Polynomial functors and Schur algebras have their origin in Schur's seminal work, starting with his thesis from 1901. Since then, these concepts have become increasingly relevant in various parts of mathematics, most prominently in representation theory and algebraic topology. The goals of this workshop are to provide an introduction, report on recent developments and encourage dialogue among experts from different areas of mathematics who study polynomial functors and Schur algebras.
Location: Bielefeld University, all lectures will be held in room V2-210/216
Schedule: Talks start Thursday 10am and finish Saturday around 1pm.
Organisers: Andrew Hubery, Henning Krause
Support: DFG CRC 701 "Spectral Structures and Topological Methods in Mathematics", DFG SPP 1388 "Representation Theory"
If you would like to attend the workshop, or have further questions, please contact one of the organisers. We expect to receive funding to support financially participants from the networks SPP 1388 (Germany), GDRI 571 (France), and Repnet (UK). Participants arrange their own accommodation (see here for options); please contact the secretary Frau Zelmer if you need help.
The conference picture is avalable in medium resolution (0.7 MB) and in high resolution (2.1 MB).
All lectures were held in room V2-210/216.
Abstracts for the talks are available on a separate page.
10:00 | – | 11:00 | Karin Erdmann (Oxford) Representation theory of classical Schur algebras |
Coffee break | |||
11:30 | – | 12:30 | Aurélien Djament (Nantes) Polynomial functors (I): classical notions and uses |
Lunch break | |||
14:15 | – | 15:15 | Anne Henke (Oxford) Symmetric powers, Brauer algebras and Schur algebras |
15:30 | – | 16:30 | Antoine Touzé (Paris) Strict polynomial functors in homological algebra computations |
Coffee break | |||
17:15 | – | 18:15 | Colloquium: Catharina Stroppel (Bonn) From classical Schur-Weyl duality to quantized skew Howe dualities |
10:00 | – | 11:00 | Karin Erdmann (Oxford) Generalizing Schur algebras |
Coffee break | |||
11:30 | – | 12:30 | Andrew Mathas (Sydney) Graded Schur algebras and decomposition numbers |
Lunch break | |||
14:15 | – | 15:15 | Catharina Stroppel (Bonn) Graded decomposition numbers of cyclotomic q-Schur algebras |
15:30 | – | 16:30 | Alexander Zimmermann (Amiens) Polynomial functors of prime degree |
Coffee break | |||
17:00 | – | 18:00 | Reinhard Siegmund-Schultze (Kristiansand) Issai Schur and his algebraic school in Berlin: known and unknown historical documents, with emphasis on persecution in the Third Reich (slides are available) |
19:00 | – | Dinner at restaurant Brauhaus (web pages in German) |
9:00 | – | 10:00 | Aurélien Djament (Nantes) Polynomial functors (II): some recent developments around the global structure |
10:15 | – | 11:15 | Phillip Linke (Bielefeld) The category F(q) in generic representation theory is coherent |
Coffee break | |||
11:45 | – | 12:45 | Marcin Chałupnik (Warsaw) Homological structures on the category of strict polynomial functors (slides are available) |
We plan to collect material about the subject on this website; see here for a start.