AbstractIn several occasions, I have talked about some recent progresses on the unstable homotopy of manifolds made by Stephen Theriault and myself. But no details of the proof were presented. In this homotopy seminar talk, I would like to focus on one work in this project, that is, the loop homotopy decomposition of manifolds stabilized by projective spaces. We may work out some proofs togethe...
In this seminar, we will study wave equations particularly nonlinear wave equations, from a geometric perspective, and inspired by the dynamics in general relativity. Among the topics of interest are black holes, stability, long-term dynamics, low-regularity, fluids, and shocks. We will have a combination of external and local speakers, including students. This is coorganised by Pieter Blue, Ma...
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