Algebra seminar
Isambard Goodbody (Univ. Glasgow): Strong Generation by Injectives
Abstract: Strong generation of a triangulated category is a notion which lets one encode notions of smoothness and dimension into the derived category of a ring or a scheme. There are many results along these lines beginning with Rouquier and, more recently, by Neeman. For example, the global dimension of a Noetherian ring is equal to the minimal generation time of the perfect complexes with respect to the regular module. For schemes we no longer have such a candidate generator, and a conjecture of Orlov asks one to consider all possible generators to extract the dimension. We take a different approach by taking our candidate generator to be all of the injectives. This project is a work in progress and there are still many unanswered questions.
- 16:10 Alexander Zahrer (Univ. Graz): TBA
The Algebra Seminar was founded by Vladimir Korinek in the early 1950's and continued by Karel Drbohlav until 1981. The seminar resumed its activities in 1990 under the guidance of Jaroslav Jezek and Tomas Kepka. Since 1994, the seminar is headed by Jan Trlifaj.
Presently, the seminar is supported by GACR. It serves primarily as a platform for presentation of recent research of the visitors to the Department of Algebra as well as members of the Department and their students.
