Interactions between Dynamics of Group Actions and Number Theory

Interactions between Dynamics of Group Actions and Number Theory's image
Created: 2014-06-10 14:04
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.

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Media items

Adelic equidistribution and property (tau)

   248 views

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

   270 views

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.

   230 views

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

   238 views

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


Dimension of Self-similar Measures and Additive Combinatorics

   245 views

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

   470 views

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

   334 views

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

   315 views

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

   258 views

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


Escape of mass in positive characteristics

   289 views

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


Expansion properties of linear groups

   287 views

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.

   243 views

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

   216 views

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

   319 views

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

   223 views

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


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