a differential equation. We remind about the classical algorithm of Viskovatov, which can be applied to one power series, and is used to compute classical Padé approximant. We need alternative computation of classical Hermite-Padé approximant (two power series), and we have already computed it by matrix method. We propose this new extension of the Viskovatov algorithm for much faster computation of Hermite-Padé approximant, and we compare with the matrix method.

The talk is based on https://arxiv.org/abs/2007.03370.
This is a joint work with Sergey Suetin, MIAN-RAS.

https://us02web.zoom.us/j/81944239258?pwd=U3ZwRnp5c1FlSWVLazR6bVdsRHpBZz09
Meeting ID: 819 4423 9258
Passcode: 981532