| Lecturer | Pierre-Louis Lions |
|---|---|
| Dept. | Collège de France |
| date | Sep 04, 2012 |
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 nature, the history and the role of such equations. Then, some examples showing the importance of the mathematical analysis (i.e. “understanding”) of those models will be presented, and we shall conclude indicating a few trends and perspectives.
Creation of concepts for prediction models and quantitative trading
Topological aspects in the theory of aperiodic solids and tiling spaces
Regularity of solutions of Hamilton-Jacobi equation on a domain
What is Weak KAM Theory?
Quantum Dynamics in the Mean-Field and Semiclassical Regime
Regularization by noise in nonlinear evolution equations
Mathematical Analysis Models and Siumlations
Entropies on covers of compact manifolds
Counting circles in Apollonian circle packings and beyond
2021-1 Rookies Pitch: Financial Mathematics(전재기), PDE, Kinetic Equation(배기찬)
2021-2 Rookies Pitch: Geometric Topology (김경로)
2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin)
2023-1 Probabilistic Potential Theroy (강재훈)
2023-1 Geometric Toplology (정홍택)
2023-1 Algebraic Combinatorics (김동현)
A new view of Fokker-Planck equations in finite and Infinite dimensional spaces
