On the Interface of Geometric Measure Theory and Harmonic Analysis is a 5 day workshop at BIRS (Banff International Research Station) taking place June 10-14, 2024 focused on finite point configurations, projection problems, and combinatorial problems in fractal geometry.
Organizers: Krystal Taylor (Ohio State), Eyvi Palsson (Virginia Tech), Alexia Yavicoli (University of British Columbia), and Benjamin Jaye (Georgia Tech)
Schedule and abstracts: https://www.birs.ca/events/2024/5-day-workshops/24w5264/schedule
Mini Courses by:
- Malabika Pramanik (University of British Columbia, Canada) Measures supported on partly normal numbers (notes, slides)
- Tuomas Orponen (University of Jyväskylä, Finland) Projection problems and approximate incidence geometry (notes 1, notes 2)
Location: This workshop will take place in beautiful Banff, Canada at BIRS (Banff International Research Station)
Description: With a history dating back to Leibniz, the modern study of fractals is of interest to a broad range of scientific communities. This 5 day workshop will bring together researchers from around the globe from diverse mathematical backgrounds to explore emerging links between Harmonic Analysis and Geometric Measure Theory with applications to Ergodic Theory, Dynamical Systems, as well as in Number Theory and Combinatorics.
Different tools and fundamental questions exist in the communities but they unite around the following themes:
- Investigation of finite point configurations in fractal subsets of Euclidean space
- Study of dimension and measure of projection sets in the vain of Marstrand’s projection theorem
- Combinatorial problems in fractal geometry (distance sets, direction sets, Kakeya-type sets)
Creating opportunities for junior mathematicians to work directly with senior mathematicians is a high priority of this workshop. In addition to hosting two mini courses by leading mathematicians and panel discussions, the workshop will feature lightning talks by junior mathematicians. A call to apply to give a lightning talk will be announced on this page soon, so please alert your students to this opportunity.
Talks by:
- Balázs Bárány, Budapest University of Technology and Economics
- Marianna Csörnyei, University of Chicago
- Polona Durcik, Chapman University
- Xiumin Du, Northwestern University
- Jonathan Fraser, University of St. Andrews
- Alex Iosevich, University of Rochester
- Natalia Jurga, University of St Andrews
- Izabella Laba, University of British Columbia
- Yumeng Ou, University of Pennsylvania
- Pablo Shmerkin, University of British Columbia
- Karoly Simon, Budapest University of Technology and Economics
- Ville Suomala, University of Oulu
- Hong Wang, UCLA
- Bobby Wilson, University of Washington
- Josh Zahl, University of British Columbia
Short talks by:
- Alan Chang, Washington University in St. Louis
- Alex Cohen, MIT
- Yeonwook Jung, San Francisco State University
- Caleb Marshall, University of British Columbia
- Alex McDonald, The Ohio State University
- Brian McDonald, University of Georgia
- Yuveshen Mooroogen, University of British Columbia
- Francisco Romero Acosta, Australian National University
- Rajula Srivastava, University of Bonn
Participants:
- Andrew Alexander, University of British Columbia
- Ryan Bushling, University of Washington
- Angel Cruz, University of British Columbia
- Blair Davey, Montana State University
- Damian Dabrowski, University of Jyväskylä
- Rob Fraser, Wichita State
- Natalia Jurga, University of St Andrews
- Chun Kit Lai, San Francisco State University
- Bochen Liu, Southern University of Science and Technology
- Lekha Patil, San Francisco State University
- Francisco Romero Acosta, Australian National University
- Steven Senger, Missouri State University
- Betsy Stovall, University of Wisconsin Madison
- Tongou Yang, University of Wisconsin Madison
- Han Yu, University of Warwick
Virtual Participants:
(We have many virtual participants. Find out more here, and reach out to the organizers if you wish to participate virtually)
Special Issue:
We will be publishing a special issue with Springer based on the work related to this conference. A call for papers will come out soon.
Resources and Travel information:
The arrival day for this event is Sunday, June 9, 2024. There are limited airport shuttles available via request. Contact information and other travel details can be found on this website:
While Banff offers housing and meals, participants will need to find funding for travel. We have compiled a partial list of funding opportunities here.
Click here to access our workshop page on BIRS.ca for additional information.
Event Poster:
Fun Stuff:
We have some social events planned as well as a group hike on Wednesday afternoon.
A BIG Thanks to BIRS and PIMS for making this event possible!!!