Abstract

The Casa Matemática Oaxaca (CMO) will host the "Ordered Groups and Rigidity in Dynamics and Topology " workshop in Oaxaca, from June 16, 2019 to June 21, 2019. This workshop will focus on the connections between several modern fields of mathematics, namely algebra, topology and dynamical systems. At the core of the connection is the idea that a certain mathematical relationship between algebraic objects and the real line (or the circle) can be flexible or rigid. Each of the fields of algebra, topology and dynamical systems has developed their own techniques and ideas for investigating flexibility and rigidity. This workshop aims to strengthen our understanding by unifying and expanding upon the methods across all fields. 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