CORDIS
EU research results

CORDIS

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Homogenous dynamics, arithmetic and equidistribution

Project information

Grant agreement ID: 833423

Status

Ongoing project

  • Start date

    1 June 2019

  • End date

    31 May 2024

Funded under:

H2020-EU.1.1.

  • Overall budget:

    € 2 090 625

  • EU contribution

    € 2 090 625

Hosted by:

THE HEBREW UNIVERSITY OF JERUSALEM

Israel

Objective

We consider the dynamics of actions on homogeneous spaces of algebraic groups,
and propose to tackle a wide range of problems in the area, including the central open problems.

One main focus in our proposal is the study of the intriguing and somewhat subtle rigidity properties of higher rank diagonal actions. We plan to develop new tools to study invariant measures for such actions, including the zero entropy case, and in particular Furstenberg's Conjecture about $\times 2,\times 3$-invariant measures on $\R / \Z$.

A second main focus is on obtaining quantitative and effective equidistribution and density results for unipotent flows, with emphasis on obtaining results with a polynomial error term.

One important ingredient in our study of both diagonalizable and unipotent actions is arithmetic combinatorics.
Interconnections between these subjects and arithmetic equidistribution properties, Diophantine approximations and automorphic forms will be pursued.

Host institution

THE HEBREW UNIVERSITY OF JERUSALEM

Address

Edmond J Safra Campus Givat Ram
91904 Jerusalem

Israel

Activity type

Higher or Secondary Education Establishments

EU Contribution

€ 2 090 625

Beneficiaries (1)

THE HEBREW UNIVERSITY OF JERUSALEM

Israel

EU Contribution

€ 2 090 625

Project information

Grant agreement ID: 833423

Status

Ongoing project

  • Start date

    1 June 2019

  • End date

    31 May 2024

Funded under:

H2020-EU.1.1.

  • Overall budget:

    € 2 090 625

  • EU contribution

    € 2 090 625

Hosted by:

THE HEBREW UNIVERSITY OF JERUSALEM

Israel