Algebra Seminar: Yacobi -- Some applications of braid groups acting on triangulated categories

Speaker: Oded Yacobi (University of Sydney) 

Time: Friday 4 March, 12-1pm Place: Carslaw 275 

Title: Some applications of braid groups acting on triangulated categories 

Abstract: Picking up where we left off in the previous algebra seminar, I will talk
about the technical details in the second half of the proof of the main theorem we
discussed then.  Just kidding...  This talk will be a leisurely overview of some ideas
I’ve been thinking about the last couple of years, including on how to relate the action
of the symmetric group on the Kazhdan-Lusztig basis to interesting combinatorial
operations on standard Young tableau, and generalisations involving the Weyl group
action on dual canonical bases.  If there is time, I will also touch on completely
different results which use Bridgeland stability conditions to give a new description of
periodic elements in the braid group.  All these results are applications of the same
theorem about braid groups acting on derived categories.