1. A new view of Fokker-Planck equations in finite and Infinite dimensional spaces

    Fokker-Planck and Kolmogorov (backward) equations can be interpreted as linearisations of the underlying stochastic differential equations (SDE). It turns out that, in particular, on infinite dimensional spaces (i.e. for example if the SDE i...
    Category수학강연회 소속Bielefeld Univ./Purdue Univ. 강연자Michael Roeckner
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  2. 2021-2 Rookies Pitch: Geometric Topology (김경로)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자김경로
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  3. 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자Kalachand Shuin
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  4. 2023-1 Probabilistic Potential Theroy (강재훈)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자강재훈
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  5. 2023-1 Geometric Toplology (정홍택)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자정홍택
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  6. 2023-1 Algebraic Combinatorics (김동현)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 강연자김동현
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  7. 2021-1 Rookies Pitch: Financial Mathematics(전재기), PDE, Kinetic Equation(배기찬)

    CategoryBK21 FOUR Rookies Pitch 소속BK21 FOUR 강연자전재기, 배기찬
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  8. Counting circles in Apollonian circle packings and beyond

    Counting circles in Apollonian circle packings and beyond
    Category수학강연회 소속Brown Univ. 강연자오희
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  9. Entropies on covers of compact manifolds

    We consider different growth rates associated with the geometry (distance, volume, heat kernel) on a cover of a compact Riemannian manifold. We present general inequalities. We discuss the rigidity results and questions in the case of negati...
    Category수학강연회 소속CNRS (France) 강연자François Ledrappier
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  10. Mathematical Analysis Models and Siumlations

    In this talk, we shall first present several examples of numerical simulations of complex industrial systems. All these simulations rely upon some mathematical models involving Partial Differential Equations and we shall briefly explain the ...
    Category특별강연 소속Collège de France 강연자Pierre-Louis Lions
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  11. Regularization by noise in nonlinear evolution equations

    There are some phenomena called "regularization by noise" in nonlinear evolution equations. This means that if you add a noise to the system, the system would have a better property than without noise. As one of examples, I will explain this...
    Category특별강연 소속Dep. Math., Kyoto Univ. 강연자Yoshio Tsutsumi
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  12. Quantum Dynamics in the Mean-Field and Semiclassical Regime

    The talk will review a new approach to the limits of the quantum N-body dynamics leading to the Hartree equation (in the large N limit) and to the Liouville equation (in the small Planck constant limit). This new strategy for studying both l...
    Category수학강연회 소속Ecole Polytechnique 강연자Francoise Golse
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  13. Regularity of solutions of Hamilton-Jacobi equation on a domain

    Category특별강연 소속ENS-Lyon 강연자Albert Fathi
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  14. What is Weak KAM Theory?

    The goal of this lecture is to explain and motivate the connection between AubryMather theory (Dynamical Systems), and viscosity solutions of the Hamilton-Jacobi equation (PDE). This connection is the content of weak KAM Theory. The talk sho...
    Category특별강연 소속ENS-Lyon 강연자Albert Fathi
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  15. Topological aspects in the theory of aperiodic solids and tiling spaces

    After a review of various types of tilings and aperiodic materials, the notion of tiling space (or Hull) will be defined. The action of the translation group makes it a dynamical system. Various local properties, such as the notion of "Finit...
    Category수학강연회 소속Georgia Institute of Technology, School of Mathematics and School of Physics 강연자Jean V. Bellissard
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  16. Creation of concepts for prediction models and quantitative trading

    Modern mathematics with axiomatic systems has been developed to create a complete reasoning system. This was one of the most exciting mathematical experiments. However, even after the failure of the experiment, mathematical research is still...
    Category수학강연회 소속Haafor 강연자이승환
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  17. Convex and non-convex optimization methods in image processing

    In this talk, we discuss some results of convex and non-convex optimization methods in image processing. Examples including image colorization, blind decovolution and impulse noise removal are presented to demonstrate these methods. Their a...
    Category수학강연회 소속Hong Kong Baptist University 강연자Michael Ng
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  18. The phase retrieval problem

    In many applications such as X-ray Crystallography, imaging, communication and others, one must construct a function/signal from only the magnitude of the measurements. These measurements can be, for example, the Fourier transform of the den...
    Category수학강연회 소속Hong Kong University of Science and Technology 강연자Yang Wang
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  19. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

    Gromov introduced the analytic method of pseudoholomorphic curves into the study of symplectic topology in the mid 80's and then Floer broke the conformal symmetry of the equation by twisting the equation by Hamiltonian vector fields. We sur...
    Category수학강연회 소속IBS, 포항공과대학교 강연자오용근
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  20. 2023-1 Dynamics and Number Theory (이슬비)

    CategoryBK21 FOUR Rookies Pitch 소속IBS-CGP 강연자이슬비
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