Mini-course Noetherianity and homological finiteness for polynomial functors given by videoconference to VIASM in november 2023

In the framework of the program Algebraic Topology Activity 2023 of the Vietnam Institute for Advanced Study in Mathematics (VIASM), the following talks were given from 13 to 27 november 2023 on Mondays at 09:00 (french hour), 15:00 (vietnamese hour).

Version française de cette page.


- First talk: introduction to functor categories and to finiteness properties in abelian categories, polynomial functors, Schwartz's lemma.

Notes of the talk (in english).

French version of the notes.

- Second talk: ordinary and strict polynomial functors - basic structure and first noetherianity result.

Notes of the talk (in english).

French version of the notes.

- Last talk: main results.

Notes of the talk (in english).

French version of the notes.


(These notes are not supposed to correspond exactly with the talks; the files have been updated to correct some typos, but probably other ones remain.)





Last change: 27 november 2023.