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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

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

Casa Matemática Oaxaca (CMO)

Large-scale, high-dimensional data sets are becoming ubiquitous in modern society, particularly in the areas of physical, biomedical, and social applications. For example, in the problem of predicting thyroid malignancy from biopsy images, the images are typically about 150,000 by 100,000 dimensions, which limit the application of many existing methods. There is an urgent need for accurate and efficient mathematical and statistical tools for the analysis and engineering of high-dimensional data sets. The proposed 5-Day workshop will bring researchers from different disciplines to collaboratively address the foundational computational and theoretical challenges in high-dimensional data analysis. The workshop is designed around the simple question ``how to accurately and efficiently process large-scale data in 10+ dimensions’’. Invited participants will review existing mathematical and statistical tools for high dimensional data sets, including the Monte Carlo methods, randomized algorithms, dimension reduction, sparse grid, network analysis, and interpolation-based deep neural networks, and compare their performance and address their limitations. The invited participants will collaboratively address the current challenges in high-dimensional data analysis, and design new strategies by combining existing tools and by introducing new methodologies for problems in 10+ dimensions.

Réseaux complexes,    Mathématiques appliquées (en général)

Casa Matemática Oaxaca (CMO)