Speaker
Andreas Holmsen
(KAIST)
Description
The study of geometric transversals deals with generalizations of Helly's theorem. Instead of intersecting convex sets by points, we now wish to intersect convex sets by $k$-dimensional affine flats. The modern development of Helly type theorems (colorful, fractional, $(p,q)$ versions) has given rise to a number of new questions about general geometric transversals. In this talk I will survey some recent results and highlight some of the interesting problems in the area. This is based in part on joint work with Otfried Cheong and Xavier Goaoc.
