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First-order rigidity, bi-interpretability, and congruence subgroups - Nir Avni
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Classroom Contents
Arithmetic Groups - Advanced Topics in Rigidity, Cohomology, and Dynamics
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- 1 First order rigidity of high-rank arithmetic groups - Alexander Lubotzky
- 2 First-order rigidity, bi-interpretability, and congruence subgroups - Nir Avni
- 3 Groups with bounded generation: properties and examples - Andrei S. Rapinchuk
- 4 The congruence subgroup property for SL(2,Z) - William Yun Chen
- 5 Algebraicity/holonomicity theorems - Vesselin Dimitrov and Frank Calegari
- 6 Commutators in SL_2 and Markoff Surfaces - Peter Sarnak
- 7 Commutators in SL_2 and Markoff Surfaces - Chen Meiri
- 8 Grothendieck Pairs and Profinite Rigidity - Martin Bridson
- 9 Profinite Completions and Representation Rigidity - Ryan Spitler
- 10 From PSL2 representation rigidity to profinite rigidity - Alan Reid and Ben McReynolds
- 11 Anosov groups: local mixing, counting, and equidistribution - Minju Lee
- 12 Effective equidistribution of some one-parameter unipotent flows with polynom...- Elon Lindenstrauss
- 13 Effective equidistribution of some one-parameter unipotent flows... - Amir Mohammadi and Zhiren Wang
- 14 Review of vanishing for bounded cohomology, in preparation for stability - Nicolas Monod
- 15 Asymptotic Bounded Cohomology and Uniform Stability of high-rank lattices - Bharatram Rangarajan
- 16 Canonical forms for free group automorphisms - Jean Pierre Mutanguha
- 17 Growth of Bianchi modular forms - Weibo Fu
- 18 Arithmetic and Dynamics on Varieties of Markoff Type -Alexander Gamburd
- 19 Bounded Generation via Diophantine Geometry - Jinbo Ren
