Workshop on New Ideas and Tools in Turbulence

Abstract: I will present a new approach to the isometric embedding problem. The main new idea is to use the theory of stochastic flows in combination with various possible gradient flow structures. These ideas are motivated by the statistical mechanical models of turbulence. My approach hasn’t led to new proofs yet, so this talk is primarily a discussion of partial progress. Nevertheless the approach suggests many new questions, sheds new light on Nash’s results and should be useful for quantitative $h$-principles.