
Andrew Mathas
University of Sydney
Rouquier blocks of symmetric groups
Friday 14th May, 12:0512:55pm,
Carslaw 373.
One of the classic unsolved questions in modular representation theory
asks if we can compute the decomposition numbers of the symmetric groups
in positive characteristic. That is, can we describe how the ordinary
irreducible representations "break up" when we reduce them modulo some
prime? The answer to this question in general is still far out of reach;
however, for a distinguished class of blocks  the Rouquier blocks 
this problem has been solved completely by Leclerc and Miyachi, and by
Chuang and Tan, independently (generalizing earlier work of James and
Mathas). This talk will be a survey of these results.







