Month: October 2024

The 38th KMGS will be held on October 31, Thursday, at the Natural Science Building (E6-1) Room 3438.We invite a speaker Yun Min Song from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

[Speaker] 송윤민 (Yun Min Song) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 김재경, Jae Kyoung Kim

[Title] Personalized Digital Medicine for Mood & Sleep disorders using mathematical models

[Discipline] Mathematical Biology

[Abstract]
Mood and sleep disorders are common in today’s society, often linked to irregular sleep patterns and disrupted circadian rhythms. However, it is difficult to measure circadian rhythms directly, making the relationship between these factors unclear. In this talk, we show how mathematical models, applied to data from wearable devices, can help predict changes in circadian rhythms and clarify the connection between sleep patterns and mood. We also discuss the potential for using these models to develop personalized digital treatments for mood and sleep disorders.[Language] Korean but English if it is requested

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