The topics may be different every year. The plan for 2019/2020 is the following:
Convexly independent subsets
Halving lines
Complexity of the lower envelope of segments, Davenport–Schinzel sequences
Fractional Helly theorem, colorful Caratheodory theorem, Tverberg theorem
Possibly other topics
Continuation of DMI009. The contents of this course varies over the years; usually several topics in discrete and computational geometry are covered in more depth.