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Fakultät für Mathematik Universität Regensburg
Topics in higher category theory
Semester
SoSe 2017

Lecturer
Justin Noel, Georgios Raptis

Type of course (Veranstaltungsart)
Seminar

Contents
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. The exact subject
matter of the seminar will be determined by the participants and their interests. In particular,
participants are encouraged to speak about related topics arising in recent research papers. We
also encourage participants to give talks on various foundational topics including, but not limited
to, models for $(\infty,n)$-categories, presentable $\infty$-categories, higher topoi, stable
$\infty$-categories, (higher) operad theory, derived schemes, (derived) stacks,
the cobordism hypothesis, bicategories, higher Picard and Brauer groups...and beyond! Please
consult the course website: http://nullplug.org/infty-seminar-su-2017.html for more details.

Recommended previous knowledge
Participants should have some familiarity with the theory of $\infty$-categories.

Time/Date
Dienstag 16:00-18:00

Location
M101

Course homepage
http://nullplug.org/infty-seminar-su-2017.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • Organisational meeting/distribution of topics: 7.2.2017 16:15 M103, erste 3
    Seminars 25.4.2017 16:15 M101.
  • 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:
    • O. g. Studienleistung
Additional comments
Tutorium nach Verinbarung.

Modules
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