Previous Conferences & Workshops

Abstract:  We are interested in a fluid flow on a general Riemannian manifold.  There are inequivalent formulations of the governing equations.  One reason for this comes from having several Laplacians to choose from when working with vector fields...

Abstract: Morse theory is a beautiful subject with a long history, which includes significant contributions from Palais, Uhlenbeck and others in the family tree. In this talk I will explain how to construct the differentials and cup product on the...

Abstract:  In Jules Verne’s novel Journey to the Center of the Earth, the intrepid explorers, having entered via Snaefellsjökull, are guided by the initials AS (for Arne Saknussemm) etched on rocks along the way.  Here, with regards to gauge theory...

Abstract: In this talk, I will explain some applications of canonical forms (or slices) of group actions in submanifold geometry, invariant solutions of geometric partial differential equations, and soliton theory.

Abstract: The Teichm\"uller space of a compact surface S is realized as a connected component of the space of conjugacy classes of representations of the fundamental group into the Lie group PSL(2,R). This component is distinguished by the fact that...

Abstract : In this talk , I shall discuss my joint works with Poning Chen , Mu Tao Wang and Yi Kai Wang We find solution of an old problem in general relativity by defining good quasilocal conserved quantities in GR . In particular, by taking limit...

Abstract: The dynamical system related to a forced differential equation can be best understood by first characterizing any possible resonant effects that the forcing term exerts on the linearized equation. We will discuss challenges of extending...

Abstract: The existence theory of Sacks and Uhlenbeck opened up the possibility of using minimal two spheres to study geometric properties of manifolds. The other ingredient in this study is an understanding of the second variation of area. While...