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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Seminar on Microlocal Analysis SemesterWiSe 2026 / 27 Lecturer Bernd Ammann Type of course (Veranstaltungsart) Seminar German title Seminar über mikrolokale Analysis Contents Microlocal analysis is a strong tool in geometric analysis. It refines the notion of the singular support of a distribution to the "wave front set", which is a subset of the cotangent bundle T*M of the underlying manifold M, whereas the singular support is a subset of M itself. Knowledge on the wave front set leads to a better understanding of the singular behavior by adding information in which direction the singularity occurs. A main tool for microlocal analysis is the algebra of pseudodifferential operators. This algebra includes differential operators. It also includes operators of negative degrees, e.g. the inverse of an invertible elliptic differential operator is again a pseudodifferential operator. It will be important to understand their symbols.
In the seminar we follow a new book on microlocal analysis by Peter Hintz. One objective of this book is to apply the powerful machinery of microlocal analysis for studying hyperbolic evolution equations, both for hyperbolic systems on ℝn and for natural hyperbolic partial differential equations on Lorentzian manifolds.
Time/Date Tuesday, 16-18 Location M101 Course homepage https://ammann.app.uni-regensburg.de/lehre/2026w_MLA (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MSem ECTS 4,5 |