Epsilon multiplicity for graded algebras

Wednesday, April 29, 2020 - 4:00pm
Zoom presentation
Suprajo Das
(MU Math)

Abstract: The notion of epsilon multiplicity was originally defined by Ulrich and Validashti
as a limsup and they used it to detect integral dependence of modules. It is important
to know if it can be realized as a limit. The purpose of our thesis is to show that
the relative epsilon multiplicity of reduced standard graded algebras over an excellent
local ring exists as a limit. We also obtain some important special cases of Cutkosky's
results concerning epsilon multiplicity, as corollaries of our main theorem.

The interested audience can email Suprajo at sdpw6@mail.missouri.edu to get the zoom meeting link.