Blooming Beasts: A Conference on the Geometry, Topology, and Dynamics of Infinite-Type Surfaces (25w5359)


George Domat (Rice University)

Javier Aramayona (Consejo Superior de Investigaciones Cientificas)

Ferran Valdez (UNAM)

Yvon Verberne (University of Western Ontario)


The Casa Matemática Oaxaca (CMO) will host the "Blooming Beasts: A Conference on the Geometry, Topology, and Dynamics of Infinite-Type Surfaces" workshop in Oaxaca, from June 22 to June 27, 2025.

Recently, there has been a large resurgence in the study of infinite-type surfaces. An example of an infinite-type surface is the $(x,y)$-plane where all points with integer valued coordinates are removed. More generally, an infinite-type surface is any surface with an infinite amount of topology. Many fields of research study infinite-type surfaces including mapping class groups, 3-manifolds, dynamics, low-dimensional topology, geometric group theory, and descriptive set theory.

Due to the connections with other areas of mathematics, this workshop aims to bring together a diverse group of mathematicians across disciplines in order to encourage interdisciplinary collaboration. Additionally, this conference aims to provide the community with a problem list consisting of various avenues of research which would allow for collaboration to continue long after the conclusion of the conference. This is the first post-pandemic conference in the field with a collaborative focus and specific goal of fostering interdisciplinary research.

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) and Alberta's Advanced Education and Technology.