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SUMMARY:Free resolutions from opposite Schubert varieties in minuscule hom
 ogeneous spaces - Sara Angela Filippini (Jagiellonian University)
DTSTART:20220713T150000Z
DTEND:20220713T160000Z
UID:TALK176435@talks.cam.ac.uk
DESCRIPTION:Free resolutions $F_\\bullet$ of Cohen-Macaulay and Gorenstein
  ideals have been investigated for a long time. An important task is to de
 termine generic resolutions for a given format ${rk F_i}$. Starting from t
 he Kac-Moody Lie algebra associated to a T-shaped graph T_{p\,q\,r}\, Weym
 an constructed generic rings for every format of resolutions of length 3. 
 When the graph T_{p\,q\,r} is Dynkin\, these generic rings are Noetherian.
  Sam and Weyman showed that for all Dynkin types the ideals of the interse
 ctions of certain Schubert varieties of codimension 3 with the opposite bi
 g cell of the homogeneous spaces G(T_{p\,q\,r})/P\, where P is a specified
  maximal parabolic subgroup\, have resolutions of the given format. In joi
 nt work with J. Torres and J. Weyman we study the case of Schubert varieti
 es in minuscule homogeneous spaces and find resolutions of some well-known
  Cohen-Macaulay and Gorenstein ideals of higher codimension.
LOCATION:Seminar Room 2\, Newton Institute
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