Boguslaw Zegarlinski , Imperial College London
Dissipative Dynamics for Large Interacting Systems
Lunedì 30 Gennaio 2017, ore 16:00
Aula Seminari del 6 piano | |
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Alessio Figalli, ETH Zurich
Convergence to equilibrium via quantitative stability
Lunedì 07 Novembre 2016, ore 16:30
Aula Chisini, via Saldini 50 | |
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François Charles, Université Paris-Sud (Orsay)
Constructing curves on surfaces
Giovedì 06 Ottobre 2016, ore 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
Lunedì 03 Ottobre 2016, ore 16:03
Aula Chisini, via Saldini 50 | |
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Walter Craig, McMaster University
Vortex filament dynamics
Mercoledì 21 Settembre 2016, ore 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
Lunedì 11 Luglio 2016, ore 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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