Artur Bartoszewicz

Artur Bartoszewicz: On the sets of subsums of series

Tuesday, November 29, 2016 17:15

Room: D1-215

Artur Bartoszewicz

Title: On the sets of subsums of series

Abstract. The first observations connected with sets of subsums of series (s.c. achievement sets) belong to Kakeya and are over 100 years old. In my lecture I want to present the story of the studies of the problem and the results obtained by my cooperators and me quite recently. These results concern the series generating Cantorvals, connections between the achievement sets of series and the atractors of affine IFS's and achievement sets of conditionally convergent series in the plane.