Perspectives on Markov Numbers (25w5411)

The Banff International Research Station will host the “Perspectives on Markov numbers” workshop in Banff from January 26 - 31, 2025.

Markov numbers have a rich historical background and have recently gained attention in various fields of mathematics. While the communal knowledge surrounding Markov numbers has been growing quickly in recent years, this workshop is an opportunity to synthesize what is known amongst academics in different subdisciplines and begin new and exciting collaborations.

The goal of the 'Perspectives on Markov Numbers' workshop is to bring together researchers to explore and advance the understanding of the Markov numbers, their applications, and their connections to different areas of mathematics. Attendees can expect to gain insight on how the Markov numbers are studied in number theory, hyperbolic geometry, and cluster algebras. The workshop will provide an opportunity for participants to engage in collaborative efforts and tackle open problems. Moreover, post docs, graduate students and early career faculty will have the opportunity to present research or expository lectures and receive feedback.

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’s Advanced Education and Technology.