GeomTop Seminar: talk by Mehdi Makhul
Date
Wednesday, November 14, 2018 13:00 - 14:15
Speaker
Mehdi Makhul (Johann Radon Institute)
Location
Mondi Seminar Room 3, Central Building
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Uli Wagner
Contact
We study the probability for a random line to intersect a givenplane curve, defined over a finite field, in a given number of pointsdefined over the same field. In particular, we focus on the limits ofthese probabilities under successive finite field extensions. Veronesemaps allow us to compute similar probabilities of intersection between agiven curve and random curves of given degree. Finally, we use Bertini'sTheorem to compute the probability that a random linear subspace of theright dimension intersects X in a given number of points.