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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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May
2024
2024 . 05
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.

2024-04-29 ~ 2024-04-29
14:00~16:00
Math bldg. 404
조성문
16:15~18:15
Director’s Seminar
(세미나)Director’s Seminar

Title : Symplectic approach to Milnor fibers of surface singularities

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

2024-04-29 ~ 2024-04-29
16:15~18:15
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"
2024-04-30 ~ 2024-04-30
11:00~12:00
Math bldg. 404
조성문
16:15~18:15
Algebric Geometry Seminar
(세미나)Algebric Geometry Seminar

Title : Curvature of Direct Images and Infinitestimal Deformations

Speaker : Luca Lizzi (IBS Center for Geometry and Physics)

2024-04-30 ~ 2024-04-30
16:15~18:15
IBS POSTECH Campus Bldg. #301 Auditorium
16:00~17:30
CM2LA YOUNG IL colloquium
(세미나)CM2LA YOUNG IL colloquium

Title : Posterior concentration rates of Bayesian deep neural networks

Speaker : Prof. Yongdai Kim (Seoul National University)

2024-05-01 ~ 2024-05-01
16:00~17:30
Math Bldg.404&Online streaming (Zoom)
16:15~18:15
CGP Seminar
(세미나)CGP Seminar

Title : Classification of neighbourhoods around leaves of a singular foliation

Speaker : Simon-Raphael Fischer (National Center for Theoretical Sciences)

2024-05-02 ~ 2024-05-02
16:15~18:15
IBS POSTECH Campus Bldg. #301 Auditorium
17:30~18:00
2024 Spring POSTECH-PMI Number Theory Seminar
(세미나)2024 Spring POSTECH-PMI Number Theory Seminar

Title : Generating series of complex multiplication cycles

Speaker : Professor. Andreas Mihatsch (Bonn University, Germany)

2024-05-02 ~ 2024-05-02
17:30~18:00
online
15:00~17:00
2024-1 Math Colloquium
(세미나)2024-1 Math Colloquium

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
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
15:00~17:00
Can we infer the distribution function included in the differential equation
(콜로퀴움)Can we infer the distribution function included in the differential equation

Title : Can we infer the distribution function included in the differential equation

Speaker : Hyeontae Jo (Korea University Sejong Campus)

2024-05-24 ~ 2024-05-24
15:00~17:00
Math bldg. 404
15:00~17:00
Theory guided machine learning for partial differential equations
(콜로퀴움)Theory guided machine learning for partial differential equations

Title : Theory guided machine learning for partial differential equations

Speaker : Youngjoon Hong (KAIST)

2024-05-31 ~ 2024-05-31
15:00~17:00
Math bldg. 404

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