Prof. Dr. Hans-Bert Rademacher

Lehrveranstaltungen Sommersemester 2021:  

Beachten Sie bitte die Hinweise der Universität für Studierende zu
den aktuellen Festlegungen für die Durchführung des Sommersemesters
in Folge der Corona-Pandemie:
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Vorlesung Differentialgeometrie 2/
Lecture Advanced differential geometry I

Di 9:15 - 10:45 , Mi 13:15 - 14:45

Please enrol in this course via MOODLE (and ALMAWEB)
The course starts on April, 13

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 

Please enrol in this course via MOODLE (and ALMAWEB)
The course starts at April, 13

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:
Metric geometry generalizes geometric concepts known from differential
geometry to metric spaces without assumptions about the smoothness of objects.
This includes spaces which are limits of smooth Riemannian manifolds.

Reference:
 D.Burago, Y.Burago, S.Ivanov: A course in metric geometry, Grad.Studies Math. 33, Amer.Math.Soc. 2001
(avalaible from the authors' homepage)

List of talks
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Oberseminar Differentialgeometrie

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

Termin und Ort werden zu Beginn der Vorlesungszeit festgelegt.
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Stundenplan (Seite der Fakultät)

12.03.2021

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