Metric measure Spaces with Symmetry and Lower Ricci Curvature Bounds (22w5066)


(Universidad Nacional Autónoma de México)

Andrea Mondino (University of Oxford)

Jesús Núñez-Zimbrón (Centro de Investigación en Matemáticas)

Masoumeh Zarei (Universität Augsburg)


The Casa Matemática Oaxaca (CMO) will host the "Metric measure Spaces with Symmetry and Lower Ricci Curvature Bounds" workshop in Oaxaca, from August 7 - August 12, 2022.

The problem of finding a cost-optimizing way of moving goods from one place to another has been studied in Mathematics since the XVII century. A breakthrough came in the first decade of the 2000 with the description of a large family of metric measure spaces where this problem can be used to define Ricci curvature lower bounds in a synthetic sense. Even though these spaces have a lot of nice geometric properties, their explicit description has proved to be a difficult problem. In this workshop we explore how to break up such a given space into small pieces which are highly symmetric, with the intention of giving a global picture of the original space.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT