Facets of link homology

Speaker: Spiro Karigiannis (University of Waterloo) Title: Cohomologies on almost complex manifolds and their applications Abstract: We define three cohomologies on an almost complex manifold (M, J), defined using the Nijenhuis-Lie derivations induced from the almost complex structure J and its Nijenhuis tensor N, regarded as vector-valued forms on M. One of these can be applied to distinguish non-isomorphic non-integrable […]

Speaker: Hans Lindblad (Johns Hopkins University) Title:  Global Existence and Scattering for Einstein's equations and related equations satisfying the weak null condition Abstract: Einstein's equations in harmonic or wave coordinates are a system of nonlinear wave equations for a Lorentzian metric, that in addition satisfy the preserved wave coordinate condition. Christodoulou-Klainerman proved global existence for Einstein vacuum equations for […]