Chebyshev, a heir of Euler

• Athanase Papadopoulos (Université de Strasbourg)

It is usual to oppose the mathematical school founded in Saint Petersburg by Pafnuty Lvovich Chebyshev and that of Leonhard Euler. In this talk, I will on the contrary stress on the similarities between the works of the two mathematicians. At the same time, this will give us the occasion to review some of the major achievements of both men and to establish links between their works.

Cartography and mathematics of Chebyshev

• Nikita Kalinin (Saint-Petersburg State University)

This is a lectures for general audience. Consider a part of a surface (a sphere for example). How to draw a planar map of this surface such that all the angles between curves on this surface would be preserved and the variation of the scale across the map would be minimal? I explain how this is related to conformal maps and explain a proof of Chebyshev’s theorem about such a map in the case of a sphere.

TBA

• Alisa Sedunova (Saint-Petersburg State University)

TBA

Fourier, Chebyshev, and Chebfun

• NIck Trefethen (University of Oxford)

Mathematically, Fourier series (for even periodic functions) and Chebyshev series (for nonperiodic functions) are equivalent. (Did Chebyshev recognize this?) This talk will showcase with Chebfun the extraordinary computational power of Chebyshev polynomials.

TBA

• Dmitriy Zaporozhets (Saint Petersburg State University and PDMI RAS)

TBA