Previous Conferences & Workshops

Abstract: We discuss singularities of Teichmueller harmonic map flow, which is a geometric flow that changes maps from surfaces into branched minimal immersions, and explain in particular how winding singularities of the map component can lead to...

The emerging theory of High-Dimensional Expansion suggests a number of inherently different notions to quantify expansion of simplicial complexes. We will talk about the notion of local spectral expansion, that plays a key role in recent advances in...

The workshop covered more broadly current developments in several different geometric variational problems and their applications. Topics included harmonic maps, Willmore surfaces, Yamabe-type problems, geometric measure theory...

Abstract: Given a class of conformally compact Einstein manifolds with boundary, we are interested to study the compactness of the class under some local and non-local boundary constraints. I will report some joint work with Yuxin Ge and Jie Qing...

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...

Abstract: The purpose of this work is to perform a mathematically rigorous study of Lagrangian chaos and "passive scalar turbulence" in incompressible fluid mechanics. We study the Lagrangian flow map associated to 2D Navier-Stokes and hyper-viscous...

Abstract: We consider a class of dynamical systems described by ordinary differential equations with an isolated singularity, where the singularity is characterized by the lack of Lipschitz continuity. Singularities are common in applications both...

Abstract: I will discuss the recent non-uniqueness result with Vlad Vicol on the non-uniqueness of weak solutions to the Navier-Stokes equations, as well as the follow up paper by myself, Maria Colombo and Vicol. I hope to phrase the results within...

5 minutes each:Steve Childress (NYU)Camillo de Lellis (IAS)Yakov Sinai (Princeton University/IAS)Jalal Shatah (NYU)Larry Sirovich (Rockefeller)John Wettlaufer (Yale University)