Tel-Aviv University
School of Mathematical Sciences

Department Colloquium

Monday, March 12, 2012

Schreiber 006, 12:15

Andreas Bernig

Goethe-Universität, Frankfurt

Algebraic integral geometry

Abstract: We give a survey on a recent algebraic approach to kinematic formulas. The two main notions are that of "valuation" and of "curvature measure". It turns out that the space of valuations is an algebra and the space of curvature measures is a module over this algebra. On isotropic spaces, these algebraic structures are closely related to kinematic formulas. The kinematic formulas on complex space forms have been worked out explicitly (joint work with Joseph Fu and Gil Solanes).

Coffee will be served at 12:00 before the lecture
at Schreiber building 006