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# Seunghun Lee (이승훈), Inscribable order types

## August 1 Monday @ 4:30 PM - 5:30 PM KST

Room B332,
IBS (기초과학연구원)

We call an order type *inscribable* if it is realized by a point configuration where all extreme points are all on a circle. In this talk, we investigate inscribability of order types. We first show that every simple order type with at most 2 interior points is inscribable, and that the number of such order types is $\Theta(\frac{4^n}{n^{3/2}})$. We further construct an infinite family of minimally uninscribable order types. The proof of uninscribability mainly uses Möbius transformations. We also suggest open problems around inscribability. This is a joint work with Michael Gene Dobbins.