Homomorphisms between Braid Groups and Holomorphic Maps between Configuration Spaces (24rit018)

The Banff International Research Station will host the "Homomorphisms between Braid Groups and Holomorphic Maps between Configuration Spaces" workshop in Banff from March 31 to April 14, 2024.

We will investigate homomorphisms from braid groups of low rank to arbitrary braid groups, both proving non-existence results and providing constructions, for example using elliptic curves. We will also study the repercussions on holomorphic maps between the associated configuration spaces and the potential extension of our techniques to closely related groups and geometries.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US 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's Advanced Education and Technology.