Speaker: Vivek Mukundan (Unversity of Virginia, USA)
Day and Time: 6:00 p.m. (18:00 hours), Thursday, June 18, 2020
Title: Two themes on Rees Algebra of Ideals.
Abstract: The talk discusses two problems, namely, the Implicitization
problem and the stable Harbourne problem which uses Rees Algebra of ideals
in an essential way. Implicitization problem seeks the equations defining
the closed image of certain rational map. The rational map is defined by a
height two perfect ideals satisfying certain conditions. This translates
to finding the equations defining the special fiber ring.
The second problem relates to finding optimal solution to the containment
problem. The containment problem is about finding the best values of n and
b such that I^{(b)}\subseteq I^n. We discuss the Harbourne conjecture and
various aspects of the containment problem. We then introduce the stable
Harbourne problem and prove classes of ideals giving credence to it.
Videoconferencing will be via webex.
Meeting link:
https://iitbombay.webex.com/iitbombay/j.php?MTID=m982006e853c9c6d003858b79e7767d37
Meeting number: 166 383 6958
Password: pK39MPtDfe3