We work in the context of the modular representation theory of the symmetric groups. A long-standing conjecture, from the late 80s, suggests that there are no (non-trivial) self-extensions of irreducible modules over fields of odd characteristic. In this talk we will highlight several new positive results on this conjecture.

This is joint work with S. Kleshchev and L. Morotti.

This video was produced by the Okinawa Institute of Science and Technology, as part of their OIST Representation Theory Seminar series.