Modul:   MAT076  Arbeitsgemeinschaft in Codierungstheorie und Kryptographie

v-numbers of binomial edge ideals

Talk by Dr. Lisa Seccia

Date: 23.11.22  Time: 15.00 - 16.00  Room:

The v-number is an algebraic invariant of graded ideals. The original motivation behind the study of this invariant comes from coding theory. In this context, Cooper, Seceleanu et al. introduced v-numbers to investigate the asymptotic behavior of the minimum distance function of certain evaluation codes. Although they have been introduced quite recently, v-numbers have already inspired several results in different fields, such as commutative algebra and combinatorics. In this talk, I will survey the state-of-the-art and I will present some new results on v-numbers of binomial edge ideals and their relation with Castelnuovo-Mumford regularity and Gröbner degeneration (this is an ongoing project with Jaramillo-Velez).

(**This eSeminar will take place over Zoom, using the same meeting details as previous seminars. If you do not have meeting details, please contact zita.fiquelideabreu@math.uzh.ch **)