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SUMMARY:Garnir relations and Dyck tilings - Matt Fayers\, QMUL
DTSTART:20150225T163000Z
DTEND:20150225T173000Z
UID:TALK57249@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:Recently the study of the representation theory of the symmetr
 ic group has been revolutionised by the discovery that the group algebra i
 s isomorphic to a "cyclotomic quiver Hecke algebra"\, which shows in parti
 cular that this algebra is graded.  Kleshchev\, Mathas and Ram have given 
 a homogeneous presentation for any Specht module for the symmetric group. 
 The relations in this presentation include ”homogeneous Garnir relations
 ”\, which appear in a slightly nebulous (and inefficient) form. I’ll d
 escribe what happens when the Garnir relations are re-written in terms of 
 standard generators\; as we’ll see\, some interesting combinatorics rela
 ted to Dyck tilings comes into play.
LOCATION:MR12
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