Commutative Algebra Seminar
Eloísa Grifo
University of California at Riverside
A stable version of Harbourne's Conjecture
Abstract: The powers of an ideal are easy to compute, though difficult to
describe geometrically; in contrast, symbolic powers are difficult to
compute while having a natural geometric description. In trying to
compare symbolic and ordinary powers, Harbourne conjectured that a
famous containment by Ein--Lazersfeld--Smith, Hochster--Huneke, and
Ma--Schwede could be tightened. Harbourne's Conjecture is a statement
depending on n that unfortunately has been disproved for particular
values of n. However, recent evidence points towards a stable version
of Harbourne's conjecture, where we ask only for n to be large enough.
Some of that evidence is joint work with Craig Huneke and Vivek
Mukundan.
Friday November 1, 2019 at 2:00 PM in 427 SEO