Wenliang Zhang : Lech Conjecture: an overview

Posted by Wenliang Zhang , part of the Commutative Algebra Seminar.

At

Sept. 26, 2016, 2 p.m.

In

SEO 427

Abstract

In 1960, Lech conjectured that, if R-->S is a flat local map between noetherian local rings, then the Hilbert-Samuel multiplicity of R is less than or equal to the one of S. This conjecture has been open in dimension 3 or higher since then. The purpose of this talk is to give an overview of this conjecture, especially the recent breakthrough made by Linquan Ma in dimension 3.