04.12.2018 um 16:00 Uhr in 69/125:
Francesco Galuppi (MPI Leipzig)
Signature varieties and rough paths
Given a continuous path X, we can associate to it a tensor, called its signature. When X runs among a given class of path (e.g. polynomial, piecewise linear, etc), the signature of X parametrizes an algebraic variety. The geometry of this variety reflects some of the properties of the chosen class of path. The most important example is the class of rough paths, that are widely studied in stochastic analysis. Their signature variety presents many similarities to the Veronese variety, and we'll illustrate the first nice results, as well as some open questions.
04.12.2018 um 17:15 Uhr in 69/125:
Bogdan Ichim (University of Bucharest, Romania)
Polytope volume by descent in the face lattice and applications in social choice
We present the computation of polytope volumes by descent in the face lattice and applications to voting theory where polytope volumes appear as probabilities of certain paradoxa