Workshop
Workshop on Geometric and Renormalization Group Flows
Gerhard Huisken, Todd Oliynyk
22 Nov 2006 – 24 Nov 2006
Max Planck Institute for Gravitational Physics
(Albert Einstein Institute)
Potsdam, Germany
Talk
Field theoretic and algebraic aspects of certain curvature flows
Ioannis Bakas
22 Nov 2006, 14:00
I describe the realization of three curvature flows in field theory. The Ricci flow as bulk renormalization group equation of sigma models; the mean curvature flow as boundary renormalization group equation of sigma models; the Calabi flow as equation for gravitational radiation in general relativity. Then, I shall explain the use of algebraic techniques for integrating some of these curvature flows in two dimensions.
Notes (PDF): http://www.aei.mpg.de/~olito/WS/Talks/Bakas.pdf