Speaker: **Oleksii Rudenko **(Institute of Mathematics of NAS of Ukraine)

Topic: **Multiple intersections and potentials for several independent Brownian motions in Carnot groups**

Abstract: *It is well-known that a hitting probability of Markov process can be represented as a potential of some measure. Moreover there are several results relating the probability for the product of trajectories of several independent Markov processes to hit a set to some integrals involving the product of potentials. *

*In this talk we discuss these relations and consider some estimates of the corresponding integrals for Brownian motion in Carnot group.*