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SUMMARY:Anne Thomas (University of Sydney)
DTSTART:20220204T010000Z
DTEND:20220204T020000Z
DTSTAMP:20260423T021354Z
UID:SiN/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SiN/34/">A g
 allery model for affine flag varieties via chimney retractions</a>\nby Ann
 e Thomas (University of Sydney) as part of Symmetry in Newcastle\n\nLectur
 e held in SR118\, Callaghan Campus.\n\nAbstract\nA gallery model for affin
 e flag varieties via chimney retractions\nWe provide a unified combinatori
 al framework to study orbits in affine flag varieties via the associated B
 ruhat-Tits buildings. We first formulate\, for arbitrary affine buildings\
 , the notion of a chimney retraction. This simultaneously generalises the 
 two well-known notions of retractions in affine buildings: retractions fro
 m chambers at infinity and retractions from alcoves. We then present a rec
 ursive formula for computing the images of certain minimal galleries in th
 e building under chimney retractions\, using purely combinatorial tools as
 sociated to the underlying affine Weyl group. Finally\, for Bruhat-Tits bu
 ildings\, we relate these retractions and their effect on certain minimal 
 galleries to double coset intersections in the corresponding affine flag v
 ariety. This is joint work with Elizabeth Milicevic\, Yusra Naqvi and Petr
 a Schwer.\n
LOCATION:https://researchseminars.org/talk/SiN/34/
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