11-16 December 2023
St. Petersburg University, MCS faculty
Europe/Moscow timezone

Soft Riemann--Hilbert problems and planar orthogonal polynomials

14 Dec 2023, 12:20
50m
St. Petersburg University, MCS faculty

St. Petersburg University, MCS faculty

Russia, 199178, St. Petersburg, 14 line V.O., 29B, https://math-cs.spbu.ru/en/ Rooms 201, 217b ZOOM streaming at: https://us02web.zoom.us/j/675315555?pwd=aEVYbHZWL2F0aE9PUXVYUjB4a21ydz09

Speaker

Håkan Hedenmalm (Royal Institute of Technology and Saint-Petersburg state university)

Description

Recent advances on planar orthogonal polynomials with respect to exponentially varying weights become much easier to work with if we introduce the concept of ``soft'' Riemann--Hilbert problems. These are actually $\overline{\partial}$-problems but the underlying thinking in terms of jump problems helps a lot. The method applies also in the hard edge case where our work with A. Wennman gives a far-reaching generalization of Carleman’s theorem from 1921.

Primary author

Håkan Hedenmalm (Royal Institute of Technology and Saint-Petersburg state university)

Presentation Materials

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