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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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Apr
2024
2024 . 04
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.

2024-04-01 ~ 2024-04-01
14:00~16:00
Math bldg. 404
조성문
17:00~18:30
Post-Doc Lecture Series>
(세미나)Post-Doc Lecture Series>

Title : Cluster Algebras and Poisson Geometry I

Speaker : Dmytro Voloshyn (IBS Center for Geometry and Physics)

2024-04-01 ~ 2024-04-01
17:00~18:30
IBS POSTECH Campus Bldg. #301 Auditorium
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"
2024-04-02 ~ 2024-04-02
11:00~12:00
Math bldg. 404
조성문
17:00~18:30
Post-Doc Lecture Series
(세미나)Post-Doc Lecture Series

Title : Cluster Algebras and Poisson Geometry II

Speaker : Dmytro Voloshyn (IBS Center for Geometry and Physics)

2024-04-03 ~ 2024-04-03
17:00~18:30
IBS POSTECH Campus Bldg. #301 Auditorium
17:00~18:00
From classical to quantum integrability
(세미나)From classical to quantum integrability

Title : From classical to quantum integrability

Speaker : Sylvain Carpentier (Senior Researcher at QSMS, Seoul National University)

Abstract : Integrable systems are universal in mathematical physics. Their non chaotic behaviour is due to their large group of symmetries. With my collaborators A. Mikhailov and J.P Wang, we propose a new method of quantization for classical integrable systems. This recipe does not use the traditional language of R matrices and is based on a free associative lift of the system. We will first describe the classical structures relevant to the quantization method, and discuss our joint work with U. Such on W algebras.

2024-04-04 ~ 2024-04-04
17:00~18:00
Math bldg. 404
17:00~18:30
Post-Doc Lecture Series>
(세미나)Post-Doc Lecture Series>

Title : Cluster Algebras and Poisson Geometry III

Speaker : Dmytro Voloshyn (IBS Center for Geometry and Physics)

2024-04-04 ~ 2024-04-04
17:00~18:30
IBS POSTECH Campus Bldg. #301 Auditorium
10:00~12:00
Reading Seminar
(세미나)Reading Seminar

Title : Reading Seminar on quantum entanglement and related topics

Speaker : Yong-Geun Oh (IBS Center for Geometry and Physics) 

2024-04-05 ~ 2024-04-05
10:00~12:00
IBS POSTECH Campus Bldg. #301 Auditorium
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
2024-1 Math Colloquium
(세미나)2024-1 Math Colloquium

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

Speaker : Kyeong Hun Kim (Korea Univ)

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
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
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.

2024-04-08 ~ 2024-04-08
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"
2024-04-09 ~ 2024-04-09
11:00~12:00
Math bldg. 404
조성문
10:00~12:00
Reading Seminar
(세미나)Reading Seminar

Title : Reading Seminar on quantum entanglement and related topics

Speaker : Yong-Geun Oh

2024-04-12 ~ 2024-04-12
10:00~12:00
IBS POSTECH Campus Bldg. CGP Delta
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.

2024-04-15 ~ 2024-04-15
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"
2024-04-16 ~ 2024-04-16
11:00~12:00
Math bldg. 404
조성문
15:00~17:00
Degenerate/Singular Partial Differential Equations
(콜로퀴움)Degenerate/Singular Partial Differential Equations

Title : Degenerate/Singular Partial Differential Equations

Speaker : Ki-Ahm Lee (Seoul National University)

Abstract : In this talk, we are going to consider various degenerate or singular operator
in 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.

2024-04-26 ~ 2024-04-26
15:00~17:00
Math bldg. 404
15:00~17:00
De Giorgi's Minimizing Movements
(콜로퀴움)De Giorgi's Minimizing Movements

Title : De Giorgi's Minimizing Movements

Speaker : 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.

2024-05-03 ~ 2024-05-03
15:00~17:00
Math bldg. 404

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