An assumption that is often made in physical sciences is that an apparently high-dimensional process can be approximated by a small number of free parameters. Previous IPAM programs have focused on exploring this assumption by using paradigms such as dimension reduction, sparse recovery, clustering and representations with hidden variables, and graphical representation of conditional independence graphical models. This workshop will have a different focus and will explore representation learning for physical systems, i.

The workshop will include methods to summarize and interpret a complicated learned model e. Several fundamental equations from physics describe systems composed of a large number N of interacting particles. These equations play a role in a wide number of fields, such as kinetic theory of gases and plasmas, chemotaxy, population dynamics, etc. Rigorously justifying the convergence of microscopic models describing the evolution of the N particles to mesoscopic or macroscopic nonlinear models in a restricted phase space is a major goal in applied mathematics.

The interactions inside the system may be modelled by either deterministic or stochastic dynamics. It will focus on the study of such particle systems, with an emphasis on mean-fields models with singular interactions, such as the Boltzman, Landau and Keller-Segel equations, as well as systems of conservation laws, which arise as scaling limits of asymmetric particle systems under hyperbolic scaling. 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.

Due to its breadth, it is a challenge for researchers to be aware of what is happening in other parts of the field, and the impact this may have in their own research area. The purpose of this workshop is thus to bring together researchers from different parts of microlocal analysis and its applications to facilitate the transfer of new ideas. Math Matters - Maple in Mathematics Education and Research This conference is dedicated to exploring different aspects of the math software Maple, including Maple's impact on education, new symbolic computation algorithms and techniques, and the wide range of Maple applications.

Molecular Physics is a standout amongst the most prepared teaches and might be the most settled through its thought of Astronomy. Material science crosses with various interdisciplinary domains of research, for example, Astrophysics, Biophysics, Computational Physics, Quantum Chemistry and others.

New musings in Physics every now and again clear up the fundamental parts of different sciences while opening new roads of research. The gathering course of action intends to scatter the movements of research in Theoretical and Molecular physics to the overall gathering by influencing a phase for dynamic venture, to exchange of aptitude and. The Conference will discuss the issues of - infinite dimensional holomorphy, - topological tensor products, - Banach space theory, - operator theory, - topological algebra, - geometric and infinite dimensional topology. This workshop will focus on the two areas of optimal transport and quasi-sure analysis and of machine learning, data science and high-dimensional optimisation, all within the context of mathematical finance.

It brings together experts from mathematical finance and specialists of numerical methods for optimal transport problems and specialists of neural networks and optimisation techniques for AI applications.

Some key goals are to understand the nature of recently obtained results in the latter areas, their connections to mathematical finance, and to discuss the directions that should be explored with priority in the future. This workshop will focus on mathematical-physics questions in the context of Coulomb systems. This includes identifying the relevant one-particle equations as limits of the underlying microscopic highdimensional dynamics as well as the analysis of the limiting equations with singular potentials. Other examples are the dynamic description of ionization, the derivation of effective graphene models, and limiting theorems for time-dependent relativistic Coulomb systems.

This includes the following topics: - stability of matter in atomic and molecular Coulomb systems - derivation and study of mean field equations for large systems of quantum particles - derivation and study of mean field equations for classical particles - Kinetic and related equations - modeling of graphene materials and study of the associated Hamiltonians. This workshop aims to both showcase and develop these connections, including the development of new visualization tools for algebra and number theory. On October, , in Baku, the international scientific Conference "Modern Problems of Mathematics and Mechanics" dedicated to 60 years of the Institute of Mathematics and Mechanics will be held.

The conference aims at bringing together computational scientists from several disciplines to exchange new computational methodology and exciting applications developed recently. A new, annual workshop to engage students in highly relevant mathematics tied to applications that address societal needs. Workshop includes invited presentations, informational panels, roundtable discussions, breakout sessions, and community building activities.

Travel support is available. First-generation college students and students from underrepresented groups in mathematics are especially encouraged to apply. Hosted jointly by Virginia Tech and Clemson University. 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. While each meeting with feature two plenary talks by faculty and one plenary talk from a graduate student from outside of Southern California, the majority of talks will consist of 20 minute contributed talks.

The purpose of these meetings is to establish a community of people interested in number theory in Southern California, to allow faculty at institutions that do not have funds for regular seminars to attend high-quality research talks, and to provide a friendly environment for students and faculty to present their research. Please register before July 31, In recent years the development of deep abstract tools played an increasingly important role for the treatment of evolution equations, due to the increasing complexity of the mathematical models. A main purpose of the conference is to bring together internationally-renowned experts from both applied and abstract fields in order to initialize and catalyze cooperations and to steer theoretical developments into the direction of applied demands in the field of evolution equations.

In the meantime, there is a number of examples for a successful interplay between the development of theoretical tools and applied evolution equations, but up-to-date and future challenges demand many further developments in various directions. The scientific scope of the proposed conference thus comprises applied evolution equations, e.

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Offering statistical guarantees along with the learned models is critical in physics and in areas such as aeronautics, climate science, chemistry, biology, and robotics. We will consider model selection, robust statistics, model-free and adaptive learning, and model validation in the context of both static and dynamic models, such as equations of motion.

The Modern Math Workshop is intended to encourage minority undergraduates to pursue careers in the mathematical sciences and to assist undergraduates, graduate students and recent PhDs in building their research networks.

## AMS :: Mathematics Calendar

Number theory conference on modular forms and arithmetic aiming to strengthen networks for mathematicians from underrepresented groups. In Leon Glass and Michael C. Mackey introduced the idea that certain diseases, termed dynamical diseases, arise because of abnormalities in underlying physiological control mechanisms. This idea was based on the mathematical concept that bifurcations can occur in dynamical systems as certain parameters are changed.

This observation opened the door for "mathematicians at the bedside". Over the last four decades the impact of mathematical insights into human illness has been palpable.

Mathematical insights have provided important insights into the nature of many life threatening illnesses including cardiac and respiratory arrhythmias, epileptic seizures, periodic hematological diseases, falls in the elderly and certain psychiatric illnesses. Thurston maps are orientation-preserving branched covering maps of the two-sphere to itself for which the forward orbits of the branch points form a finite set.

They arise in the classification of complex dynamical systems. Recent work has shown close connections between the combinatorial, topological, and algebraic theory of Thurston maps and that of mapping class groups.

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The algorithmic and computational theories of mapping class groups are highly advanced and have reached the point of effective implementation via computer programs. However, such implementations for Thurston maps are significantly less advanced. The aim of the proposed Hot Topic workshop is to bring together researchers in the computational theory of mapping class groups and those in the combinatorial theory of Thurston maps in order to make headway on fundamental problems.

This workshop, sponsored by AIM and the NSF, will be devoted to problems in combinatorial and geometric rigidity theory arising from modeling of microstructures. One-dimensional actions of 3-manifold groups 4 - 8 November mtriestino.

Sensors and data abound. This spatial and temporal information is supposed to allow a better management -- in new energy systems, transport or eco-industrial parks, to quote a few examples. This leads to problems of large-scale optimization, the formulation of which is delicate.

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Indeed, one needs to take into account at least three dimensions: temporal stages of decision, dynamics, inertia , spatial different decision units connected by flows , stochastic various possible scenarios and thus risk. This leads to multi-stage stochastic optimization problems which enter the class of large-scale systems. The 4-day session entitled 'Interface Stochastic Optimization for Large-Scale Systems' will present tools and methods to formulate and solve such problems. To this end, various types of activities will take place including courses, computing sessions and interactive sessions.

The session addresses a mixed public, both from academia and from industry. The conference will be devoted to the study of independence between the multiplicative properties of integers and various "deterministic" functions, i. This area is developing very fast at international level and the conference will be an opportunity to help to develop techniques that were recently introduced to study of relations between prime numbers, polynomial sequences and finite automata, the study of the pseudorandom properties of certain arithmetic sequences and the search of prime numbers in deterministic sequences.

The purpose of the workshop is to provide a platform for teachers and researchers who are involved in exploring and developing Physical Sciences for the development and progress of our nation. The main areas covered in this workshop are Mathematics, Computer Sc. The conference features Steve Hofmann, of the University of Missouri, who will give two one-hour talks titled "Quantitative absolute continuity of harmonic and caloric measure".

The conference also features Zihui Zhao of the University of Chicago, and Max Engelstein of the University of Minnesota who will give one-hour talks on related topics. There is ample time scheduled for contributed talks; all participants, especially mathematicians early in their careers, are encouraged to contribute a minute talk. The conference is supported by the NSF and funding is available with priority given to students, postdocs and those early in their careers. The aim of the Conference is to bring together Mathematicians and Research scholars from different parts of the Country for exchange of ideas and latest developments in Number theory, special functions, fractional calculus, analysis and their applications in computer science.

Expected topics to be covered in this Conference are Computer Science, Applications of Computer Science in Special functions and other branches of Mathematics, Hypergeometric Series ordinary and basic both , Number Theory, Fractional Calculus, Special Functions, Lie theory, Orthogonal polynomials, Partition theory, Continued fractions, Combinatory analysis and other interesting works of Srinivasa Ramanuan.

This workshop will focus on the theoretical insights developed via illustration, visualization, and computational experiment in dynamical systems and probability theory.

This workshop, sponsored by AIM and the NSF, will be devoted to studying geometric realizations of Langlands functoriality via cycles on Shimura varieties. The aim of this workshop is to bring together researchers working in Differential Geometry and Non-associative algebras in order to develop this theme and enhance collaborations.