Mathematical Sciences Seminar - Nakayama's Conjecture via Young Modules
When:
—
Venue:
Birkbeck Main Building, Malet Street
No booking required
Nakayama's Conjecture (first proved by Brauer and Robinson in 1947) provides a straightforward combinatorial classification of the blocks of the symmetric group. In this talk, I shall present recent work on how the theory of Brauer quotients of Young modules for the symmetric group can be used to give a new proof of Nakayama's Conjecture, which only uses the representation theory of the symmetric group and avoids heavy calculations. If time permits, I shall explain how these ideas can be used to solve a related problem for signed Young modules.
Contact name:
Department of Economics, Mathematics and Statistics