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

Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics, and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. (See website for more details.)

Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space; i.e., the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last forty years to the analysis of singular spaces, integral geometry, nonlinear equations, scattering theory,... This program will bring together researchers from various parts of the field to facilitate the transfer of ideas, and will also provide a comprehensive introduction to the field for postdocs and graduate students.

Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In this introductory workshop, we will bring junior and senior researchers from this diverse range of subjects together in order to explore common themes and unexpected connections.

American Institute of Mathematics

This workshop, sponsored by AIM and the NSF, will be devoted to the interplay between deep learning and partial differential equations.

Mathematical Sciences Research Institute (MSRI), Berkeley

Microlocal analysis provides tools for the precise analysis of problems arising in areas such as partial differential equations or integral geometry by working in the phase space, i.e. the cotangent bundle, of the underlying manifold. It has origins in areas such as quantum mechanics and hyperbolic equations, in addition to the development of a general PDE theory, and has expanded tremendously over the last 40 years.

SEARCDE promotes research and education in the field of differential equations by bringing together beginning and established researchers for sharing research experiences, exchanging ideas, and discussing recent developments in the field. From its origin in 1981 at Virginia Tech, the conference has rotated among the institutions in the southeast region of the United States. The conference represents diversity in the theory, applications, modeling and scientific computations of differential equations including PDEs arising from physical sciences, geophysical sciences, engineering, biological sciences, medical sciences, business, economics and social sciences.

Email: dbsearcd@erau.edu

Society for Industrial and Applied Mathematics – SIAM

The primary goal of this conference is to bring together scientists and mathematicians working in partial differential equations and related fields. Contemporary challenges raised by recent advances in engineering, industry, and bio-technology, will be confronted with state-of-the-art mathematical and computational tools in PDE. Some of the topics covered in this meeting can be found in the list of themes below. Advanced graduate students and young researchers are encouraged to participate. Limited funding is available for graduate students and recent PhDs.

Analysis,    Applied Mathematics (in general)

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

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