Wednesday, September 3, 2025

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

학과 세미나/콜로퀴엄 - 박사논문심사:

by 백주헌(카이스트 수리과학과)

2025-09-09 / 16:00 ~ 17:00

SAARC 세미나 - SAARC 세미나:

by ()

Stochastic Volterra equations (SVEs for short) are useful to model dynamics with hereditary properties, memory effects and roughness of the path, which cannot be described by standard SDEs. However, the analysis of SVEs is much more difficult than the SDEs case since the solutions are no longer Markovian or semimartingales in general. In this talk, we introduce an infinite dimensional framework which captures Markov and semimartingale structures behind SVEs. We show that an SVE can be “lifted” to an infinite dimensional stochastic evolution equation (SEE for short) and that the solution of the SEE becomes a Markov process on a Hilbert space. Furthermore, we establish asymptotic properties and well-posedness results for lifted SEEs, and then apply them to the original SVEs.

2025-09-09 / 16:00 ~ 17:00

SAARC 세미나 - 콜로퀴엄:

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2025-09-05 / 10:00 ~ 12:00

학과 세미나/콜로퀴엄 - Topology, Geometry, and Data Analysis: The Morpho-Kinetic Landscape of Macrophage Modes During Wound Healing in Zebrafish

by 박설아(Slovak University of Technology)

Macrophages play an essential role in wound healing due to their dynamic nature and functional plasticity, exhibiting highly heterogeneous morpho-kinetic behaviors depending on their activation states. However, quantitative analysis of macrophage behavior in in vivo settings remains limited, largely due to the complexity of their diverse morphologies and motility patterns over time. In this study, we present an analytic workflow to investigate macrophage dynamics in zebrafish. By computing a comprehensive set of morpho-kinetic features, we reveal the clear distinctions between M1 (pro-inflammatory) and M2 (anti-inflammatory) macrophages in terms of shape elongation, directional movement, and random-like motion. Based on these features, we classify macrophages in the transition period into M1-like and M2-like groups. We compare and analyze their behaviors, which allows us to estimate the timing of the phenotypic switch. In addition, we analyze the behavior of macrophages that do not express Tumor Necrosis Factor (TNF) and are not stimulated by wound signaling. In summary, this study provides a quantitative analysis of macrophage behavior during wound healing and suggests distinct behavioral landscapes across different macrophage activation states.

2025-09-09 / 16:30 ~ 17:30

IBS-KAIST 세미나 - 이산수학: Symmetry breaking in trees

by Katherine Perry(Soka University of America)

We will discuss two symmetry breaking parameters: distinguishing number and fixing number. Despite being introduced independently, they share meaningful connections. In particular, we show that if a tree is 2-distinguishable with order at least 3, it suffices to fix at most 4/11 of the vertices and if a tree is $d$-distinguishable, $d \geq 3$, it suffices to fix at most $\frac{d-1}{d+1}$ of the vertices. We also characterize the $d$-distinguishable trees with radius $r$, for any $d \geq 2$ and $r \geq 1$. This is joint work with Calum Buchanan, Peter Dankleman, Isabel Harris, Paul Horn, and Emily Rivett-Carnac.

2025-09-03 / 16:00 ~ 17:00

IBS-KAIST 세미나 - IBS-KAIST 세미나:

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2025-09-08 / 16:00 ~ 17:30

편미분방정식 통합연구실 세미나 - 편미분방정식: Strichartz estimates for the linear Schrödinger equation

by 곽범종()

We consider a class of linear estimates for evolution PDEs on the Euclidean space, called Strichartz estimate. Strichartz estimates are well-established for fundamental linear PDEs, such as heat and wave equations. As a simple model of such, we consider the Schrödinger example, introducing classical Strichartz estimates with proofs. Reference Terence Tao, Nonlinear dispersive equations: local and global analysis, Chapter 2.3

2025-09-03 / 16:00 ~ 18:00

학과 세미나/콜로퀴엄 - 위상수학 세미나:

by ()

Given any smooth 4-manifold bounding a Seifert manifold, the Seifert action on its boundary can be used to define their boundary Dehn twists. If the given 4-manifold is simply-connected, this Dehn twist is always topologically isotopic to the identity, but usually not smoothly isotopic, making it a very nice potential example of exotic diffeomorphisms. In this talk, we prove that for any Brieskorn homology sphere bounding a positive-definite 4-manifold, their boundary Dehn twists are always infinite-order exotic. This is a joint work with JungHwan Park and Masaki Taniguchi.

Events for the 취소된 행사 포함