Tuesday, May 13, 2025

2025-05-16 / 10:00 ~ 11:00

학과 세미나/콜로퀴엄 - 박사논문심사: Time-asymptotic behavior toward viscous shocks for Compressible Navier-Stokes equations

by 이호빈()

2025-05-16 / 09:00 ~ 10:00

학과 세미나/콜로퀴엄 - 박사논문심사: 1차원 압축성 Navier–Stokes–Korteweg 방정식에서 점성–분산 충격파 및 복합파의 시간 점근적 안정성

by 한성호(KAIST)

2025-05-20 / 10:00 ~ 11:30

학과 세미나/콜로퀴엄 - 위상수학 세미나:

by ()

If M is a hyperbolic 3-manifold fibering over the circle, then the fundamental group of M acts faithfully by homeomorphisms on a circle—the circle at infinity of the universal cover of the fiber—preserving a pair of invariant (stable and unstable) laminations. Many different kinds of dynamical structures including taut foliations and quasigeodesic or pseudo-Anosov flows are known to give rise to universal circles—a circle with a faithful action of the fundamental group preserving a pair of invariant laminations—and those universal circles play a key role in relating the dynamical structure to the geometry of M. In my minicourse and in my colloquium talk, I will introduce the idea of *zippers*, which give a new and direct way to construct universal circles, streamlining the known constructions in many cases, and giving a host of new constructions in others. In particular, zippers—and their associated universal circles—may be constructed directly from homological objects (uniform quasimorphisms), causal structures (uniform left orders), and many other structures.

2025-05-19 / 16:00 ~ 17:30

학과 세미나/콜로퀴엄 - 위상수학 세미나:

by ()

2025-05-15 / 14:30 ~ 15:30

학과 세미나/콜로퀴엄 - 정수론:

by 선해상(울산과학기술)

I will discuss how to study the mod p non-vanishing problem for Dirichlet L-values with characters whose kernels are unbounded as the conductors grow. Main ingredients are a dynamical reformulation of the problem using a variant of trace defined by Poisson kernel and a study on the spectral properties of transfer operators related to p-Bernoulli map on the interval. This is ongoing research joint with A. Burungale.

2025-05-16 / 14:00 ~ 15:30

학과 세미나/콜로퀴엄 - 기타: Introduction to Homotopical Algebra through Model Categories II

by Naing Zaw Lu(KAIST)

(This is part of the reading seminar given by the undergrad student Mr. Naing Zaw Lu for his Individual Study project.) This is an introductory talk on homotopy theory in model categories. Over the course of three lectures, we will familiarize ourselves with model categories, see how powerful cofibrant/fibrant objects can be, and build up the tools necessary to define the (Quillen) homotopy category of a model category.

2025-05-20 / 16:00 ~ 17:00

학과 세미나/콜로퀴엄 - 박사논문심사: 칼로제로-모저 미분 비선형 슈뢰딩거 방정식에 대한 폭발 역학에 대하여

by 김태규()

2025-05-15 / 15:00 ~ 16:00

학과 세미나/콜로퀴엄 - 위상수학 세미나:

by ()

A knot bounds an oriented compact connected surface in the 3-sphere, and consequently in the 4-ball. The 4-genus of a knot is the minimal genus among all such surfaces in the 4-ball, and the 4-genus of a link is defined analogously. In this talk, I will discuss lower bounds on the 4-genus derived from Cheeger-Gromov-von Neumann rho-invariants. This is joint work with Jae Choon Cha and Min Hoon Kim.

2025-05-20 / 16:00 ~ 17:00

SAARC 세미나 - SAARC 세미나:

by 윤상두()

In this talk, we will discuss the current state and future prospects of multimodal AI. In particular, we will focus on the key challenges in ensuring reliability and efficiency in multimodal AI, explaining why addressing these factors is crucial for the successful real-world deployment of next-generation intelligent systems.

2025-05-19 / 16:00 ~ 17:30

편미분방정식 통합연구실 세미나 - 편미분방정식: Existence and uniqueness of global strong solutions for one-dimensional compressible navier-stokes equations

by 은남현()

Abstract: In this talk, we discuss the global-in-time existence of strong solutions to the one-dimensional compressible Navier-Stokes system. Classical results establish only local-in-time existence under the assumption that the initial data are smooth and the initial density remains uniformly positive. These results can be extended to global-in-time existence using the relative entropy and Bresch-Desjardins entropy under the same hypotheses. This approach allows for possibly different end states and degenerate viscosity. Reference: A. Mellet and A. Vasseur, Existence and uniqueness of global strong solutions for one-dimensional compressible Navier-Stokes equations. SIAM J. Math. Anal., 39(4):1344–1365, 2007/08.

2025-05-13 / 16:30 ~ 17:30

IBS-KAIST 세미나 - 이산수학: The structure of △(1, 2, 2)-free tournaments

by Seokbeom Kim(KAIST & IBS Discrete Mathematics Group)

Given a tournament $S$, a tournament is $S$-free if it has no subtournament isomorphic to $S$. Until now, there have been only a small number of tournaments $S$ such that the complete structure of $S$-free tournaments is known. Let $\triangle(1, 2, 2)$ be a tournament obtained from the cyclic triangle by substituting two-vertex tournaments for two of its vertices. In this talk, we present a structure theorem for $\triangle(1, 2, 2)$-free tournaments, which was previously unknown. As an application, we provide tight bounds for the chromatic number as well as the size of the largest transitive subtournament for such tournaments. This talk is based on joint work with Taite LaGrange, Mathieu Rundström, Arpan Sadhukhan, and Sophie Spirkl.

2025-05-15 / 16:15 ~ 17:15

학과 세미나/콜로퀴엄 - 콜로퀴엄:

by 선해상(UNIST 수리과학과)

Arithmetic of Elliptic curves, one of fundamental research themes in modern number theory, is encoded in the special values of elliptic L-functions. For example, Mazur-Rubin heuristics on the distribution of the special L-values predict the behavior of ranks of elliptic curves. The average version of the heuristics was proved by several researchers including myself several years ago. In the talk, I will present how to use the dynamics of continued fractions to study the problem and introduce an approach to study the original problem, i.e., non-average version, after introducing a classical result, so-called Lochs' theorem, which compares entropies of two distinct dynamical systems.

Events for the 취소된 행사 포함