miklos.abert at renyi.mta.hu
MTA Alfréd Rényi Institute of Mathematics
Reáltanoda utca 13-15.
I am interested in measured and asymptotic group theory, in particular spectral theory of graphs and groups, local sampling convergence, graph polynomials, stochastic processes on groups, rank gradient, invariant random subgroups, homology growth, sofic entropy, cellular automata and locally symmetric spaces.
'Invariant random subgroups and their applications', Asymptotic properties of infinite groups,
28 March 2014, Institute Henri Poincaré, Paris:
VIDEO and FILE
'Graph convergence, Lück approximation mod p and the entropy of cellular automata',
Growth, symbolic dynamics and combinatorics of words in groups,
June 2, 2015, ENS, Paris: VIDEO
M. Abért, T. Gelander and N. Nikolov, Rank, combinatorial cost and homology torsion growth in higher rank lattices [PDF]
M. Abért, A Spectral Strong Approximation theorem for measure preserving 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
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)
Seminar Algebra, Geometrie und Kombinatorik, April 14, 2016, Technische Universitat Dresden, Germany
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
ERC Consolidator Research Group
Starting in 2015, I am leading the ERC Consolidator Grant "Asymptotic invariants of discrete groups, sparse graphs and locally symmetric spaces"
research group. Homepage of the group.
A postdoctoral position is open, starting September 2016 or before.
See Postdoctoral position for details.
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.