Saturday, November 23, 2024

2024-11-27 / 16:00 ~ 17:00

학과 세미나/콜로퀴엄 - 박사논문심사: 분자 및 행동 수준의 동적 생명현상 이해를 위한 수리모델의 개선 및 응용

by 송윤민()

2024-11-25 / 17:00 ~ 18:00

학과 세미나/콜로퀴엄 - 대수기하학:

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Given two relatively prime positive integers, p < q, Kunz and Waldi defined a class of numerical semigroups which we denote by KW(p, q) consisting of semigroups of embedding dimension n and type n−1 and multiplicity p by filling in the gaps of the semigroup < a, b >. We study these semigroups, give a criterion for these in terms of principal matrices or their critical binomials and generalize the notion to KW(p, q, w) and prove some results and questions. We will discuss their resolutions and Betti Numbers. Most of this is a joint work with Srishti Singh.

2024-11-25 / 15:30 ~ 16:30

학과 세미나/콜로퀴엄 - 대수기하학:

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TBA

2024-11-25 / 14:00 ~ 15:00

학과 세미나/콜로퀴엄 - 대수기하학:

by ()

Let (R,m_R) be a d-dimensional, excellent, normal local ring. A divisorial filtration {I_n} is determined by a divisor D on a normal scheme X determined by blowing up an ideal on R, so that I_n are the global sections of nD. Associated to an m_R-primary divisorial filtration, we have the Hilbert function f(n)=\lambda_R(R/I_n), where \lambda_R is the length of an R-module. We discuss how close or far this function is from being a polynomial, focusing on examples which are constructed and analyzed geometrically.

2024-11-26 / 16:30 ~ 17:30

IBS-KAIST 세미나 - 이산수학: Graphon branching processes and fractional isomorphism

by Eng Keat Hng(IBS 극단 조합 및 확률 그룹)

In 2005, Bollobás, Janson and Riordan introduced and extensively studied a general model of inhomogeneous random graphs parametrised by graphons. In particular, they studied the emergence of a giant component in these inhomogeneous random graphs by relating them to a broad collection of inhomogeneous Galton-Watson branching processes. Fractional isomorphism of finite graphs is an important and well-studied concept at the intersection of graph theory and combinatorial optimisation. It has many different characterizations that involve a range of very different and seemingly unrelated properties of graphs. Recently, Grebík and Rocha developed a theory of fractional isomorphism for graphons. In our work, we characterise inhomogeneous random graphs that yield the same inhomogeneous Galton-Watson branching process (and hence have a similar component structure). This is joint work with Jan Hladký and Anna Margarethe Limbach.

2024-11-29 / 16:30 ~ 17:30

학과 세미나/콜로퀴엄 - 박사논문심사: 계수가 주어진 델타-매트로이드와 쌍선형 형식이 주어진 선형공간

by 김동규()

2024-11-28 / 16:00 ~ 18:00

학과 세미나/콜로퀴엄 - 기타: About birational classification of smooth projective surfaces III

by 김재홍(KAIST)

This is a reading seminar to be given by Mr. Jaehong Kim (a graduate student in the department) on foundations of the intersection theory and the classification theory of complex algebraic surfaces. He will give three 2-hour long talks.

2024-11-29 / 11:00 ~ 12:00

IBS-KAIST 세미나 - IBS-KAIST 세미나:

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Malignant gliomas are highly invasive brain tumors. Recent attention has focused on their capacity for network-driven invasion, whereby mitotic events can be followed by the migration of nuclei along long thin cellular protrusions, termed tumour microtubes (TM). Here I develop a mathematical model that describes this microtube-driven invasion of gliomas. I show that scaling limits lead to well known glioma models as special cases such as go-or-grow models, the PI model of Swanson, and the anisotropic model of Swan. I compute the invasion speed and I use the model to fit experiments of cancer resection and regrowth in the mouse brain. (Joint work with N. Loy, K.J. Painter, R. Thiessen, A. Shyntar).

Events for the 취소된 행사 포함