GAN
9 June 2014 to 4 July 2014
In the last decade there have been several important breakthroughs in Number Theory and Diophantine Geometry, where progress on long-standing open problems has been achieved by utilising ideas originated in the theory of dynamical systems on homogeneous spaces. Dynamical systems techniques are applicable to a wide range of number-theoretic objects that have many symmetries. In particular:
The aim of this programme is to bring together researchers working in Number Theory and Homogeneous Dynamics to discuss the recent developments and open problems that lie at the crossroads of these fields and to encourage more interaction among people working in these diverse areas.
Images produced by Alex Barnett and Holger Then
The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:
The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Interactions between dynamics of group actions and number theory, where work on this paper was undertaken. This work was supported by EPSRC grant EP/K032208/1.
Click here to download the programme's final scientific report
Title | Year | Programme | Publication Date |
---|---|---|---|
Best possible rates of distribution of dense lattice orbits in homogeneous spacesAuthors: Anish Ghosh, Alex Gorodnik, Amos Nevo |
2013 | GAN | 21 October 2016 |
Multiparameter spherical averages of Siegel transforms and applicationsAuthors: Jayadev Athreya, Anish Ghosh, J Tseng |
2013 | GAN | 21 October 2016 |
Simultaneous dense and nondense orbits and the space of latticesAuthors: R Shi, J Tseng |
2013 | GAN | 21 October 2016 |
30 June 2014 to 4 July 2014
Monday 9th June 2014 | |||
---|---|---|---|
14:30 to 15:30 | Room 2 |
Tuesday 10th June 2014 | |||
---|---|---|---|
14:30 to 15:30 |
On continued fraction expansion of potential counterexamples to mixed Littlewood conjecture. |
Room 2 |
Thursday 12th June 2014 | |||
---|---|---|---|
11:30 to 12:30 |
Distribution of values of linear maps on quadratic surfaces. |
Room 2 | |
14:30 to 15:30 | Room 2 |
Friday 13th June 2014 | |||
---|---|---|---|
11:30 to 12:30 |
On continued fraction expansion of potential counterexamples II |
Room 2 | |
14:30 to 15:30 | Room 2 |
Monday 16th June 2014 | |||
---|---|---|---|
16:00 to 17:00 |
Spectral gap in simple Lie groups : Clay Mathematics Institute Senior Scholar Lecture. |
Room 1 |
Wednesday 18th June 2014 | |||
---|---|---|---|
11:30 to 12:30 | Room 2 | ||
14:30 to 15:30 |
Effective Ratner Theorem for ASL(2, R) and the gaps of the sequence \sqrt n modulo 1 |
Room 1 |
Thursday 19th June 2014 | |||
---|---|---|---|
14:30 to 15:30 |
Fourier analysis of multiplicative functions and a combinatorial application. |
Room 2 |
Friday 20th June 2014 | |||
---|---|---|---|
10:30 to 11:30 | Discussion Room | ||
11:30 to 12:30 | Room 1 | ||
14:30 to 15:30 |
Asymptotical behavior of piecewise contractions of the interval. |
Room 2 |
Tuesday 24th June 2014 | |||
---|---|---|---|
14:30 to 15:30 |
Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces. |
Room 2 | |
15:45 to 16:45 |
Stationary Measures and Invariant Subsets of Homogeneous Spaces: Part I |
Room 2 |
Friday 27th June 2014 | |||
---|---|---|---|
11:30 to 12:30 | Room 2 | ||
14:30 to 15:30 | Room 2 | ||
15:45 to 16:45 |
Stationary Measures and Invariant Subsets of Homogeneous Spaces: Part II |
Room 2 |
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