12.02.2026, 15:00
– Haus 9, Raum 0.17
Forschungsseminar Differentialgeometrie
Gromov's conjecture on the mean of the mean curvature
Christian Bär (UP)
To empower the mathematical hitchhiker wishing to use operator methods in geometry and topology, we present this user's guide to first-order elliptic boundary value problems. Existence, regularity, and Fredholmness are discussed for general first-order elliptic operators on manifolds with compact boundary. The focus is on a very general class of elliptic boundary conditions, which contain those that are pseudo-local as a special case, yielding the relative index theorem. A new characterisation of a subclass of elliptic boundary conditions is also given.