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Fakultät für Mathematik Universität Regensburg
Seminar on Ricci flow
Semester
SoSe 2017

Lecturer
Bernd Ammann

Type of course (Veranstaltungsart)
Seminar

Contents
In this seminar we will study the Ricci-flow in arbitrary dimensions. The Ricci flow in dimension 3 provides the geometrisation of compact oriented 3-manifolds in the sense of Thurston. This is a decomposition in elementary pieces. The Poincare conjecture is a special case. One talk of the seminar will sketch this program. Other topics are shorttime existence and uniqueness of the flow, the neckpinch and curvature evolution. The goal is to understand the behavior of the flow until the blowup in singularities and the entropy formula. However, it is not realistic to give a full proof of the geometrisation within this seminar. Instead our aim is to acquire an overview over the central parts of the proof.

Literature
see webpage

Recommended previous knowledge
Some experience with geoemtric parabloic flows as e.g. in the seminar in the previous semester

Time/Date
Monday, 8-10

Location
M102

Course homepage
http://www.mathematik.uni-regensburg.de/ammann/lehre/2017s_ricci2
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • Organisational meeting/distribution of topics: by email. A preparatory meeting will then be
    arranged.
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Presentation: Giving a seminar talk of roughly 90 minutes
Examination (Prüfungsleistungen)
  • Detailed written report of the seminar talk
Regelungen bei Studienbeginn vor WS 2015 / 16
  • Benotet:
    • O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus dem Seminarvortrag
  • Unbenotet:
    Modules
    BSem, MV, MSem

    ECTS
    Siehe Modulkatalog. MV und Nebenfach: 4,5 LP bei Studienbeginn ab WS 15/16, 6 LP bei Studienbeginn
    vor WS 15/16
    Druckansicht