Étale and Motivic Homotopy Theory

Finite dimensionality a la Kimura provides a natural context to study conservativity of realizations of Chow motives over a point. The aim of the talk is to study conservativity phenomena in a context which will be more general in two respects: homological and geometrical. As far as the homological aspect of the question is concerned, the right generalization of nite dimensionality turns out to be primality a la Andre-Kahn. The geometrical context that will be studied is that of Beilinson motives over an arbitrary base; it is thanks to that choice that one has at one's disposal an important tool, namely, a weight structure a la Bondarko. Under appropriate hypotheses, the realization can then be shown to be conservative; in fact, it even turns out to be "weight-conservative" in a sense that will be made precise. Time permitting, an application of weight-conservativity to rigidification of certain motivic objects will be sketched.

Donnerstag, den 27. März 2014 um 09.30-10.30 Uhr, in INF288, HS2 Donnerstag, den 27. März 2014 at 09.30-10.30, in INF288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Alexander Schmidt, Jakob Stix