ABHYANKAR 82nd BIRTHDAY CONFERENCE 

SPEAKER: Nathan Moses (Purdue)

TITLE: Explicit Multivariable Meromorphic Series

ABSTRACT: In pursuit of an explicit representation of meromorphic series in
more than one variable, we investigate a lexicographic ordering or the
exponents of the variables.  This creates a new set of functions, which we
call the lexomorphic field, and we compare the lexomorphic field to the
meromorphic field.  It will be shown that there are infinitely many
lexomorphic functions that are algebraically independent over the meromorphic
field. This is a joint work with Shreeram Abhyankar and Nicholas Fireman.