Speaker: Sergey Fomin, University of Michigan

LECTURE 2: Title: Computing without subtracting (and/or dividing)

Abstract: Algebraic complexity of a rational function can be defined as the minimal number of arithmetic operations required to compute it. Can restricting the set of allowed arithmetic operations dramatically increase the complexity of a given function (assuming it is still computable in the restricted model)? In particular, what can happen if we disallow subtraction and/or division? The talk is based on joint work with D. Grigoriev (Bonn) and G. Koshevoy (Moscow).