The life and legacy of P.L. Chebyshev: in honor of his 200th anniversary

Sunday 16 May 2021, 15:00 → 20:00 Europe/Moscow

Online

The life and legacy of P.L. Chebyshev: in honor of his 200th anniversary

May 16, 2021

To put it short — Pafnutiy Lvovich Chebyshev is our everything in math, he is not unlike Pushkin in that regard. In addition to being a famous mathematician with major achievements in probability, mechanics, number theory, analysis, and many other fields, he is also viewed as the father of Russian mathematics — a progenitor of an  unbroken line of Russian mathematical schools. In honor of his 200th birthday we present this mini-series of lectures highlighting some of his numerous contributions to the science. This event is a part of the Year of Science and Technology program.

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Program:

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15.00  Athanase Papadopoulos (Université de Strasbourg) Chebyshev, a heir of Euler. 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.

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16.00  Nikita Kalinin (Saint Petersburg State University) Cartography and mathematics of Chebyshev. 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.

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17.00  Alisa Sedunova (Saint-Petersburg State University) TBA

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18.00  NIck Trefethen (University of Oxford) Fourier, Chebyshev, and Chebfun. 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.

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19.00  Dmitriy Zaporozhets (Saint Petersburg State University and PDMI RAS) TBA

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Institutions participating in the organization of the event:

• Leonhard Euler International Mathematical Institute in Saint Petersburg

15:00 → 16:00 Chebyshev, a heir of Euler

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.

Speaker: Athanase Papadopoulos (Université de Strasbourg)

16:00 → 17:00 Cartography and mathematics of Chebyshev

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.

Speaker: Nikita Kalinin (Saint-Petersburg State University)

17:00 → 18:00 TBA

TBA

Speaker: Alisa Sedunova (Saint-Petersburg State University)

18:00 → 19:00 Fourier, Chebyshev, and Chebfun

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.

Speaker: NIck Trefethen (University of Oxford)

19:00 → 20:00 TBA

TBA

Speaker: Dmitriy Zaporozhets (Saint Petersburg State University and PDMI RAS)