Meetings/Workshops on Calculus, Differential Equations and Integration in the United States (USA)

Institute for Pure and Applied Mathematics (IPAM), UCLA

Applications that involve HJ PDEs in a high-dimensional (and possibly infinite-dimensional) setting lead to challenging computational problems. Although a large literature is available on HJ PDEs, many challenges remain both from a mathematical and computational point of view. The program will open with one week of tutorials, presented by some of the main organizers. These tutorials will provide an introduction to the major themes of the entire program and connect the themes of the four workshops. The goal is to introduce a common language and build a foundation for the participants of this program who have diverse scientific backgrounds. During the weeks between workshops, participants in residence will develop collaborations; we expect fruitful discussions especially between domain scientists, algorithm developers and pure and applied mathematicians.

Applied Mathematics (in general),    Courses and Events for Math Students and Early Career Researchers

The SouthEastern Analysis Meeting has been established as one of the principal annual events bringing together seasoned scholars and junior researchers to discuss various areas of analysis, including functional analysis, operator theory, complex analysis, harmonic analysis, and their applications.

Analysis,    Applied Mathematics (in general)

Institute for Pure and Applied Mathematics (IPAM), UCLA

Ideas to be explored in the workshop include different computational methodologies for efficient real-time solution of nonlinear HJ equations in reachability, optimal control, and differential games. Ideas such as efficient reduced-complexity computation of optimal control solutions, exploiting structure to decompose the solution space to scalable computations and reduced-complexity feedback structures for efficient implementation of optimal controllers based on available data will be considered.

Applied Mathematics (in general),    Courses and Events for Math Students and Early Career Researchers

Institute for Pure and Applied Mathematics (IPAM), UCLA

This workshop will bring together researchers with background in PDEs, Inverse Problems, and Scientific Computing who are already working in machine learning, along with researchers who are interested in these approaches.

Applied Mathematics (in general),    Courses and Events for Math Students and Early Career Researchers

We propose to organize a week-long workshop on Mean Field Games (MFG) and Applications for which we have a number of goals: (i) to gather together leading researchers in MFG and certain cognate areas (economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics). (ii) to expose new researchers to the promise of the field and its array of challenges, while grounding them in its basic techniques; (iv) to make available to the wider community a series of broad interest talks on MFG.

Part of the Long Program High Dimensional Hamilton-Jacobi PDEs

Institute for Pure and Applied Mathematics (IPAM), UCLA

This week-long workshop on Mean Field Games (MFG) and Applications for has a number of goals: (i) to gather together leading researchers in MFG and certain cognate areas (economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics). (ii) to expose new researchers to the promise of the field and its array of challenges, while grounding them in its basic techniques; (iv) to make available to the wider community a series of broad interest talks on MFG.

Applied Mathematics (in general),    Courses and Events for Math Students and Early Career Researchers

Institute for Pure and Applied Mathematics (IPAM), UCLA

In spite of its flexibility, computing nonlinear problems in random media is very expensive. Hence, in practice, it is needed to consider environments which are small random perturbations of periodic ones, and then to obtain some asymptotic expansion for the ergodic constants. Concrete examples of such phenomena that relate to Hamilton-Jacobi equations are large deviations, front propagation and random walks in random media. The latter strengthens the connection with probability.

Applied Mathematics (in general),    Courses and Events for Math Students and Early Career Researchers

American Institute of Mathematical Sciences (AIMS)

The Conference aims to promote and influence more cooperation, understanding, and collaboration among scientists working in dynamical systems, differential equations and applications. The goals of the meeting are a cross-fertilization of ideas from different application areas, and increased communication between the mathematicians who develop dynamical systems techniques and the applied scientists who use them.

Pure and applied analysis, including differential equations and dynamical systems, in the broadest sense. The application areas are diverse and multidisciplinary, covering areas of applied science and engineering that include biology, chemistry, physics, finance, industrial mathematics and more, in the forms of modeling, computations and simulation.

Systems theory, Control and Automation,    Analysis

Mathematical Sciences Research Institute (MSRI)

The purpose of this two weeks school is to introduce graduate students to the state of the art methods and results in the study of incompressible Euler's equations in general, and water waves in particular. This is a research area which is highly relevant to many real life problems, and in which substantial progress has been made in the last decade.

Courses and Events for Physics Students,    Applied Mathematics (in general)

The University of Alabama in Huntsville

Foundation Professor Yimin Xiao from Michigan State University will lead this conference on the latest developments on random fields from the areas of probability theory, fractals, stochastic partial differential equations, and extreme value theory in a nutshell and present to young researchers and graduate students in probability and related areas.

Florida State University in Tallahassee

Professor Svitlana Mayboroda, University of Minnesota, will lead this conference on recent groundbreaking advances pertaining to connections between analytic, partial differential equations, and geometric properties of multi-dimensional sets.