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Fakultät für Mathematik Universität Regensburg
Stable Homotopy Theory
Semester
SoSe 2017

Lecturer
Georgios Raptis

Type of course (Veranstaltungsart)
Seminar

Contents
This seminar will introduce and study the homotopy theory of spectra and its relation to generalized
(co)homology theories. Other topics to be discussed include: Spanier-Whitehead duality, calculations
using spectral sequences, cohomology operations, and applications to the calculation of cobordism
rings.

Literature
(1) J.F. Adams, Stable homotopy and generalised homology, (2) S.O. Kochman, Bordism, stable
homotopy, and Adams spectral sequences, (3) R. M. Switzer, Algebraic Topology - Homotopy and
Homology.

Recommended previous knowledge
Familiarity with Algebraic Topology, including singular (co)homology theory as well as the basic
theory of higher homotopy groups, will be assumed (e.g. as presented in the lecture courses
Algebraic Topology I and II). Some familiarity with the (co)homology of manifolds and cobordism
theory (as in Algebraic Topology III) will also be desirable for some parts of the seminar.

Time/Date
Wednesday 14-16

Location
M101

Registration
  • Organisational meeting/distribution of topics: Thursday 09.02.2017, 10-12, M102
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Presentation: Giving a seminar talk of roughly 90 minutes
Examination (Prüfungsleistungen)
  • Detailed written report
Regelungen bei Studienbeginn vor WS 2015 / 16
  • Benotet:
    • O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus dem Seminarvortrag
  • Unbenotet:
    • O. g. Studienleistung
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