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Seminar

Fellowship of the Ring, National Seminar: Rees algebras of ideals generated by 2x2 minors June 18, 2020 (01:30 PM PDT - 03:30 PM PDT)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Claudia Polini (University of Notre Dame)
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Rees Algebras Of Ideals Generated By 2x2 Minors

Abstract/Media

 

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 with two rows and with the case of two by two minors of generic matrices. We investigate the defining ideals of these algebras, and in the first case 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 and with Hang Huang, Michael Perlman, Claudiu Raicu, and Alessio Sammartano.

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Rees Algebras Of Ideals Generated By 2x2 Minors

H.264 Video 25062_28457_8373_Rees_Algebras_of_Ideals_Generated_by_2x2_Minors.mp4