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

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.

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

This is a 5-day workshop with about 42 participants. It will focus on the study of the theoretical partial differential equations and application in fluid dynamics, emphasizing the study on the structure of solutions and their large-time behavior to Navier-Stokes equations, Euler equations, Boltzmann equations, and so on. The conference will serve as a platform to report new breakthroughs, exchange research ideas, extend academic networks, and promote diversity and inclusion in this research field. New collaborations are also expected during and after the meeting. Topnotch speakers and talks will be carefully selected to make the conference attractive to a diverse audience.

Calculus, Differential Equations and Integration,    Computational Physics and Numerical Simulation

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

Vortex dynamics is at the heart of many unresolved problems in fluid mechanics and is also central to numerous applications in science and engineering. The goal of the proposed meeting is to survey the recent progress in this field focusing on applied mathematics aspects of both classical and emerging problems. We are planning to bring together about 40 researchers at different career stages working on various aspects of vortex dynamics, spanning applied mathematical analysis, scientific computing, physical modeling as well as scientific and engineering applications. A highlight of the workshop will be events designed to foster cross-fertilization between applied mathematics and different application areas.