The 37th KMGS will be held on October 10, Thursday, at the Natural Science Building (E6-1) Room 3438.We invite a speaker Dohyeon Lee from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
[Speaker] 이도현 (Dohyeon Lee) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Andreas Holmsen
[Title] Colorful intersecting patterns of convex sets
[Discipline] Combinatorics
[Abstract]
In d-dimensional Euclidean space R^d, any set of d+1 points is linearly dependent, meaning they can be partitioned into two parts, say A and B, such that the subspace spanned by A and B intersect nontrivially. Similarly, d+2 points in R^d have affine dependency, and Radon’s theorem asserts that this dependency gives a partition that their convex hull intersect. In this talk, we will see fundamental results in combinatorial geometry including Tverberg’s, Caratheodory’s, and Helly’s theorem in a linear algebraic point of view. We will also discuss various generalizations of these theorems, including colorful and fractional versions.
[Language] Korean but English if it is requested