• ### Link homology and foams

AbstractSome of the better-known link homology theories are bigraded and categorify Reshetikhin-Turaev GL(N) link invariants. In the past few years foams have emerged as an explicit way to construct link homology theories. We will explain what foams are and how evaluation of foams leads to these explicit approaches to link homology.Mikhail KhovanovColumbia UniversityMikhail Khovanov is a profes...

• ### Leibenson's equation on Riemannian manifolds

Abtract：We consider on arbitrary Riemannian manifolds the Leibenson equation:$\partial _{t}u=\Delta _{p}u^{q}.$This equation comes from hydrodynamics where it describes filtration of a turbulent compressible liquid in porous medium. Here $u(x,t)$ is the fraction of the volume that the liquid takes in porous medium at time $t$ at point $x$. The parameter $p$ characterizes the turbulence of a...