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Novikov’s problem: from physics of metals to modern dynamical systems

Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019

November 18, 2019 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Alexandra Skripchenko (Higher School of Economics)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Measured foliations on surfaces

  • interval exchange transformations

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Abstract

I will discuss a famous problem posed by S. P. Novikov in 1982 in connection with the conductivity theory of monocrystals: what one can say about different types of asymptotic behavior of plane sections of a triply periodic surface? Apparently the most efficient approach to this problem is closely related to the techniques used in Teichmuller dynamics. I will try to explain historical perspectives and recent developments as well as challenging questions that still remain open.

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