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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Free resolutions from opposite Schubert varieties in minuscule homogeneous spaces

## Free resolutions from opposite Schubert varieties in minuscule homogeneous spacesAdd to your list(s) Download to your calendar using vCal - Sara Angela Filippini (Jagiellonian University)
- Wednesday 13 July 2022, 16:00-17:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. KAH2 - K-theory, algebraic cycles and motivic homotopy theory Free resolutions $F_\bullet$ of Cohen-Macaulay and Gorenstein ideals have been investigated for a long time. An important task is to determine generic resolutions for a given format ${rk F_i}$. Starting from the Kac-Moody Lie algebra associated to a T-shaped graph T_{p,q,r}, Weyman 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 intersections of certain Schubert varieties of codimension 3 with the opposite big 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 joint work with J. Torres and J. Weyman we study the case of Schubert varieties in minuscule homogeneous spaces and find resolutions of some well-known Cohen-Macaulay and Gorenstein ideals of higher codimension. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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