Veranstaltung
Algebraic models for topological spaces| Titel der Veranstaltung | Algebraic models for topological spaces |
| Reihe | MathematischeGesellschaft |
| Veranstalter | Mathematisches Institut |
| Referent/in | Prof. Dr. Birgit Richter |
| Einrichtung Referent/in | Universität Hamburg |
| Veranstaltungsart | Kolloquium |
| Kategorie | Forschung |
| Anmeldung erforderlich | Nein |
| Beschreibung | Classically, there are several algebraic models for rational topological spaces, ranging from differential graded commutative algebras, Lie algebras to cocommutative coalgebras. In joint work with Steffen Sagave we find a strictly commutative model for the cochain algebra of a space over an arbitrary ground ring. This model is built in the category of $I$-chain complexes, where $I$ is the category of finite sets and injections. In this talk we review this result and explain how it determines the integral homotopy type of (nilpotent) spaces (of finite type). I will also describe features of the category of $I$-chain complexes and discuss how these might affect the chances of finding algebraic models for spaces via comonoids in $I$-chain complexes. |
| Zeit | Beginn: 12.05.2022, 16:15 Uhr Ende: 12.05.2022 , 17:15 Uhr |
| Ort |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer oder Zoom: https://uni-goettingen.zoom.us/j/91336854872 |
| Kontakt |
05513927752 annalena.wendehorst@mathematik.uni-goettingen.de |
| Externer Link | https://uni-goettingen.zoom.us/j/91336854872 |