Events

The program will explore different perspectives on uncertainty quantification, efficient simulation, and the analysis of complex stochastic systems. The topics covered will include exciting recent developments on efficient methods for approximating quasi-stationary distributions, simulation of equilibrium distributions, information divergences in sensitivity analysis of rare events, large deviations methods for efficient importance sampling, accelerated Monte Carlo via nonlinear PDE, and complex probabilistic models including reflected diffusions and high-dimensional dynamics arising in chemistry and physics.

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data. A main challenge resulting from using models “backwards” to measure causes from their effects is that solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. This difficulty has stimulated an important amount of research and innovation at the interface of applied mathematics, statistics, engineering, physics, and other fields, leading to great social and economic benefit through impact on science, medicine, and engineering.

The event will especially focus on the recent connections of the Fourier transform of fractal measures, Fractal Uncertainty Principles and discretised sum-product theory appearing in these topics (mixing rates / spectral gaps, Diophantine approximation problems, quantum chaos such as scattering resonance distribution and eigenstate delocalisation in high energy) and bringing dialogue between these communities to solve some of the current challenges.

Invited Speakers: Alberto Enciso (ICMAT) Simon Chandler-Wilde (Reading) Lyonell Boulton (Heriot-Watt) Fioralba Cakoni (Rutgers) Chris Judge (Bloomington) Emily Dryden (Bucknell) Cristina Trombetti (Naples) Michael Magee (Durham) Maciej Zworski (Berkeley) Wilhelm Schlag (Yale) Public Lecture: Dmitri Vassiliev (UCL)

GAP is a series of summer schools, each devoted to a topic related to geometry and mathematical physics. Traditionally, the emphasis is on interaction between speakers and participants rather than on an intensive schedule of talks. This time there will be three mini-courses, a number of invited talks, and a poster session for young participants.

Join us at the forefront of innovation! The Institute of Mathematics and its Applications is proud to present the AI/ML Congress 2024—an inclusive gathering of academics, industrialists, and AI enthusiasts from diverse fields. Explore the limitless possibilities of Artificial Intelligence and Machine Learning through engaging presentations, panel discussions, and unparalleled networking opportunities.

ATSF is an international conference series organized to bring together researchers from ALL areas of Approximation Theory and Special Functions to discuss new ideas and new applications. This organization, which has been held seven times so far as mini-symposia, has grown gradually over the years and will be held for the eighth time on September 4-7, 2024, hosted by TOBB Economics and Technology University (Ankara, Türkiye). For contact: atsf2024@gmail.com

This four-day mathematical physics conference covers probabilistic and path integral methods in quantum and statistical field theory: In particular, the remarkable progress in mathematical understanding of two-dimensional conformal field theories; exciting developments in higher dimensional field theories; near-critical and integrable theories; and the connections to deep mathematical questions in analysis, geometry, and probability.

The international conference "Perturbations, Asymptotics, and related Tools (PAT)" will bring together many experts working on the topics of perturbation and asymptotic problems for elliptic differential equations, and on more abstract and foundational questions that are essential to deal with perturbations and asymptotics. Said topics will include (but are not restricted to): perturbations of the domain and/or of the underlying geometric structure; corner singularities and their effects on solutions of BVP; perturbations of the mass and of other parameters; regularity properties of layer potentials and their numerical computations; degenerate, Steklov, nonlinear, and higher order problems.

The purpose of the Annual International Conference of the Georgian Mathematical Union is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields. Sections: • Algebra and Number Theory • Differential and Integral Equations, and Their Applications • Geometry and Topology • Logic, Language, Artificial Intelligence • Mathematical Education and History • Mathematical Logic and Discrete Mathematics • Mathematical Modeling and Numerical Analysis • Mathematical Physics • Probability Theory and Statistics, Financial Mathematics • Real and Complex Analysis