Conferences  >  Mathematics  >  Calculus, Differential Equations and Integration  >  Mexico

Centro de Investigación en Matemáticas (CIMAT) - Guanajuato

This workshop aims to strengthen the interactions between harmonic analysis, partial differential equations, and probability communities in Mexico and abroad. The event will take place in Centro de Investigación en Matemáticas (CIMAT) in Guanajuato Mexico from the 28th of September to the 6th of October of 2023 and consists of two parts. From the 28th to the 30th there will be a series of talks from leading experts in the three areas. During the week starting the 2nd of October, there will be three mini-courses with problem sessions and different panels geared toward graduate students and researchers.

Each mini-course will focus on one of the three main areas and consist of 3 lectures of 90 minutes and 3 problem sessions of 60 minutes each, all activities will be held in English. Participants are expected to actively engage and complete the assignments in at least two of the courses, everybody will be encouraged to attend the three courses. Tentatively the panels will address academic applications, open problems, and research directions. We will also invite students to present their research in a poster session this week.

Participants of the event that require an accommodation will be lodged at CIMATEL, a housing facility a walking distance from CIMAT.

Email: hector.chang@cimat.mx

Potential theory, partial differential equations, harmonic analysis, probability

Analysis,    Probability and Statistics, Game Theory

Casa Matemática Oaxaca (CMO)

Trefftz methods are a class of methods for the numerical simulation of problems modeled by differential equations. As opposed to other methods such as finite elements, relying on a unique representation of solutions for all possible equations, Trefftz methods rely on a representation of the solution that is tailored for each particular problem, that is for each differential equation. Thanks to this tailored representation, the methods enjoy desirable properties: they can approximate solutions within a given accuracy using less computational resources than for instance finite element methods. In the past few years, the mathematical community has reached significant breakthroughs to address several challenges attached to the practical performance of Trefftz methods. By gathering experts on these methods, as well as scientists from both academia and industry who use them towards various applications, we have a unique opportunity to exchange about recent developments, stimulate new interactions and shape the future developments on Trefftz methods.

Modeling and Simulation,    Numerical Analysis and Computational Mathematics

Casa Matemática Oaxaca (CMO)

Our society faces various grand challenges that it urgently needs to address over the coming years, such as mitigating climate change, combating environmental damage, and providing effective, affordable healthcare for everyone. Data science and Artificial Intelligence are expected to play a key role in successfully tackling many of these challenges. While recent progress in AI was driven mostly by empirical developments, we are entering now a new phase in which questions of trustworthiness, scalability, fairness, privacy, reproducibility, and explainability emerge as key factors. Fundamentally new ideas and approaches are needed to address these open problems, which will require a close collaboration between mathematicians, statisticians, computer scientists, and engineers. This workshop features an interdisciplinary group of exceptional scientists from across the world to present recent developments, foster new interactions, and create novel ideas for the solution of the aforementioned data science problems.

Pattern Recognition and Image Processing, Machine Vision,    Scientific Computing and Data Science