# 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)

### Abstract

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.)