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HomDyn SIGNED

Homogenous dynamics, arithmetic and equidistribution

Total Cost €

EC-Contrib. €

Partnership

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HomDyn project word cloud

Explore the words cloud of the HomDyn project. It provides you a very rough idea of what is the project "HomDyn" about.

ingredient conjecture density dynamics subtle intriguing rank algebraic emphasis subjects diagonal error arithmetic central approximations diophantine zero combinatorics tools area forms spaces automorphic polynomial plan homogeneous tackle equidistribution z diagonalizable flows pursued unipotent groups obtaining interconnections somewhat furstenberg actions 3 quantitative times invariant entropy rigidity

Project "HomDyn" data sheet

The following table provides information about the project.

Coordinator	THE HEBREW UNIVERSITY OF JERUSALEM Organization address address: EDMOND J SAFRA CAMPUS GIVAT RAM city: JERUSALEM postcode: 91904 website: www.huji.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Israel [IL]
Total cost	2˙090˙625 €
EC max contribution	2˙090˙625 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2018-ADG
Funding Scheme	ERC-ADG
Starting year	2019
Duration (year-month-day)	from 2019-06-01 to 2024-05-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE HEBREW UNIVERSITY OF JERUSALEM THE HEBREW UNIVERSITY OF JERUSALEM Organization address address: EDMOND J SAFRA CAMPUS GIVAT RAM city: JERUSALEM postcode: 91904 website: www.huji.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IL (JERUSALEM)	coordinator	2˙090˙625.00

Map

Project 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.

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The information about "HOMDYN" are provided by the European Opendata Portal: CORDIS opendata.