KAIST Math Graduate Student Seminar (KMGS)

We are glad to inform you that our first KMGS will start on November 18th, Thursday, via Zoom and Gather Town.
We invite Ho-Youn Kim from Dept. of Mathematical Sciences, KAIST and Doyoung Choi from Dept. of Mathematical Sciences, KAIST and IBS Center for Complex Geometry (CCG).
The abstracts of two talks are as follows.

1st slot (PM 12:00~12:20)
Speaker: Ho-youn Kim (김호연) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Yong Jung Kim (김용정 교수님)
Title: What is the correct diffusion equation in heterogeneous mediums
Discipline: PDE
Abstract: In the classical diffusion theory, the diffusivity has been regarded as an intrinsic property of particles. However, it can’t explain diffusion phenomena in heterogeneous medium, one of the most famous example is Soret effect. The diffusivity can be changed along different mediums and it arises a question: how can we express heterogeneous diffusion. In this talk, I’ll introduce the heterogeneous diffusion equation we found and give some experimental data verifying this work.
Language: Korean

2nd slot (PM 12:25~12:45)
Speaker: Doyoung Choi (최도영) from Dept. of Mathematical Sciences, KAIST and IBS Center for Complex Geometry (CCG), supervised by Prof. Yongnam Lee (이용남 교수님)
Title: Chern classes of tautological sheaves on Hilbert schemes of points on surface
Discipline: Algebraic Geometry
Abstract: I will introduce some concepts of Chern classes, Hilbert schemes and tautological sheaves on Hilbert scheme of points which is associated to a line bundle on surfaces. Also, I will provide a brief description of Lehn’s work which gives an algorithmic approach of the action of the Chern classes of tautological bundles on the cohomology of Hilbert schemes of points on a smooth surface. His work is based on the framework of Nakajima’s oscillator algebra. At the end, I will present the computation of the top Segre classes of tautological bundles associated to line bundles on $Hilb^n$ up to $n \leq 7$, extending computations of Severi, LeBarz, Tikhomirov and Troshina.
Language: Korean

On November 18th and 25th, dates with colloquiums, we would like to start our first and second seminar.
For our friendly KAIST graduate students in the department of mathematical sciences, if you are interested in delivering a short talk, feel free to send us your abstract via the below email.
On each date, we would organize two slots each of which consists of 20 min talk and 5 min QnA session.
After these slots, there would be a “coffee break” for discussing and communicating with other attendees.

Contact :
Jungho Ahn – junghoahn(at)kaist(dot)ac(dot)kr
Yeongjong Kim – kimyj(at)kaist(dot)ac(dot)kr

The email format is as follows.

Email title: KMGS abstract submission – (NAME)
Email content should contain the following.

• Your name, including English version
• Name of your advisor (If you have been not assigned an advisor, leave a comment “Not yet assigned”.)
• Discipline of your talk (e.g., Analysis, Algebra, Combinatorics, Geometry, AI, etc.)
• Title of the talk
• Abstract of the talk
• Lauguage of the talk (e.g., Korean / English / Korean but English if it is requested)
• Preferred date (e.g., Both of dates, Only Nov. 18, Only Nov.25)
• Your website, if you have.

All disciplines of mathematical sciences would be welcomed and we encourage graduate students to share and discuss their results, even minor results which are not yet published, with each other.
We are free to speak any language during the coffee break session.
In this semester, we expect two days for the seminar, but if many students submit abstracts, there might be some additional seminar during this December.

For more information about the seminar, please visit the “About” menu.