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Hinweis Bitte informieren Sie sich auf den jeweiligen GRIPS-Seiten über den digitalen Ablauf der Lehrveranstaltungen.  Note For our digital courses all relevant information can be found on the appropriate GRIPS sites.Monads and their applications II SemesterSoSe 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
MV, MArGeo, MGAGeo ECTS 4,5 |