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Mathematical Sciences Colloquium by Vasilisa Shramchenko
Friday, Feb 24
2 p.m. - 3 p.m. Location: JO 4.614

Vasilisa Shramchenko

Département de mathématiques

Universite de Sherbrooke

What quantum mechanics knows about moduli spaces of algebraic curves

In this talk I will introduce the topological recursion of Chekhov-Eynard-Orantin which produces a hierarchy of multivariable differentials defined on a given algebraic curve. Differentials obtained in this way have been linked to various invariants in geometry and topology as well as to wave functions of quantum systems. I will consider one particular quantum system, that of the harmonic oscillator, in detail and show that there is a relationship between its wave function and spaces of ribbon graphs as well as moduli spaces of stable curves.


Sponsored by the Department of Mathematical Sciences

Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

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