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In recent previous years there have been several outstanding results in understanding the arithmetic statistics of algebraic ranks or rational points of families of abelian varieties. These results utilize a wealth of different and independent methods including geometry of numbers, lattice point counting results, additive combinatorics, sieve methods, geometry of Hurwitz spaces, and random matrix models. These developments call for opportunities to actively exchange these different insights and tools among researchers and young mathematicians who are potentially interested in this field. The special topics school on “Recent developments on arithmetic statistics of rational points on abelian varieties and curves” will encompass representatives of some leading researchers in arithmetic statistics, so that new exchange of ideas, collaborations, and outreach opportunities to future young mathematicians can be facilitated and fostered. Some tentative topics to be covered in the special topics school include lattice point counting techniques and their applications, twist families of abelian varieties over number fields, and geometric arithmetic statistics over global function fields. Exercise sessions will be provided to participants, where they can better understand the topics from the courses through carefully chosen problem sets provided by the lecturers.
The deadline for the application for participation is January 31, 2027.
Our Global Mobility Fellowships provide participation opportunities for selected researchers and PhD students from countries of the Global South in the Special Topic Schools of the Hausdorff School for Mathematics. For more information, please visit our website.
Lecture series by:
- Fatemehzahra Janbazi (University of Bonn)
- Peter Koymans (Utrecht University)
- Jef Laga (University of Cambridge)
- Aaron Landesman (Harvard University)
- Alex Smith (Northwestern University)
Scientific Organizers:
- Stevan Gajović (Universidad Politécnica de Madrid)
- Sun Woo Park (MPIM Bonn)