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Ilya Smirnov: More questions about Lech’s inequality

Time: Mon 2022-04-11 15.00 - 16.00

Location: Zoom

Video link: Meeting ID: 618 2221 9254

Participating: Ilya Smirnov (BCAM)


Lech’s inequality connects multiplicity and colength, two fundamental invariants of an ideal. Lech showed that the inequality is never sharp in dimension at least 2. I will explain why a sharper inequality might be useful, discuss potential ways to do so, present partial results, and pose open problems.

(The seminar was postponed from Mar 28.)