• This event has passed.

Seunghun Lee (이승훈), Inscribable order types

Monday, August 1, 2022 @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)

Speaker

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.

Details

Date:
Monday, August 1, 2022
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:
,

Room B332