Probability and analysis informal seminar
The Elastic Manifold is a model of an elastic interface in a disordered medium, introduced in the 80’s in order to understand the competition between the effects of disorder and those of elasticity. This model gave us a very vast literature in statistical physics, from Daniel Fisher to Marc Mezard and Giorgio Parisi, and many more works inspired by the progress of the Parisi school on Spin Glasses, up to the more mathematical recent works by Yan Fyodorov and Pierre Le Doussal.
I will cover here recent progress, first on the topological complexity of the energy landscape for the Elastic Manifold, obtained with Paul Bourgade (Courant) and Benjamin McKenna (Georgia Tech), and then on the Parisi formula for the quenched free energy, and the nature of the glass transition at low temperature, more recently proved in a series of works, with Pax Kivimae (Courant).
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Thierry Bodineau, Pieter Lammers, Yilin Wang
