Szanowni Państwo

Zapraszamy pracowników i studentów na posiedzenie seminarium "Geometria i układy dynamiczne", które odbędzie się w czwartek 28 lipca o godzinie 13:15 w sali A1/6

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Speaker: Prof. Marco Bertola (Concordia University, Montreal and SISSA, Trieste)

Title: Padé approximations on Riemann Surfaces and applications

Abstract: I will introduce different notions of (bi)orthogonality for a pairing associated to a measure on a contour in a Riemann surface and show how they are naturally related to suitable Pad ́e approximation problems thus generalizing the ordinary orthogonal polynomials. These objects can be framed in the context of a Riemann—Hilbert problem on Riemann surfaces, i.e. a vector bundle of degree 2g. This formulation is, in fact, of practical applications in at least three contexts:

—) application of steepest descent methods, 

—) construction of matrix orthogonal polynomials,

—) constructions of KP/2 Toda tau functions that generalize Krichever’s construction. 

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Serdecznie zapraszamy

Aleksander Denisiuk, Adam Doliwa, Andriy Panasyuk, Vsevolod Shevchishin, Artur Siemaszko