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05/24 10:00 Qin Li (Department of Mathematics,University of Wisconsin-Madison)

Title : Mean field theory in Inverse Problems: from Bayesian inference to overparameterization of networksSpeaker : Qin Li(Department of Mathematics,University of Wisconsin-Madison)

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 : Physics-informed neural networks: Fitting a mathematical model to real data using artificial neural networksSpeaker : Hyeontae Jo (Korea University Sejong Campus)Abstract : A dynamical system $y’(t)=f(y)$ can be used to model the evolution of natural or engineered systems. Traditionally, the overall structure of the system $f$ is determined by researchers' insights (experience) or experimental observations (data). However, such insights might fail to capture the system's complexity and nonlinearities due to the limitations in human intuition and experimental precision. In response, data-driven scientific discovery methods have been developed by employing artificial neural networks (ANN). Specifically, ANN is trained to simultaneously fit the system $f$ and the data, called Physics-informed Neural Networks (PINN). In this presentation, we will study 1) the basic idea of the PINN 2) effectiveness of the PINN. Furthermore, we show how we can extend the concept of PINN to real-world dataset, thus understanding the structure of the system $f$.

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.

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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
17:00~18:00
MINDS Seminar
(세미나)MINDS Seminar


Title : Identifying the most common pathway to diabetes in Koreans with a mathematical model and a k-means clustering

Speaker : Ha, Joon (Howard University)

2024-05-07 ~ 2024-05-07
17:00~18:00
Math Bldg.404&Online streaming (Zoom)
17:00~18:00
Eastern Hemisphere Colloquium on Geometry and Physics(EHCGP)
(세미나)Eastern Hemisphere Colloquium on Geometry and Physics(EHCGP)
2024-05-08 ~ 2024-05-08
17:00~18:00
online
10:15~12:00
Reading Seminar
(세미나)Reading Seminar

Title : Reading Seminar on quantum entanglement and related topics

2024-05-10 ~ 2024-05-10
10:15~12:00
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.

2024-05-13 ~ 2024-05-13
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"
2024-05-14 ~ 2024-05-14
11:00~12:00
Math bldg. 404
조성문
12:00~13:00
CM2LA Seminar
(세미나)CM2LA Seminar

Title : Estimating a metabolic parameter during continuous glucose monitoring           

Speaker :  Prof. Ha, Joon (Howard University)

2024-05-14 ~ 2024-05-14
12:00~13:00
Math bldg. 104 & Online streaming (Zoom)
11:00~12:00
CM2LA Stochastic Analysis Seminar
(세미나)CM2LA Stochastic Analysis Seminar

Title : Convergence of the KPZ equation

Speaker : Prof. Xuan Wu (University of Illinois Urbana-Champaign)

2024-05-16 ~ 2024-05-16
11:00~12:00
Math bldg.301
16:00~17:00
CM2LA Geometric Analysis Seminar
(세미나)CM2LA Geometric Analysis Seminar

Title : Thom's gradient conjecture for geometric PDEs

Speaker : Prof. Pei-Ken Hung (University of Illinois Urbana-Champaign)

2024-05-16 ~ 2024-05-16
16:00~17:00
Math bldg.301
16:15~18:15
IBS-CGP Seminar
(세미나)IBS-CGP Seminar

Title : Polyhedral parametrization of canonical bases

Speaker : Gleb Koshevoi (The Institute for Information Transmission Problems Russian Academy of Sciences, IITP RAS)

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

Title : Whittaker coefficients of metaplectic Eisenstein series and multiple Dirichlet series

Speaker : Yanze Chen (University of Alberta)

2024-05-17 ~ 2024-05-17
online
14:15~16:30
Seminar
(세미나)Seminar

Title : Canonical basis, cluster variety, and Riemann's moduli space of curves

Speaker : Hyun Kyu Kim (KIAS)

Abstract : This is an introductory talk on the canonical basis of the algebra of regular functions on a cluster variety. I will start from the basic example of a split algebraic torus, then review a rank 2 example of a cluster variety. Then I will review Riemann's moduli space of curves, the Teichmüller space which is its universal cover, and discuss the cluster variety structure that this space has. I will describe Fock and Goncharov's canonical basis for this case, based on the trace-of-monodromy functions along loops. If time allows, I will discuss quantization, higher rank generalization, and some open questions.

2024-05-17 ~ 2024-05-17
14:15~16:30
Math bldg. 104
15:00~16:00
CM2LA Seminar
(세미나)CM2LA Seminar

Title : Mathematical methods for identifying human influences on weather and climate extremes.

Speaker : Seung-Ki Min (POSTECH)

2024-05-20 ~ 2024-05-20
15:00~16:00
Math bldg. 100 & Online streaming (Zoom)
16:00~17:00
Ph.D. thesis defense
(세미나)Ph.D. thesis defense

Title : Uncertainty quantification of data-driven stochastic pde with physics-informed variational inference.

Speaker : Hyomin Shin (POSTECH Graduate Student)

2024-05-21 ~ 2024-05-21
16:00~17:00
Math bldg. 404
16:15~18:15
Algebric Geometry Seminar
(세미나)Algebric Geometry Seminar

Title : Automorphisms and deformations of regular semisimple Hessenberg varieties

Speaker : Donggun Lee (IBS Center for Complex Geometry)

2024-05-21 ~ 2024-05-21
16:15~18:15
IBS POSTECH Campus Bldg. #301 Auditorium
17:00~18:00
Eastern Hemisphere Colloquium on Geometry and Physics(EHCGP)
(세미나)Eastern Hemisphere Colloquium on Geometry and Physics(EHCGP)

Title : Tetrahedron and 3D reflection equations in integrable systems and quantum cluster algebras.

Speaker : Atsuo Kuniba (University of Tokyo)

2024-05-22 ~ 2024-05-22
17:00~18:00
Online Streaming
16:00~17:00
CM2LA Seminar
(세미나)CM2LA Seminar

Title : Analysis of dynamical systems using “easier” representations

Speaker : Hyukpyo Hong (Department of Mathematics, University of Wisconsin–Madison)

2024-05-23 ~ 2024-05-23
16:00~17:00
Math Bldg.404&Online streaming (Zoom)
2024 Spring POSTECH-PMI Number Theory Seminar
(세미나)2024 Spring POSTECH-PMI Number Theory Seminar

Title : Solvable Lattice Models in Number Theory and Geometry

Speaker : Ben Brubaker(University of Minnesota)

2024-05-24 ~ 2024-05-24
online
10:00~11:00
CM2LA YOUNG IL Colloquium
(콜로퀴움)CM2LA YOUNG IL Colloquium

Title : Mean field theory in Inverse Problems: from Bayesian inference to overparameterization of networks

Speaker : Qin Li(Department of Mathematics,University of Wisconsin-Madison)

2024-05-24 ~ 2024-05-24
10:00~11:00
Online Streaming
10:00~11:00
CM2LA YOUNG IL Colloquium
(세미나)CM2LA YOUNG IL Colloquium

Title : Mean field theory in Inverse Problems: from Bayesian inference to overparameterization of networks.

Speaker : Qin Li(Department of Mathematics,University of Wisconsin-Madison)

2024-05-24 ~ 2024-05-24
10:00~11:00
Online Streaming
15:00~17:00
2024-1 Math Colloquium
(세미나)2024-1 Math Colloquium

Title : Physics-informed neural networks: Fitting a mathematical model to real data using artificial neural networks

Speaker : Hyeontae Jo (Korea University Sejong Campus)

2024-05-24 ~ 2024-05-24
15:00~17:00
Math bldg. 404
15:00~17:00
Physics-informed neural networks: Fitting a mathematical model to real data using artificial neural networks
(콜로퀴움)Physics-informed neural networks: Fitting a mathematical model to real data using artificial neural networks

Title : Physics-informed neural networks: Fitting a mathematical model to real data using artificial neural networks

Speaker : Hyeontae Jo (Korea University Sejong Campus)

Abstract : A dynamical system $y’(t)=f(y)$ can be used to model the evolution of natural or engineered systems. Traditionally, the overall structure of the system $f$ is determined by researchers' insights (experience) or experimental observations (data). However, such insights might fail to capture the system's complexity and nonlinearities due to the limitations in human intuition and experimental precision. In response, data-driven scientific discovery methods have been developed by employing artificial neural networks (ANN). Specifically, ANN is trained to simultaneously fit the system $f$ and the data, called Physics-informed Neural Networks (PINN). In this presentation, we will study 1) the basic idea of the PINN 2) effectiveness of the PINN. Furthermore, we show how we can extend the concept of PINN to real-world dataset, thus understanding the structure of the system $f$.

2024-05-24 ~ 2024-05-24
15:00~17:00
Math bldg. 404
16:30~18:00
Number Theory Seminar
(세미나)Number Theory Seminar

Title : Algebraic proof of modular form inequalities for optimal sphere packings.

Speaker : Seewoo Lee (U.C. Berkeley)

2024-05-27 ~ 2024-05-27
16:30~18:00
Math bldg. 404
14:00~14:30
Master's hesis defense
(세미나)Master's hesis defense

Title : A convolution estimate in Lorentz space for some surfaces of revolution.

Speaker : Son Hyeongjin (POSTECH)

2024-05-28 ~ 2024-05-28
14:00~14:30
Math bldg. #208
16:00~17:30
Many-Body Physics Group Seminar
(세미나)Many-Body Physics Group Seminar

TBA

2024-05-28 ~ 2024-05-28
16:00~17:30
IBS POSTECH Campus Bldg. #301 Auditorium
15:00~16:00
CM2LA Seminar
(세미나)CM2LA Seminar

Speaker : Kug, Jong-Seong (Seoul National University)

2024-05-30 ~ 2024-05-30
15:00~16:00
Math bldg. 404 & Online streaming (Zoom)
15:00~17:00
2024-1 Math Colloquium
(세미나)2024-1 Math Colloquium

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
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
CM2LA Seorabeol Research Station
(세미나)CM2LA Seorabeol Research Station

Title : Workshop in Machine Learning and Numerical Modeling.

2024-05-31 ~ 2024-05-31
Math bldg. 100
CM2LA Seorabeol Research Station
(세미나)CM2LA Seorabeol Research Station

Title : Workshop in Machine Learning and Numerical Modeling

2024-06-01 ~ 2024-06-01
Math bldg. 100

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