Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg
Infinity-Categories
Semester
SoSe 2019

Lecturer
Markus Land

Type of course (Veranstaltungsart)
Vorlesung

Contents
The aim of the coarse is to explain basic categorical properties of infinity categories. Contents
that should be discussed are the Yoneda embedding, the straightening functor (and to some extend its
inverse), colimits and limits, adjunctions, presentable categories and localizations. If time
permits, we might discuss stable infinity-categories such as the derived category of a ring and
spectra.

Recommended previous knowledge
Familiarity with simplicial sets and ordinary categories is helpful. The knowledge of the previous
coarse (Introduction to higher categories) can be helpful but is not strictly needed. As usual, I
will adjust the contents of the coarse to the wishes of the audience.

Time/Date
Monday, 8-10, Thursday, 14-16

Location
M103

Course homepage
http://www.markus-land.de
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: presentation of at least 3 exercises in the
    exercise session
Examination (Prüfungsleistungen)
  • Oral exam: Duration: 30 minutes, Date: , re-exam: Date:
Additional comments
There will be a weekly exercise session, Wednesday 16-18.

Modules
BV, MV, MArGeo, MGAGeo

ECTS
9