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Fakultät für Mathematik Universität Regensburg
(Infinity, n)-Categories
SoSe 2018

Justin Noel / Georgios Raptis

Type of course (Veranstaltungsart)

The purpose of this seminar is to study the general theory of higher categories and its applications. Higher category theory, especially the theory of (\infty,n)-categories, provides a powerful language for handling the complexity of encoding relations, relations between relations, and "so on". This language has been applied to questions in homotopy theory, derived algebra, derived algebraic geometry, topological field theory, and computer science. In addition to conceptualizing classical results by placing them in a more general context, they have proven essential for studying homotopy theories themselves. Although this seminar nominally is a continuation of the previous series, this semester we will be focusing on (\infty,n)-categories for n > 1 and it is NOT REQUIRED that you have attended the seminar before. We will consider some models and applications of the theory.

Recommended previous knowledge
Essential: Simplicial homotopy theory. Desirable: Familiarity with \(\infty, 1\)-categories.

Tuesday 16:00-18:00


Course homepage
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

  • 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 der Prüfungsleistung
  • Unbenotet:
    • O. g. Studienleistung
MV, MSem

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