Pakistan

The main theme of this CIMPA School is Topological Data Analysis (TDA), an emerging field at the intersection of topology and data science that uses tools from Algebraic Topology to understand the “shape” of data. This school will provide participants with both foundational and advanced topics in TDA, along with an introduction to its integration with Machine learning techniques. The program is designed to support participants from diverse backgrounds through a structured sequence of introductory and advanced courses.

The school will present three active domains which are recent developments with origin in symbolic dynamics: progresses in the theory of tilings, questions of diophantine approximation and proofs of transcendance for some number with explicit expansions in a given base, and generalisations of the classical notion of substitution; the unifying theme will be to show how symbolic dynamics can be applied to obtain results in very different contexts.