Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory

Explore advanced mathematical research through this comprehensive workshop featuring 15 specialized lectures on dynamics, discrete analysis, and multiplicative number theory. Delve into cutting-edge topics including Hardy-Littlewood and Chowla type conjectures in the presence of Siegel zeros, the unipotent mixing conjecture, and random polynomials in counting number fields. Examine the Mobius disjointness conjecture with arbitrarily slow decay, Veech's conjecture about Möbius orthogonality, and the complexity of multilinear averages. Investigate thermodynamic formalism for B-free dynamical systems, distribution of orbits at prime and semi-prime times, and projection theorems with their applications. Study infinite sumsets and higher order sumsets in sets with positive density, polynomial progressions in topological fields, and their applications to pointwise convergence. Analyze Gowers uniformity of arithmetic functions in short intervals, asymptotic total ergodicity and polynomial patterns in finite fields, and limit formulas for polynomial ergodic averages with commuting transformations. Learn from leading experts including Terence Tao, Valentin Blomer, Theresa Anderson, and other distinguished mathematicians as they present their latest research findings and theoretical developments in these interconnected areas of mathematics.