Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg

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Introduction to stable homotopy theory
Semester
WiSe 2020 / 21

Lecturer
Denis Nardin

Type of course (Veranstaltungsart)
Vorlesung

Contents
This class will cover the construction and the basic properties of the category of spectra, an
important mathematical tool with applications to homotopy theory, geometric topology, number theory
and algebraic geometry. Planned topics include: * Construction of the category of spectra * The
recognition principle, following Segal * Monoidal structures and duality * Localization and
completion

Literature
* Adams, John Frank. Stable homotopy and generalised homology. University of Chicago press,
1974. * Segal, Graeme. "Categories and cohomology theories." Topology 13.3 (1974):
293-312. * Schwede, Stefan. "Symmetric spectra." preparation, online version accessible
at http://www.math.uni-bonn.de/people/schwede/SymSpec-v3.pdf. (2012).

Recommended previous knowledge
Basics of algebraic topology, at the level of the Algebraic Topology II course

Time/Date
Monday 10-12, Thursday 10-12

Location
Digital on Zoom

Registration
  • Preliminary registration for the organisation of exercise classes: at the end of the previous
    semester via EXA or LSF (see announcement by the department)
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: 50% Punkte
  • Passing the examination below
Examination (Prüfungsleistungen)
  • Oral exam: Duration: 30 minutes, Date: , re-exam: Date:
Modules
BV, MV, MArGeo, MGAGeo

ECTS
9