Advances in Hierarchical Hyperbolicity (24w5254)


Jacob Russell (Rice University)

Carolyn Abbott (Brandeis University)



The Banff International Research Station will host the “Advances in Hierarchical Hyperbolicity” workshop in Banff from May 26 - 31, 2024.

The recent introduction of hierarchical hyperbolicity has provided a powerful tool for understanding a wide variety of spaces and groups which exhibit non-positive curvature. This has allowed for exciting progress over the past few years on a number of long-standing questions concerning mapping class group, 3-manifold groups, cubulated groups, and others.

As the study of hierarchical hyperbolicity grows and connections are made with other areas of geometry and topology, this workshop will bring together a diverse group of mathematicians to discuss recent advances and future directions. This will be the first major international conference on this topic and it will include a number of junior participants to reflect the youthful growth of the area.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides 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 is located at The Banff Centre in Alberta and is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta Technology and Innovation.