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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.

2024-03-07 ~ 2024-03-07
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
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.

2024-03-11 ~ 2024-03-11
14:00~16:00
Math bldg. 404
조성문
16:00~17:00
PDE and Applied Analysis Seminar
(세미나)PDE and Applied Analysis Seminar

Title : Discussion on the regularity and the singularity in the fluid equations with/without the viscosity effect

Speaker : Min Jun Jo (Duke University)

2024-03-12 ~ 2024-03-12
16:00~17:00
Math bldg. 404
장진우
16:00~18:30
IBS-CGP Seminar
(세미나)IBS-CGP Seminar

Title : Enumerative Geometry and Algebraic cycles

Speaker : Ramesh Sreekantan (Indian Statistical Institute)

2024-03-14 ~ 2024-03-14
16:00~18:30
IBS POSTECH Campus Bldg. #301 Auditorium
16:00~18:00
Journal club on stochastic processes for biochemical systems
(세미나)Journal club on stochastic processes for biochemical systems

Title : Solutions of Ordinary Differential Equations as Limits of Pure Jump Markov Processes

Speaker : Jinsu Kim (POSTECH, Math)

2024-03-14 ~ 2024-03-14
16:00~18:00
BK Lounge
17:00~18:00
PSSC Seminar
(세미나)PSSC Seminar

Title : Topological Analysis on Hamiltonian Time-Series Data

Speaker : keunsu Kim (POSTECH, Math)

Abstract : 미분다양체(도형)의 위상수학적인 특성을 추출하는 Morse 이론과 여기에서 파생되는 위상수학적 데이터 분석을 소개한다. 그다음으로 본 연구자가 연구한 Hamiltonian topological time-series analysis에 대해 발표한다. Hamiltonian dynamical system이란 뉴턴 역학과 같은 물리현상을 표현하지만 기술 방법이 다른 시스템이고, Hamiltonian topological time-series analysis란 관측값인 time-series data로부터 Hamiltonian dynamical system의 위상수학적인 패턴을 분석하는 것이다. 

2024-03-14 ~ 2024-03-14
17:00~18:00
Math bldg. 404
09:00~18:00
CM2LA SEMINAR
(세미나)CM2LA SEMINAR
 
Title: The long wavelength limit of Periodic solutions of water wave models
 
Speaker : Hongqiu Chen (University of Memphis)
 
Abstract: It has been common practice for decades to approximate localized solutions of evolution equations set on unbounded spatial domains by solutions of associated periodic initial-value problems. We mention work of Zabusky and Kruskal in the early 1960’s. We don’t doubt that this practice goes back further, though not much further as computers of large enough scale to handle even one-space and one-time dimension problems were not available much earlier. Despite this method’s long history, rigorous theory with error estimates is sparse. It is our purpose to provide theory with error estimates here. This is done in the context of long-crested, surface water wave models. The two models we analyse are both unidirectional, long-wave models. While the theory is concretely attached to these models, one could formulate a more general theory if so desired. The first model is the RLW-BBM model and the second 5 BBM-KdV. The work is joint with J. Bona, Y. Hong, M. Panthee and M. Scialom
2024-03-15 ~ 2024-03-15
09:00~18:00
15:00~17:00
2024-1 Math Colloquium
(세미나)2024-1 Math Colloquium

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

Speaker : Sun-Sig Byun (Seoul National University)

2024-03-15 ~ 2024-03-15
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
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.

2024-03-18 ~ 2024-03-18
14:00~16:00
Math bldg. 404
조성문
11:00~12:00
2024 spring number theory learning seminar 2
(세미나)2024 spring number theory learning seminar 2

Title : 2024 spring number theory learning seminar 2

Speaker : Tom Huh

Abstract: The main object of this seminar is to understand Drinfeld Upper-half Plane and to analyze this using Rapoport-Zink Space.
 
References: 
  1. Stephen Kudla and Michael Rapoport, "An Alternative Description of the Drinfeld p-adic Half-plane"
     
  2. Boutot and Carayol, "P-adic Uniformization of Shimura Curves: The Theorems of Ceredink and Drinfeld"
2024-03-19 ~ 2024-03-19
11:00~12:00
Math bldg. 404
조성문
16:00~17:00
Journal club on stochastic processes for biochemical systems
(세미나)Journal club on stochastic processes for biochemical systems

Title : Solutions of Ordinary Differential Equations as Limits of Pure Jump Markov Processes

Speaker : Jinsu Kim (POSTECH, Math)

2024-03-19 ~ 2024-03-19
16:00~17:00
BK Lounge
16:00~18:00
IBS-CGP Algebraic Geometry Seminar
(세미나)IBS-CGP Algebraic Geometry Seminar

Title : Deformations of weighted homogeneous surface singularities

Speaker : Jaekwan Jeon (IBS Center for Geometry and Physics)

2024-03-19 ~ 2024-03-19
16:00~18:00
IBS POSTECH Campus Bldg. #301 Auditorium
17:00~18:00
MINDS Seminar on Scientific Computing
(세미나)MINDS Seminar on Scientific Computing

Title : Investigating Space Weather with Kinetic Equations and Simulations

Speaker : Youngdae Yoon (APCTP)

Abstract : With the advent of the space era, space weather is increasingly becoming important as its prediction is of paramount importance to the safety of spacecraft and satellites. Much of the decisive dynamics in space weather is determined by solar and terrestrial plasma dynamics. Such dynamics can be described by kinetic equations which can be simulated through particle-in-cell simulations. An overview of selected topics will be presented, including flux rope equilibrium selection, magnetic reconnection onset, and magnetogenesis.

link : https://us06web.zoom.us/j/6888961076?pwd=ejYxN05jNmhUa25PU2JzSUJvQ1haQT09

 

2024-03-19 ~ 2024-03-19
17:00~18:00
Math Bldg.404&Online streaming (Zoom)
14:00~15:00
CM2LA Seminar
(세미나)CM2LA Seminar
Title: How to approximate infinity
 
Speaker: Hongqiu Chen, University of Memphis
 
Abstract:   It has been common practice for decades to approximate localized solutions of evolution equations set on unbounded spatial domains by solutions of associated periodic initial-value problems or Dirichlet problems.  We mention especially the work of Zabusky and Kruskal in the early 1960's, but we don't doubt that this practice goes back further, though not much further as computers of large enough scale to handle even one-space and one-time dimensional problems were not available much earlier.  Despite this method's long history, rigorous theory with error estimates is sparse.  
It is our purpose to sketch theory with error estimates for such methodology here.  This is done in the context of long-crested, surface water wave models.  The two models we analyze are both unidirectional, long-wave models.  While the theory is concretely attached to these models, one could formulate a more general theory if so desired.   
The work is joint with J. Bona, Y. Hong, M. Panthee and M. Scialom, S. Sun and B-Y Zhang
 
2024-03-20 ~ 2024-03-20
14:00~15:00
Math Bldg.404&Online streaming (Zoom)
16:00~17:30
2024 CM2LA YOUNG IL COLLOQUIUM
(세미나)2024 CM2LA YOUNG IL COLLOQUIUM
 
Title : Theory and Application of Model Equations for Long Waves
 
Speaker : Jerry (University of Illinois at Chicago) 
 
Abstract : After a brief review of problems where such models might arise, we go into their derivation and an example of how well they work. We then return to the problems and indicate how they can be approached via these sorts of models.
2024-03-20 ~ 2024-03-20
16:00~17:30
Math bldg. 404
16:00~18:30
IBS-CGP Seminar>
(세미나)IBS-CGP Seminar>

Title : Joint ergodicity of piecewise monotone maps

Speaker : Younghwan Son (POSTECH)

2024-03-21 ~ 2024-03-21
16:00~18:30
IBS POSTECH Campus Bldg. #301 Auditorium
15:00~17:00
IBS CGP-POSTECH Math Colloquium
(세미나)IBS CGP-POSTECH Math Colloquium

Title : Group theoretic understanding of manifold diffeomorphism groups

Speaker : Sang-hyun Kim (KIAS)

Abstract : Given a smooth manifold M equipped with a geometric or analytic structure $\Omega$, the collection of $\Omega$--preserving diffeomorphisms of M naturally form a group denoted as $Diff^r(M,\Omega)$. These groups often exhibit strong rigidity phenomena, even when treated purely as algebraic objects. In this talk, I will focus on two aspects of these groups along this line. (1) The isomorphism types of finitely generated subgroups. (2) The set of true first-order group--theoretical sentences. This talk is based on joint works with Thomas Koberda (UVa) and with Javier de la Nuez-Gonzalez (KIAS)

2024-03-22 ~ 2024-03-22
15:00~17:00
IBS POSTECH Campus Bldg. CGP Delta
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
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.

2024-03-25 ~ 2024-03-25
14:00~16:00
Math bldg. 404
조성문
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
13:00~14:00
Ergodic Theory and Probability
(세미나)Ergodic Theory and Probability
Title: Spectral heat content for isotropic Lévy processes.
 
Speaker: Hyunchul Park (SUNY New Paltz)

Abstract: The spectral heat content (SHC) measures the total heat that remains on a domain when the initial temperature is one and the outside temperature is identically zero. When one replaces the Laplace operator in the heat equation with generators of Lévy processes, one obtains SHC for those Lévy processes. Recently, the two-term asymptotic behavior of SHC for isotropic stable processes on bounded C^{1,1} open sets was investigated by Park and Song (EJP 2022). In this talk, we generalize their result to cover Lévy processes with regularly varying characteristic exponent with index in (1,2]. The proof provides a unified approach to the study of SHC and applies to both Brownian motions and jump processes. This is a joint work with Kei Kobayashi (Fordham University).
2024-04-05 ~ 2024-04-05
13:00~14:00
Math bldg. 404
손영환
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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