Abstract:

\nThe M ullineux involution is an important map that appears in the study of representations of the symmetric group and the alternating group in characteristic p. The fixed points of this map are certai n partitions of particular interest. It is known that the ca rdinality of the set of these self-Mullineux partitions is e qual to the cardinality of a

\ndistinguished subset of s elf-conjugate partitions. In this talk\, I will show an expl icit bijection between the two families of partitions in ter ms of the Mullineux symbol. I will also explain why it is in teresting to have such a correspondence\, this has to do wit h decomposition matrices of the symmetric group and labelling of < span>its simple modules in the modular case.

DTSTAMP:20210117T101300Z
END:VEVENT
END:VCALENDAR\nThe M ullineux involution is an important map that appears in the study of representations of the symmetric group and the alternating group in characteristic p. The fixed points of this map are certai n partitions of particular interest. It is known that the ca rdinality of the set of these self-Mullineux partitions is e qual to the cardinality of a

\ndistinguished subset of s elf-conjugate partitions. In this talk\, I will show an expl icit bijection between the two families of partitions in ter ms of the Mullineux symbol. I will also explain why it is in teresting to have such a correspondence\, this has to do wit h decomposition matrices of the symmetric group and labelling of < span>its simple modules in the modular case.