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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Free resolutions from opposite Schubert varieties
in minuscule homogeneous spaces - Sara Angela Fili
ppini (Jagiellonian University)
DTSTART;TZID=Europe/London:20220713T160000
DTEND;TZID=Europe/London:20220713T170000
UID:TALK176435AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/176435
DESCRIPTION:Free resolutions $F_\\bullet$ of Cohen-Macaulay an
d Gorenstein ideals have been investigated for a l
ong time. An important task is to determine generi
c resolutions for a given format ${rk F_i}$. Start
ing from the Kac-Moody Lie algebra associated to a
T-shaped graph T_{p\,q\,r}\, Weyman constructed g
eneric rings for every format of resolutions of le
ngth 3. When the graph T_{p\,q\,r} is Dynkin\, the
se generic rings are Noetherian. Sam and Weyman sh
owed that for all Dynkin types the ideals of the i
ntersections of certain Schubert varieties of codi
mension 3 with the opposite big cell of the homoge
neous spaces G(T_{p\,q\,r})/P\, where P is a speci
fied maximal parabolic subgroup\, have resolutions
of the given format. In joint work with J. Torres
and J. Weyman we study the case of Schubert varie
ties in minuscule homogeneous spaces and find reso
lutions of some well-known Cohen-Macaulay and Gore
nstein ideals of higher codimension.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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