miklos.abert at renyi.mta.hu

MTA Alfréd Rényi Institute of Mathematics
Reáltanoda utca 13-15.
H-1053 Budapest,

Research interest

I am interested in measured and asymptotic group theory, in particular spectral theory of graphs and groups, Benjamini-Schramm convergence, graph polynomials, stochastic processes on groups, rank gradient, invariant random subgroups, homology growth, sofic entropy, cellular automata and locally symmetric spaces.

My talk 'Invariant random subgroups and their applications' given 28 March 2014 in Paris, at the Institute Henri Poincaré (Asymptotic properties of infinite groups): VIDEO and FILE

Recent work

M. Abért, A Spectral Strong Approximation theorem for measure presenving actions [PDF]

M. Abért, A. Thom and B. Virág, Benjamini-Schramm convergence and pointwise convergence of the spectral measure [PDF]

M. Abért, P. Csikvári and T. Hubai, Matching measure, Benjamini--Schramm convergence and the monomer-dimer free energy [PDF]

M. Abért, P. Csikvári, P. Frenkel and G. Kun, Matchings in Benjamini-Schramm convergent graph sequences [PDF]

Upcoming talks and events organized

Generalized cohomology, Feb 8-13, 2015, Sde Boker, Israel

Frontiers in analysis and probability, Feb 19-20, 2015, Strasbourg, France

Asymptotic invariants of groups, Apr 13-17, 2015, CMI, Oxford, United Kingdom

Growth, symbolic dynamics and combinatorics of words in groups, June 1-6, 2015, ENS, Paris

Groups, Graphs and Stochastic Processes, June 21-26, 2015, Banff Research Center (organizing with Omer Angel and Bálint Virág)

Geometric group theory, July 13-17, 2015, CIRM, Marseille, France

Asymptotic group theory, Aug 17-21, 2015, Renyi Institute, Budapest, Hungary (organizing with Laci Pyber)

Manifolds and Groups, Sep 7-12, 2015, Ventotene, Italy

Statistical physics on transitive graphs, Oct 4 - 10, 2015, CIB, Lausanne, Switzerland

Ergodic theory, fractals and groups, Oct 11-15, 2015, IAS Jerusalem, Israel

Seminar Algebra, Geometrie und Kombinatorik, Nov 19, 2015, Technische Universitat Dresden, Germany

Spectrum of Random Graphs, 4 - 8 January, 2016, CIRM, Marseille, France

ESI Programme in Measured Group Theory, 18 Jan - 18 March, 2016, ESI, Viena, Austria (organizing with Goulnara Arzhantseva, Damien Gaboriau, Thomas Schick and Andreas Thom)

Measured group theory, 28 Aug - 3 September, 2016, MFO, Oberwolfach, Germany (organizing with Damien Gaboriau and Andreas Thom)

Amenability of discrete groups, 26 - 30 September, 2016, AIM, Palo Alto, US

Groups, Manifolds and K-theory, 5 - 9 June, 2017, Münster, Germany

MTA "Lendület" Research Group

Starting in 2012, I am leading the MTA "Lendület" Groups and Graphs Research Group. Members: Miklós Abért, Péter Csikvári, Endre Csóka, Gábor Elek, Péter Frenkel, Tamás Hubai, Gábor Kun, Gábor Lippner, Ádám Timár and Endre Szabó.

Open questions

This is a list of questions that I am interested in [PDF]. Many of them belong to other people (when I think I know the source, I name it) and some are purely speculative. It may make sense to contact me before putting a lot of work in one of them as it may have been solved (last update: Nov 2, 2010). Good luck with them.