KAIST Math Graduate Student Seminar (KMGS)

The 16th KMGS will be held on March 16th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Wonyong Jang(장원용) from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] Wonyong Jang(장원용) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Hyungryul Baik (백형렬 교수님)
[Title] On the freeness of groups generated by two parabolic matrices
[Discipline] Geometric Group Theory
[Abstract]
For complex number $\alpha$, let $ A = \begin{bmatrix}
1 & 1 \ 0 & 1
\end{bmatrix}$ and
$B = \begin{bmatrix}
1 & 0 \ \alpha & 1
\end{bmatrix} $
be two parabolic matrices and let $G_\alpha$ be the group generated by these two matrices.
Determining whether $G_\alpha$ is the free group rank 2 or not, is one of the important problems.
In this talk, I will introduce a geometric aspect of the group $G_\alpha$ and give previous results of the problem.
Next, I will introduce my work joint with KyeongRo Kim.
[Language] Korean

We are informing you of the schedule of the KAIST Math Graduate student Seminar(KMGS) 2023 Spring. We look forward to your attention and participation!

In this seminar, 6 talks will be held on Thursday from 11:50 to 12:40 in Room 1501 on the first floor of the Natural Science Building(E6-1).

Lunch will be provided after each talk.
Please apply through the QR code on the poster.

The 15th KMGS will be held on December 1st, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Yeongjong Kim(김영종) from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] Yeongjong Kim(김영종) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Sanghoon Baek (백상훈 교수님)
[Title] Linear algebraic groups and related structures
[Discipline] Algebraic Geometry
[Abstract] In this talk, I will give a brief introduction of what a linear algebraic group is and how it is structured. Then I will talk about the Galois descent related to linear algebraic groups. At last, I will explain what a torsor is and how it is related to other algebraic structures.
[Language] Korean (English if it is requested)

The 14th KMGS will be held on November 17th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Junseok Kim (김준석) from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.

Slot (AM 11:50~PM 12:30)
[Speaker] Junseok Kim (김준석) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Hyungryul Baik (백형렬 교수님)
[Title] Hyperbolicity in Groups
[Discipline] Geometric Group Theory
[Abstract] Geometric group theory concerns about how to see geometric properties in finitely generated groups. Defining Cayley graph of a finitely generated group with respect to finite generating set gives a perspective to describe geometric properties of finitely generated groups. Once we get a geometric perspective, we can classify finitely generated groups via quasi-isometry, since two Cayley graphs are quasi-isometric. In this talk, we will explain some basic notions appeared in geometric group theory (for example, quasi-isometry, hyperbolic groups, Švarc–Milnor lemma) and some theorems related to (relative) hyperbolicity of groups.
[Language] Korean