Diophantine Approximation, Fractal Geometry and Related topics / Approximation diophantienne, géométrie fractale et sujets connexes

Name: Diophantine Approximation, Fractal Geometry and Related topics / Approximation diophantienne, géométrie fractale et sujets connexes
Start: 2024-06-03T08:50:00+02:00
End: 2024-06-07T17:30:00+02:00
Location: Marne

3–7 juin 2024

Marne

Fuseau horaire Europe/Paris

Liste des contributions

1. Victor Beresnevich

03/06/2024 09:30

TBA

2. Sam Chow

03/06/2024 11:00

Multiplicative approximation on hypersurfaces

3. Simon Kristensen

03/06/2024 11:40

4. Nikolay Moshchevitin

03/06/2024 14:10

Geometry of the Best Approximations

5. Reynold Fregoli

03/06/2024 15:20

6. Steven Robertson

03/06/2024 16:20

7. Niclas Technau

03/06/2024 17:00

Rational Points Near Manifolds

I will report on recent results regarding the distribution of rational points near manifolds.

9. Barak Weiss

04/06/2024 09:30

Pushforwards of fractal measures and Diophantine approximation
on self-similar sets

Let \nu be a Bernoulli measure on a fractal in R^d generated by a finite collection of contracting similarities with no rotations and with rational coefficients; for instance, the usual coin tossing measure on Cantor's middle thirds set. Let a_t = diag (e^t ,..., e^t, e^-dt ), let U be its expanding...

10. Yitwah Cheung

04/06/2024 11:00

11. Erez Nesharim

04/06/2024 11:40

The shifts of the Thue-Morse sequence have partial escape of mass

12. Damien Roy

04/06/2024 14:10

Approximation rationnelle simultanée d'un nombre, de son carré et de son cube.

13. Stéphane Fischler

04/06/2024 15:20

14. Taehyeong Kim

04/06/2024 16:20

15. Agamemnon Zafeiropoulos

04/06/2024 17:00

A two-dimensional variant of Kaufman's measures in Diophantine Approximation

16. Dmitry Kleinbock

05/06/2024 09:30

17. Evgeniy Zorin

05/06/2024 11:00

18. René Pfitscher

05/06/2024 11:40

Counting rational approximations in flag varieties

In the divergence case of Khintchine's theorem, Schmidt obtained an asymptotic formula for the number of rational approximations of bounded height to almost every real number. Using exponential mixing in the space of lattices, we prove versions of this theorem for intrinsic diophantine approximation on quadrics, grassmannians, and other...

19. Yann Bugeaud

06/06/2024 09:30

20. Stéphane Seuret

06/06/2024 11:00

21. Dorsa Vakilzadeh Hatefi

06/06/2024 11:40

22. Cagri Sert

06/06/2024 14:10

23. Gaurav Aggarwal

06/06/2024 15:20

24. Shreyasi Datta

06/06/2024 16:20

The set of badly approximable vectors in Diophantine approximation plays a significant role. In a recent work with Victor Beresnevich, Anish Ghosh, and Ben Ward, we developed a general framework to show that the set of badly approximable points has measure zero in a metric space equipped with certain natural measures. I will explain a few applications of our method in various number theoretic...

25. Jiyoung Han

06/06/2024 17:00

Quantitative Khintchine--Groshev theorem on S-arithmetic numbers

In this talk, I would like to introduce two analogs of S-arithmetic generalization of Diophantine approximation problems. One way to obtain quantitative results for Diophantine approximation over the real field is by utilizing Schmidt's counting theorem on the family of expanding Borel sets. We will explore how this approach...

26. Anish Ghosh

07/06/2024 09:30

27. Catalin Badea

07/06/2024 11:00

Invariant Measures and Diophantine Approximation

28. Prasuna Bandi

07/06/2024 11:40

29. Stéphane Jaffard

07/06/2024 14:10

30. Arnaud Durand

07/06/2024 15:20

Capacities and (large) intersections for random sets in metric spaces, with applications in dynamical Diophantine approximation