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Tuesday, February 25, 2025
4:00 PM - 5:00 PM
Linde Hall 310

Mathematics Colloquium

Renormalization, semiconvexity, and applications
Roland Bauerschmidt, Courant Institute of Mathematical Sciences, New York University,

There is a large theory for gradient flows and stochastic gradient flows with convex potentials -- with many applications. On the other hand, there is no general theory for nonconvex potentials if the dimension of the state space becomes large (or infinite) and the behavior one can expect is very model dependent. I will present a general perspective based on the continuous renormalization group flow that applies to models that arise in statistical mechanics and quantum field theory. I will also present some applications that result from it and mention (but not focus on) related developments in convex geometry and machine learning.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.