Thursday, October 9, 2025

2025-10-16 / 14:00 ~ 15:00

by 이지현(기초과학원 기하학수리물리연구단)

We investigate compact minimal surfaces in the Einstein-Maxwell theory with both electric and magnetic charges and a negative cosmological constant. A two-sided, embedded and strictly stable minimal surface that maximizes the magnetically charged Hawking mass naturally corresponds to the event horizon of a black hole. Our main theorem shows that the geometry near such a surface is rigid: a neighborhood is isometric to the dyonic Reissner-Nordstrom-Anti-de Sitter space, the canonical model of a charged black hole in Anti-de Sitter spacetime. In addition, we provide an area estimate for the surface that depends only on its topology and the relevant physical parameters.

2025-10-13 / 16:00 ~ 17:30

편미분방정식 통합연구실 세미나 - 편미분방정식:

by (아주대학교)

In this talk, we prove that the inviscid surface quasi-geostrophic (SQG) equation is strongly ill-posed in critical Sobolev spaces: there exists an initial data $H^2(\mathbb{R}^2)$ without any solutions in $L^{\infty}_tH^2$. Then, we introduce similar ill-posedness results for $\alpha$-SQG and two-dimensional incompressible Euler equations. This talk is based on joint works with In-Jee Jeong(SNU), Young-Pil Choi(Yonsei Univ.), Jinwook Jung(Hanyang Univ.), and Min Jun Jo(Duke Univ.).

2025-10-14 / 16:30 ~ 17:30

IBS-KAIST 세미나 - 이산수학: An improved lower bound on the number of edges in list critical graphs via DP coloring

by Ilkyoo Choi(Department of Mathematics, Hankuk University of Fo)

A graph $G$ is (list, DP) $k$-critical if the (list, DP) chromatic number is $k$ but for every proper subgraph $G’$ of $G$, the (list, DP) chromatic number of $G’$ is less than $k$. For $k\geq 4$, we show a bound on the minimum number of edges in a DP $k$-critical graph, and our bound is the first bound that is asymptotically better than the corresponding bound for proper $k$-critical graphs by Gallai from 1963. Our result also improves the best bound on the list chromatic number. This is joint work with Bradshaw, Kostochka, and Xu.

2025-10-15 / 16:00 ~ 17:00

IBS-KAIST 세미나 - IBS-KAIST 세미나:

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