Boguslaw Zegarlinski , Imperial College London Dissipative Dynamics for Large Interacting Systems Monday, January 30 2017, at 16:00 Aula Seminari del 6 piano |
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Alessio Figalli, ETH Zurich Convergence to equilibrium via quantitative stability Monday, November 07 2016, at 16:30 Aula Chisini, via Saldini 50 |
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François Charles, Université Paris-Sud (Orsay) Constructing curves on surfaces Thursday, October 06 2016, at 16:30 Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 |
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Endre Szemerédi, Rutgers University On the fundamental theorem of Freiman Monday, October 03 2016, at 16:03 Aula Chisini, via Saldini 50 |
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Walter Craig, McMaster University Vortex filament dynamics Wednesday, September 21 2016, at 16:30 precise Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 |
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Elon Lindenstrauss, Hebrew University of Jerusalem DIAGONAL FLOWS, JOININGS AND ARITHMETIC Monday, July 11 2016, at 16:30 Aula Chisini, via Saldini 50 |
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Abstract
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Arithmetic quotients of algebraic groups such as the space of unit volume lattices in R^n can be studied fruitfully from many directions and contain deep and subtle arithmetic information. Homogeneous dynamics studies these spaces by considering the action of a subgroup of the algebraic group on such a quotient. Of particular interest is the action of multiparameter diagonal groups: these display remarkable rigidity properties that are absent in the context of one parameter diagonalizable group actions.
One aspect of this rigidity is joining rigidity: under suitable conditions, knowing that an orbit of a multiparameter diagonalizable group in a product of two arithmetic quotients is equidistributed in each one of these quotients individually implies joint equidistribution.
I would explain this phenomena as well as some arithmetic consequences.
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