Section: New Results

Compact formulae in sparse elimination

Participant : Ioannis Emiris.

This invited talk [12] describes three aspects of constructing compact formulae in toric (or sparse) elimination algebraic theory. We start with the most general existing formula for computing the mixed volume of a square algebraic system, then sketch older and recent progress in matrix formulae for the sparse resultant of an overconstrained system, and conclude with recent work in a matrix formula for the multivariate disccriminant of a specific class of well-constrained systems.