Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg

Hinweis Bitte informieren Sie sich auf den jeweiligen GRIPS-Seiten über den digitalen Ablauf der Lehrveranstaltungen.

English Note For our digital courses all relevant information can be found on the appropriate GRIPS sites.

Monads and their applications II
Semester
SoSe 2021

Lecturer
Daniel Schäppi

Type of course (Veranstaltungsart)
Vorlesung

Contents
This is a continuation of the course "Monads and their applications". We will start with
two-dimensional monad theory which, broadly speaking, is the study of categories equipped with
algebraic structure. Specific examples are given by (enriched) categories with (symmetric or
braided) monoidal structures and categories which admit certain limits or colimits. The morphisms of
interest in these examples preserve the given structure only up to coherent isomorphism. For this
reason, two-dimensional monad theory differs from the theory of monads enriched in categories
discussed in the previous lecture. We will use the latter to study the former. Additional
applications of monads that we will discuss are algebraic weak factorization systems and comonadic
descent.

Recommended previous knowledge
Some familiarity with the topics discussed in the lecture "Monads and their applications",
a preliminary script is available on demand

Time/Date
Wed 10-12

Location
digital on zoom

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: individual, re-exam: Date: individual
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
Modules
MV, MArGeo, MGAGeo

ECTS
4,5