ALEX LUBOTSKY, Hebrew University and ETH-Zurich
COLLOQUIUM DIPARTIMENTO DI MATEMATICA E APPLICAZIONI, MILANO-BICOCCA con SEMINARIO MATEMATICO E FISICO DI MILANO: "High dimensional expanders: from Ramanujan graphs to Ramanujan complexes"
Giovedì 12 Maggio 2016, ore 15:30
Aula 3014, edificio U5 del Dipartimento di Matematica e Applicazioni, Universita' di Milano - Bicocca, Via R. Cozzi 55 | |
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Alessandro Giuliani, Università di Roma 3
Height fluctuations and universality relations in interacting dimer models
Mercoledì 04 Maggio 2016, ore 16:00
Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 |
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Abstract
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Two-dimensional dimer models are popular models, which are used to describe either the liquid phase of dense anisotropic molecules or, thanks to a well-known mapping between dimer configurations and discrete height functions, the rough phase of fluctuating random surfaces. The last few years witnessed important progresses in the understanding of the critical phase of dimer systems, including the proof of existence and conformal covariance of the scaling limit, and the proof of convergence of the discrete height field to the massless Gaussian Free Field (GFF), due to Kenyon, Okounkov and Sheffield. In this talk I will review some aspects of the theory of critical dimer models, which is based, in large part, on the celebrated Kasteleyn solution for `non-interacting' dimers, combined with discrete holomorphicity methods. I will also discuss a novel approach to *interacting* dimer models, based on constructive Renormalization Group techniques, which recently allowed us to prove the convergence of the discrete height function to the GFF, in the presence of non-integrable perturbations of the dimers' Gibbs measure, as well as the validity of a universality relation between the renormalized variance of the GFF and the critical exponent of the dimer-dimer correlations (in collaboration with V. Mastropietro and F. Toninelli)
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Ben Moonen, Universita'di Nijmegen
On the Tate and Mumford-Tate conjectures for varieties with h^{2,0}=1
Mercoledì 06 Aprile 2016, ore 17:00
Sala di rappresentanza, Dipartimento di Matematica, Università degli Studi, Via C. Saldini 50 | |
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Enzo Mitidieri, Università degli Studi di Trieste
Liouville Theorems in PDE’s: old and new
Martedì 15 Marzo 2016, ore 16:30
Sala Consiglio, 7 piano, Dipartimento di Matematica, Via Bonardi 9, Milano | |
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Camillo De Lellis, Universitaet Zuerich
Regularity and singularity of area-minimizing surfaces
Venerdì 26 Febbraio 2016, ore 11:00
Sala Consiglio, 7 piano, Dipartimento di Matematica, Via Bonardi 9, Milano | |
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