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05/31 15:00 Youngjoon Hong (KAIST)

Title : Theory guided machine learning for partial differential equationsSpeaker : Youngjoon Hong (KAIST)

05/24 15:00 Hyeontae Jo (Korea University Sejong Campus)

Title : Can we infer the distribution function included in the differential equationSpeaker : Hyeontae Jo (Korea University Sejong Campus)

05/03 15:00 Dohyun Kwon (University of Seoul)

Title : De Giorgi's Minimizing MovementsSpeaker : Dohyun Kwon (University of Seoul)Abstract : The study of gradient flows holds significant importance across various fields, including partial differential equations, optimization, and machine learning. In this talk, we aim to explore the relationship between gradient flows and their time-discretized formulations, known as De Giorgi's minimizing movements scheme. We focus on how De Giorgi's minimizing movements coincide with gradient flows in two different spaces: the space of sets and the space of probability measures called Wasserstein space. Then, we discuss their implications for the well-posedness and long-time behavior of some PDEs, including mean curvature flow and the nonlinear Fokker-Planck equation.

04/26 15:00 Ki-Ahm Lee (Seoul National University)

Title : Degenerate/Singular Partial Differential EquationsSpeaker : Ki-Ahm Lee (Seoul National University)Abstract : In this talk, we are going to consider various degenerate or singular operatorin partial differential equations related to free boundary problems and mathematical finance.We will discuss its underlined geometry and how the generalized polynomials appears in the regularity theory.

04/05 15:00 Kyeong Hun Kim (Korea university)

Title : Parabolic PDEs and SPDEs with space-time non-local operatorsSpeaker : Kyeong Hun Kim (Korea University)Abstract : Parabolic equations are related to time dependent natural phenomena. For instance, the classical heat equation with local operators describes the normal diffusion. On the other hand, the description of abnormal diffusion and randomly moving particles with jumps requires the use of non-local operators.In this talk, I will give a short introduction to the parabolic PDEs and stochastic PDEs having non-local operators with respect to time and space variables.

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Mar
2024
2024 . 03
14:00~16:00
2024 spring number theory learning seminar
(세미나)2024 spring number theory learning seminar

Title : Perverse sheaves

Speaker : 

Abstract: The goal of this learning seminar is to understand the concept of perverse sheaves. We will discuss various theorems associated with perverse sheaves and their applications.

Reference

1: Perverse sheaves and the topology of algebraic varieties, by Mark Andrea A. de Cataldo (IAS/Park City Mathematics Series https://www.math.stonybrook.edu/~mde/MyPublishedPapers/PCMI_2015_Lecture_Notes.pdf).

2: More To be added later.

 

2024-02-26 ~ 2024-02-26
14:00~16:00
Math bldg. 404
조성문
17:00~18:00
Eastern Hemisphere Colloquium on Geometry and Physics (EHCGP)
(세미나)Eastern Hemisphere Colloquium on Geometry and Physics (EHCGP)

Title : KP integrability through the x−y swap relation

Speaker : Alexander Aleksandrov (IBS Center for Geometry and Physics)

* Pre-registration is required on cgp.ibs.re.kr

2024-02-28 ~ 2024-02-28
17:00~18:00
Online Streaming
14:00~16:00
2024 spring number theory learning seminar
(세미나)2024 spring number theory learning seminar

Title : Perverse sheaves

Speaker : 

Abstract: The goal of this learning seminar is to understand the concept of perverse sheaves. We will discuss various theorems associated with perverse sheaves and their applications.

Reference

1: Perverse sheaves and the topology of algebraic varieties, by Mark Andrea A. de Cataldo (IAS/Park City Mathematics Series https://www.math.stonybrook.edu/~mde/MyPublishedPapers/PCMI_2015_Lecture_Notes.pdf).

2: More To be added later.

 

2024-03-04 ~ 2024-03-04
14:00~16:00
Math bldg. 404
조성문
16:00~17:00
CM2LA - Geometric Analysis Seminar>
(세미나)CM2LA - Geometric Analysis Seminar>

Title : Topology and geometry of metrics of positive intermediate curvature

Speaker : Florian Johne (University of Freiburg)

Abstract : The notion of m-intermediate curvature interpolates between Ricci curvature and scalar curvature. In this talk we describe extentions of classical results by Bonnet--Myers and Schoen--Yau to the setting of $m$-intermediate curvature:
A non-existence result for metrics of positive m-intermediate curvature on manifolds with topology $N^n = \mathbb{T}^m \times\mathbb{S}^{n-m}$; a gluing result for manifolds with $m$-convex boundary; inheritance of spectral positivity along stable minimal hypersurfaces, and estimates for the $m$-diameter for uniform positive lower bounds. This talk is partially based on joint work with Simon Brendle and Sven Hirsch, and joint work with Aaron Chow and Jingbo Wan.

2024-03-06 ~ 2024-03-06
16:00~17:00
Math Bldg #313
15:00~17:00
2024-1 Math Colloquium
(세미나)2024-1 Math Colloquium

Title : Enumerative geometry of curves and surfaces

Speaker : Young-Hoon Kiem  (KIAS)

Abstract : Enumerative geometry is the study of questions like “How many geometric figures of fixed topological type satisfy certain given conditions?” It is one of the oldest subjects in mathematics dating back to Apollonius, 22 centuries ago. In 1900, Hilbert included the Schubert calculus, enumerative geometry of linear subspaces, as the fifteenth in his famous list of 23 problems for the coming century. About 30 years ago, enumerative geometry of curves was revolutionized by conjectures generated by string theory, many of which are now firmly established mathematical theorems. By a technical breakthrough only a few years ago, we now have a modern surface counting theory. In this colloquium, I’d like to convey some of the key ideas in classical and modern enumerative geometry. 

2024-03-08 ~ 2024-03-08
15:00~17:00
IBS POSTECH Campus Bldg. #301 Auditorium
15:00~17:00
Enumerative geometry of curves and surfaces
(콜로퀴움)Enumerative geometry of curves and surfaces

Title : Enumerative geometry of curves and surfaces

Speaker : Young-Hoon Kiem (KIAS)

Abstract : Enumerative geometry is the study of questions like “How many geometric figures of fixed topological type satisfy certain given conditions?” It is one of the oldest subjects in mathematics dating back to Apollonius, 22 centuries ago. In 1900, Hilbert included the Schubert calculus, enumerative geometry of linear subspaces, as the fifteenth in his famous list of 23 problems for the coming century. About 30 years ago, enumerative geometry of curves was revolutionized by conjectures generated by string theory, many of which are now firmly established mathematical theorems. By a technical breakthrough only a few years ago, we now have a modern surface counting theory. In this colloquium, I’d like to convey some of the key ideas in classical and modern enumerative geometry. 

2024-03-08 ~ 2024-03-08
15:00~17:00
Math bldg. 404
15:00~17:00
Regularity results for very degenerate elliptic and parabolic equations related to matrix weights
(콜로퀴움)Regularity results for very degenerate elliptic and parabolic equations related to matrix weights

Title : Regularity results for very degenerate elliptic and parabolic equations related to matrix weights 

Speaker : Sun-Sig Byun (서울대학교)

2024-03-15 ~ 2024-03-15
15:00~17:00
Math bldg. 404
15:00~17:00
Group theoretic understanding of manifold diffeomorphism groups
(콜로퀴움)Group theoretic understanding of manifold diffeomorphism groups

Title : Group theoretic understanding of manifold diffeomorphism groups

Speaker : Sang-hyun Kim (KIAS)

2024-03-22 ~ 2024-03-22
15:00~17:00
Math bldg. 404
15:00~17:00
Introduction to Kudla's program--a survey on how to Fourier transform geometric objects.
(콜로퀴움)Introduction to Kudla's program--a survey on how to Fourier transform geometric objects.

Title : Introduction to Kudla's program--a survey on how to Fourier transform geometric objects.

Speaker : Yousheng Shi (Zhejiang university)

2024-03-29 ~ 2024-03-29
15:00~17:00
Math bldg. 404
15:00~17:00
Parabolic PDEs and SPDEs with space-time non-local operators
(콜로퀴움)Parabolic PDEs and SPDEs with space-time non-local operators

Title : Parabolic PDEs and SPDEs with space-time non-local operators

Speaker : Kyeong Hun Kim (Korea University)

Abstract : Parabolic equations are related to time dependent natural phenomena. For instance, the classical heat equation with local operators describes the normal diffusion. On the other hand, the description of abnormal diffusion and randomly moving particles with jumps requires the use of non-local operators.
In this talk, I will give a short introduction to the parabolic PDEs and stochastic PDEs having non-local operators with respect to time and space variables.

2024-04-05 ~ 2024-04-05
15:00~17:00
Math bldg. 404

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