ABHYANKAR 82nd BIRTHDAY CONFERENCE 

SPEAKER: Sudhir Ghorpade (Mumbai)

TITLE: Two miracles about 1-jets of determinantal varieties

Abstract: I will talk about what appears to me as a little miracle
and a not-so-little miracle. These concern the multiplicity and the
Hilbert series of the so called principal component of 1-jets of the
affine algebraic variety given by the vanishing of 2 x 2 minors of
a generic m x n matrix. I will explain what these objects are, discuss
related background and results, which include a beautiful formula
of Abhyankar for the Hilbert function of classical determinantal
varieties, and attempt to give an idea of the two miracles.
    
This is a joint work with Boyan Jonov and Bharath Sethuraman.