Functional and Metric Analysis and their Interactions (25w5347)

The Institute of Mathematics at the University of Granada will host the "Functional and Metric Analysis and their Interactions" workshop at the University of Granada (IMAG) in Spain, from May 25 to May 30, 2025.

Beyond mere mathematical curiosity, the study of discrete spaces and their geometry is of great importance to a broad range of scientists including theoretical computer scientists working with data analysis and signal processing, economists interested in transportation theory, and physicists who use certain observable algebras in order to better describe topological phase transitions. In this context, functional analysis can provide the ideal machinery needed to linearize questions which are a priori discrete in nature and allow scientists to obtain useful models for their concrete problems. In the last few decades, the study of metric spaces under a functional analytical point of view has increased tremendously and we currently have many different ways of coding the geometry of certain spaces such as using transportation cost Banach spaces or Roe algebras and their many variants. The goal of this conference is to bring together world experts in these topics to a unique event which will allow mathematicians from a very diverse background to interact with each other and provide new and exciting links between seemingly separated mathematical fields. The conference will also contain a large number of junior researchers and students so that the field can keep on being developed and new professionals are trained.

The Institute of Mathematics at the University of Granada(IMAG) in Granada, Spain, 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), and Alberta Technology and Innovation.