The Probability Theory usually considers random variables that are systems of numbers and take values ​​from a set where a nonnegative measure is defined.

In order to apply the concept of probability to random variables which are geometric objects (points, lines, geodesics), it is necessary to define the concept of measure for the sets of such elements.

The problem, known as the "Buffon's needle", and the "paradoxes" of Geometric Probability generated by it, served as catalysts for the development of the field of research called "Integral Geometry".

Integral Geometry considers finite sets of geometric elements and measures in spaces of sets that are invariant under the corresponding group of motions.

The seminar will present a brief history of the development of this field of mathematics and its applications.

The course of lectures is aimed at students of the 1st, 2nd and 3rd year, but everyone is welcome.

Organizer
Grinev Dmitry Vasil'evich

Institutions
Centre of Integrable Systems, Yaroslavl