Martin-Luther-Universität Halle-Wittenberg


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05. Juli 2023

Thomas Rot (Vrije Universiteit Amsterdam)

From the infinite to the finite

Many elliptic PDE problems can be solved as zero finding problems of non-linear proper Fredholm mappings f:H\rightarrow H, where H is an infinite dimensional Hilbert space. We want to understand these mappings up to homotopy (i.e. perturbations) and understand their zero sets.  In this talk I will give a full classification in terms of a well-studied, but complicated, object in algebraic topology: the stable homotopy groups of spheres. I will try to keep the neccessary topological background minimal. This is joint work with Lauran Toussaint.

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