This conference focuses on various aspects of Diophantine Approximation Theory, Geometry of Numbers, Uniform Distribution and connections with Dynamical Systems.
Diophantine Approximation is one of the most popular areas of contemporary Number Theory. Dynamical Systems continues to be one of the most vibrant branches of modern analysis. Many famous and important problems in Diophantine Approximation, such as Littlewood conjecture, Oppenheim conjecture in quadratic forms, Margulis conjecture on closures of orbits of lattices, are related to deep properties of certain dynamical systems. Research in these areas involve many approaches and methods from different parts of Mathematics.
The aim of the conference is to bring together experts from different disciplines and mathematical communities whose research relates to various aspects of Diophantine approximation and Geometry of Numbers in order to stimulate the exchange of ideas and facilitate transference of powerful techniques across the disciplines. There are 2 core groups of researchers that we bring together, one from Number Theory (predominantly, Diophantine Approximation) and the other from Dynamical Systems (mostly, Homogeneous Dynamics). Over the past decade, these two groups have been meeting regularly, with the last major meeting being in Israel in February 2023 at the Technion. We expect many leading experts from both Dynamical Systems and Diophantine Approximation will agree to come to this year's conference.
We hope that our conference will be fruitful and that it will provide many new opportunities to continue the previous and to develop new collaborations between specialists all over the world.
Preliminary List of Participants
Nicolas de Saxce
Gerardo González Robert
High order numerical methods for PDEs in applied sciences
Seminar on Graph Theory
DG manifolds in Geometry and Physics
Probability and Statistical Physics
Seminar on Hodge Conjecture
Workshop on Mathematics in the Internet and Blockchain Economics
Workshop on the recent progress of kinetic theory and related topics
Mathematical Aspects of Quantum Theory
Viscoelastic Flow Dynamics: from Theory to Mechanisms
Complex time series analysis: high-dimensionality, change-points, forecasting and causality
Special values of L-functions
New Developments in Holography
Workshop on Algebraic Geometry
Computational Topology and Application
Recent Advances in Scientific Computing and Deep Learning
The 10th anniversary of Tsinghua Sanya International Mathematics Forum
Representation theory, Automorphic forms and Complex geometry II
The 5th TSIMF conference on Computational and Mathematical Bioinformatics and Biophysics
Lie theory and representations