Description
Date/Time: 24 November 2020, 6:30pm IST/ 1:00pm GMT/ 8:00am EDT (joining
time: 6:15 pm IST - 6:30 pm IST)
Google meet link: meet.google.com/dhe-jsbw-jem
Speaker: Tai Huy Ha, University of Tulane
Title: The ideal containment problem and vanishing loci of homogeneous
polynomials
Abstract: We shall discuss Chudnovsky’s and Demailly’s conjectures which
provide lower bounds for the answer to the following fundamental question:
given a set of points in a projective space and a positive integer m, what
is the least degree of a homogeneous polynomial vanishing at these points
of order at least m? Particularly, we shall present main ideas of the
proofs of these conjectures for sufficiently many general points.