Workshop: Asymptotics of (random) convex sets: fluctuations and large deviations
Dates: February 19-23, 2024
Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn
Organizers: Kavita Ramanan, Matthias Reitzner and Christoph Thäle
Lecturers:
- Radek Adamczak
- Anna Gusakova
- Zakhar Kabluchko
- Eliza O’Reilly
- Grigoris Paouris
- Tomasz Tkocz
- Beatrice Vritsiou
Description:
Asymptotic geometric analysis is concerned with geometric and linear properties of finite dimensional objects, when the dimension and other relevant parameters, grow to infinity. Stochastic geometry deals with randomly constructed sets and asks for fundamental functionals like volume, curvature or combinatorial and topological properties of the resulting set when some underlying parameters tend to infinity.
Breakthrough results within the last years are, for example, strong concentration inequalities for volumes of convex bodies and more general log-concave measures, and a large number of limit laws for random sets.
This workshop brings together experts from asymptotic geometric analysis and stochastic geometry in order to build new bridges between these areas and to stimulate mutual exchange.
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.