New trends in symbolic dynamics and ergodic theory: dynamical obstructions arising from complexity theory (23w5021)

Organizers

Xiangdong Ye (University of Science and Technology of China)

Nikos Frantzikinakis (University of Crete)

Bryna Kra (Northwestern University)

Alejandro Maass (Universidad de Chile)

Wenbo Sun (Virginia Polytechnic Institute and State University)

Description

The Institute for Advanced Study in Mathematics will host the "New trends in Symbolic Dynamics and Ergodic Theory: Dynamical Obstructions arising from Complexity Theory" workshop in Hangzhou, China from July 23 - July 28, 2023.


A common intuition in dynamical systems is that systems with low complexity should have some sort of structure, while systems with high complexity should exhibit more randomness. We explore this notion in various settings, particularly focussing on recent developments in ergodic theory and symbolic dynamics that are related to combinatorial, number theoretic, and algebraic problems. Fine properties of sequences of numbers can be studied via dynamics, relating the complexity of the sequence to hidden structures it contains. The proposed meeting will cover such recent developments, bringing together mathematicians from a variety of fields, including ergodic theory, symbolic dynamics, number theory, and group theory to discuss on long-standing open problems that have implications for these fields.


The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, 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).