GMODGAMMADYNAMICS (267259)

  https://cordis.europa.eu/project/id/267259

  FP7 (2007-2013)

  Dynamics on homogeneous spaces, spectra and arithmetic

  ERC Advanced Grant - Mathematical foundations (ERC-AG-PE1)

  mathematical physics  ·  arithmetics  ·  combinatorics

  2011-01-01 Start Date (YY-MM-DD)

  2016-12-31 End Date (YY-MM-DD)

  € 1,229,714 Total Cost

  Description

We consider the dynamics of actions on homogeneous spaces of algebraic groups, We propose to tackle the central open problems in the area, including understanding actions of diagonal groups on homogeneous spaces without an entropy assumption, a related conjecture of Furstenberg about measures on R / Z invariant under multiplication by 2 and 3, and obtaining a quantitative understanding of equidistribution properties of unipotent flows and groups generated by unipotents. This has applications in arithmetic, Diophantine approximations, the spectral theory of homogeneous spaces, mathematical physics, and other fields. Connections to arithmetic combinatorics will be pursued.

  Complicit Organisations

1 Israeli organisation participates in GMODGAMMADYNAMICS.