Dynamics, number theory, and geometry @ Exeter
05 April 2019
Dynamics, number theory, and geometry @ Exeter is a one-day meeting to be held at the University of Exeter on 05 April 2019. It is open to all. Please register--see below.
1:30 PM -- 1:40 PM. Welcome.
1:40 PM -- 2:40 PM. Jimmy Tseng (Exeter).
2:40 PM -- 3:00 PM. Coffee break.
3:00 PM -- 4:00 PM. Natalia Jurga (Surrey).
4:10 PM -- 5:10 PM. Sanju Velani (York).
5:10 PM -- 6:00 PM. Wine reception.
6:30 PM -- 8:30 PM. Conference dinner. Venue: Mill on the Exe
All talks are in Harrison 101
Title and abstracts
Speaker: Natalia Jurga (Surrey)
Title: Regularity of the affinity dimension for some planar iterated function systems
Abstract: The affinity dimension, introduced by Falconer in the 1980s, is the `typical' value of the Hausdorff dimension of a self-affine set. In 2014, Feng and Shmerkin proved that the affinity dimension is continuous as a function of the maps defining the self-affine set, thus resolving a long-standing open problem in the fractal geometry community. In this talk we will discuss stronger regularity properties of the affinity dimension in some special cases. This is based on recent work with Ian Morris.
Speaker: Jimmy Tseng (Exeter)
Title: Subgroups under some diagonal flows
Abstract: I will discuss some recent work on the equidistribution of horospherical subgroups and maximal compact subgroups under some diagonal flows. We will use Ratner's theorems and geometric methods particular to our setup to derive our results. This is joint with J. Marklof.
Speaker: Sanju Velani (York)
Title: Diophantine Approximation on $M_0$-sets with restricted denominators
The meeting is open to all and free to attend. Please register by emailing j "dot" tseng "at" exeter "dot" ac "dot" uk. Some travel funding is available for students and carers and requests should be made when registering.
Venue: University of Exeter, Harrison Building, Room 101
North Park Road
Exeter, EX4 4QF
A Google map of Harrison Building:
Rail: Take the train to Exeter St. Davids. Harrison Building is about a 15 minute walk from the station.
Places to get food
The organizer gratefully acknowledges funding from the London Mathematical Society (LMS)'s Scheme 9 ‘Celebrating New Appointments’ Grant and funding from the University of Exeter.