Rees algebra of sparse determinantal ideals.
Thời gian: 14:45 đến 15:30 Ngày 08/06/2023
Địa điểm: Phòng C101, Viện nghiên cứu cao cấp về Toán
Speaker: Prof. C. Polini (University of Notre Dame, USA)
Abstract: Rees algebras of ideals of maximal minors of generic matrices are very well understood. In this talk we deal with the case of sparse matrices. We investigate the defining ideals of these algebras, and we prove that they are Koszul and have rational singularities or are F-rational, respectively.
This is a report on joint work with Ela Celikbas, Emilie Dufresne, Louiza Fouli, Elisa Gorla, Kuei-Nuan Lin, and Irena Swanson.