Time

Nov 5 2009 - 3:30pm - 4:30 pm

Location

CC246

Speaker

Hans Schoutens (NYC College of Technology, visiting OSU)

Abstract

Using the schemic Grothendieck rings introduced in my earlier talks, I will describe a new variant of motivic integration on a scheme of finite type over an algebraically closed field via the notion of arc formula(ry). In certain cases (linear singularities), this will lead to a new, characteristic-free proof of the motivic rationality of the geometric Igusa zeta series of a hypersurface, by means of a simple algorithm.