Prof. Dr. Hans-Bert Rademacher

Lehrveranstaltungen Sommersemester 2022/ Courses Summer term 2022


Vorlesung Differentialgeometrie 2/
Lecture Advanced differential geometry I

Di 9:15 - 10:45 , Mi 13:15 - 14:45, Seminargebäude SG 2-14

Please enrol in this course via MOODLE (and ALMAWEB)
The course starts on April, 5

Teilnehmer/innen: (students)
- Studierende der Mathematik (Diplom), Wirtschaftsmathematik (Diplom)
- students in mathematical physics (M.Sc.)

It is a compulsary elective course in the mathematical physics program (10-MAT-MPDG1) formed by this lecture and the seminar

Topics:
After a crash course about concepts of differential geometry (connection, geodesics,
parallel transport and curvature),we investigate Riemannian manifolds.
We will discuss how curvature determines topology. In addition we will study
differential operators on Riemannian manifolds,in particular the Laplace-operator.

References:
 - Gallot, Hulin, Lafontaine: Riemannian Geometry, 3rd ed., Springer 2004
- Jost: Riemannian Geometry and Geometric Analysis, 6th ed., Springer 2011
- Petersen: Riemannian Geometry, 3rd ed., Springer 2016
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Fachseminar Differentialgeometrie/
Seminar Advanced differential geometry I

Di 13:15 - 14:45, Augusteum A-314 

Please enrol in this course via MOODLE (and ALMAWEB)
The course starts at April, 5

Teilnehmer/innen: (students)

- Studierende der Mathematik (Diplom), Wirtschaftsmathematik (Diplom)

- students in mathematical physics (M.Sc.)

It is a compulsary elective course in the mathematical physics program (10-MAT-MPDG1) formed by the lecture and the seminar

Topics:
In Morse theory one studies differentiable functions on manifolds.
Then one studies the relation between invariants of the critical points and
topological properties of the manifold. This is  a powerfull method which
is used in many fields.
Reference:
John Milnor, Morse theory,
Annals Math. Studies 51, Princeton Univ. Press, Princeton 1969

List of talks

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Oberseminar Differentialgeometrie

Di 15:15 - 16:45, Augusteum A-314 

Fortgeschrittene Studierende, Mitarbeiter/innen und Gäste tragen über ihre Forschungen und aktuelle Entwicklungen vor.

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Stundenplan (Seite der Fakultät)

2022-03-28

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