Quebec Mathematical Sciences Colloquium

March 10, 2023 from 15:30 to 16:30 (Montreal/EST time) On location

Some expected and unexpected applications of Riemann surface theory in mathematical physics

Colloquium presented by Vasilisa Shramchenko (Sherbrooke University)

Riemann surfaces and algebraic curves are ubiquitous in mathematics. Without attempting a review of the variety of ways in which they are useful, we will look at some specific examples and discuss some curious links with physics and mathematical physics, including a link between the quantum harmonic oscillator and moduli spaces of Riemann surfaces, and a link between the periodic Toda chain, Chebyshev polynomials, and Painlevé equations.    


Centre de recherches mathématiques Pavillon André-Aisenstadt, Université de Montréal Room 5340