Interactions between fractal geometry, harmonic analysis, and dynamical systems
September 2 - December 11, 2026
The purpose of the semester is to unite experts working at the interfaces between fractal geometry, harmonic analysis, and dynamical systems. These areas have become increasingly intertwined in the 2000s. Some of the most striking recent progress in each of fields has resulted from surprising input from the two others. The three main aims of the semester are to discover further connections between the fields, to facilitate experts in one field to rapidly gain a deeper understanding of the other two, and to provide junior mathematicians a unique opportunity gain experience in all three areas, early-on in their careers.
Examples of specific topics covered by the semester include (i) problems in continuum incidence geometry related to Kakeya sets, distance sets, and projections, sum-product theory, and finding patterns in fractal sets, (ii) connections between these problems with Fourier restriction and decoupling theory, fractal uncertainty principles in quantum chaos, and Fourier decay problems for dynamically defined fractal measures, (iii) the theory of effective equidistribution of random walks on groups.
The scientific programme of the semester will contain two week-long workshops, and several weekly seminars.
Workshop 1: September 21 — September 25
Workshop 2: November 16 — November 20
RECORDED SEMINARS:
Seminars Scroll to the next upcoming seminar
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Amir Algom | University: University of Haifa at Oranim | Country: Israel | Arrival and Departure: Nov 28 |
| Michael Björklund | University: Chalmers University of Technology | Country: Sweden | Arrival and Departure: Dec 11 |
| Emmanuel Breuillard | University: University of Oxford | Country: United Kingdom | Arrival and Departure: Dec 11 |
| Alex Cohen | University: Courant Institute (starting September) | Country: United States | Arrival and Departure: 11 Dec |
| Damian Dabrowski | University: IMPAN, Warsaw | Country: Poland | Arrival and Departure: Oct 2 |
| Nicolas de Saxcé | University: Université Paris-Nord | Country: France | Arrival and Departure: Dec 11 |
| Semyon Dyatlov | University: MIT | Country: USA | Arrival and Departure: Sep 25 |
| De-Jun Feng | University: Chinese University of Hong Kong | Country: Hong Kong, China | Arrival and Departure: Dec 11 |
| Jonathan Fraser | University: University of St Andrews | Country: United Kingdom | Arrival and Departure: 21 Nov |
| Alexander Gorodnik | University: University of Zurich | Country: Switzerland | Arrival and Departure: Sep 20 |
| Shaoming Guo | University: Chern Institute of Mathematics, Nankai University | Country: China | Arrival and Departure: Dec 12 |
| Weikun He | University: Academy of Mathematics and System Science, Chinese Academy of Sciences | Country: China | Arrival and Departure: 7 Oct |
| Alex Iosevich | University: University of Rochester | Country: United States | Arrival and Departure: Oct 1 |
| Osama Khalil | University: [object Object] | Country: United States of America | Arrival and Departure: Nov 28 |
| Henna Koivusalo | University: University of Bristol | Country: UK | Arrival and Departure: Dec 11 |
| Jialun Li | University: | Country: France | Arrival and Departure: 11 Dec |
| Elon Lindenstrauss | University: Institute for Advanced Study | Country: USA | Arrival and Departure: Nov 28 |
| Amir Mohammadi | University: UCSD | Country: USA | Arrival and Departure: Oct 20 |
| Joel Moreira | University: Warwick University | Country: UK | Arrival and Departure: Sep 25 |
| Tuomas Orponen | University: University of Jyväskylä | Country: Finland | Arrival and Departure: Dec 11 |
| Malabika Pramanik | University: University of British Columbia | Country: Canada | Arrival and Departure: Dec 11 |
| Ariel Rapaport | University: Technion | Country: Israel | Arrival and Departure: 29 Sep |
| Tuomas Sahlsten | University: University of Helsinki | Country: Finland | Arrival and Departure: Dec 12 |
| Pablo Shmerkin | University: University of British Columbia | Country: Canada | Arrival and Departure: Dec 11 |
| Donald Stull | University: University of Chicago | Country: USA | Arrival and Departure: Oct 15 |
| Josh Zahl | University: University of British Columbia | Country: China | Arrival and Departure: Dec 11 |
| Ruixiang Zhang | University: University of Berkeley | Country: USA | Arrival and Departure: Nov 20 |