ICTS

The proposed workshop explores the deep interplay between ergodic theory and harmonic analysis in understanding the geometry and structure of sparse sets in Euclidean spaces. By combining dynamical systems perspectives, capturing long-term behavior and distribution patterns under transformations, with analytical tools such as Fourier methods and geometric decompositions, the program highlights how modern techniques reveal hidden structures within sets of positive density. Particular emphasis will be placed on studying limiting sets arising from iterated function systems, equidistribution phenomena, and the balance between randomness and structure in sparse configurations as described in the themes below.
Thematic Lectures:
Theme 1: Discrete geometry of cut-and-project sets, and dynamics.
Speaker: Barak Weiss, Tel Aviv University, Israel.
Theme 2: Geometric Ramsey theory.
Speaker: Akos Magyar, University of Georgia
Theme 3: Patterns, Randomness, and the Mystery of Normal Numbers.
Speaker: Malabika Pramanik, University of British Columbia and BIRS, Canada

The program will also feature invited research talks with a focus on the above themes of the program.

Bringing together internationally renowned experts and emerging researchers, the program aims to foster collaboration, stimulate discussion on open problems, and bring out a new generation of scholars, especially early-stage PhD students, interested in the rich intersection of ergodic theory, harmonic analysis, and geometric analysis.

Eligibility Criteria: All mathematicians are welcome. Preference will be given to researchers who work in areas related to the themes of the workshop.

Accommodation will be provided for outstation participants at ICTS  on-campus guest house or  ICTS Hostel.

ICTS is committed to building an environment that is inclusive, non-discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups.