Interactions between Dynamics of Group Actions and Number Theory
Created: | 2014-06-10 14:04 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |
Description: | 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:
various question in Diophantine approximation have been studied using recurrence properties of flows on the space of unimodular lattices diagonal flows have played an important role in recent advances on quantum chaos and in the proof of the quantum unique ergodicity conjecture for arithmetic surfaces flows on homogeneous spaces of nilpotent groups have been used to produce new estimates on exponential sums and to study prime solutions of systems of linear equations the distribution of periodic orbits is connected to behaviour of period integrals of automorphic forms and to the problem of establishing subconvexity bounds for L-functions 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. |
Media items
This collection contains 47 media items.
Media items
Adelic equidistribution and property (tau)
Einsiedler, M (ETH Zürich)
Tuesday 01 July 2014, 10:00-10:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Applications of Thin Orbits
Kontorovich, A (Yale University)
Wednesday 02 July 2014, 11:30-12:20
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Asymptotical behavior of piecewise contractions of the interval.
Nogueira, A (Aix Marseille Université)
Friday 20 June 2014, 14:30-15:30
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 10 Jul 2014
Attaching shortest vectors to lattice points and applications
An, J (Peking University)
Wednesday 02 July 2014, 09:00-09:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Counting and equidistribution of common perpendiculars: arithmetic applications
Paulin, F (Université Paris-Sud)
Monday 30 June 2014, 15:00-15:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Dimension of Self-similar Measures and Additive Combinatorics
Hochman, M (Hebrew University of Jerusalem)
Wednesday 02 July 2014, 10:00-10:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Diophantine property in groups
Varjú, P (University of Cambridge)
Friday 04 July 2014, 10:00-10:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 15 Jul 2014
Distribution of values of linear maps on quadratic surfaces
Sargent, O (University of Bristol)
Thursday 12 June 2014, 11:30-12:30
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 18 Jun 2014
Divisibility properties in higher rank lattices
Mozes, S (Hebrew University of Jerusalem)
Monday 30 June 2014, 10:00-10:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Effective equidistribution for twisted averages of the horocycle flow
Forni, G (University of Maryland)
Tuesday 01 July 2014, 16:00-16:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Effective Ratner equidistribution for SL(2,R)⋉(R2)⊕k and applications to quadratic forms
Strombergsson, A (Uppsala Universitet)
Thursday 26 June 2014, 13:30-14:30
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Effective Ratner Theorem for ASL(2, R) and the gaps of the sequence \sqrt n modulo 1
Vinogradov, I (University of Bristol)
Wednesday 18 June 2014, 14:30-15:30
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 10 Jul 2014
Escape of mass in positive characteristics
Shapira, U (Technion - Israel Institute of Technology)
Wednesday 02 July 2014, 15:00-15:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Every flat surface is Birkhoff and Osceledets generic in almost every direction: Clay Mathematics Institute Senior...
Eskin, A (University of Chicago)
Monday 30 June 2014, 16:00-16:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Expansion properties of linear groups
Salehi Golsefidy, A (University of California, San Diego)
Monday 30 June 2014, 13:30-14:20
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Fourier analysis of multiplicative functions and a combinatorial application.
Host, B (Université de Marne-la-Vallée)
Thursday 19 June 2014, 14:30-15:30
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 10 Jul 2014
Gap Distributions, Homogeneous Dynamics, and Random Lattices
Athreya, J (University of Illinois)
Monday 30 June 2014, 09:00-09:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Gauss maps for simultaneous approximation
Cheung, Y (San Francisco State University)
Thursday 03 July 2014, 10:00-10:50
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Hall rays for Lagrange spectra of Veech surfaces
Ulcigrai, C (University of Bristol)
Monday 23 June 2014, 13:30-14:30
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014
Hausdorff dimension estimates for bounded orbits on homogeneous spaces of Lie groups
Kleinbock, D (Brandeis University)
Thursday 03 July 2014, 13:30-14:20
Collection: Interactions between Dynamics of Group Actions and Number Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 11 Jul 2014