Working session: Thin groups and super-approximation. Abstracts from the working session held October 10--15, 2021 (hybrid meeting)
DOI10.4171/OWR/2021/50zbMath1506.00092OpenAlexW4310084476MaRDI QIDQ2693047
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Publication date: 17 March 2023
Published in: Oberwolfach Reports (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/owr/2021/50
Proceedings of conferences of miscellaneous specific interest (00B25) Asymptotic results on counting functions for algebraic and topological structures (11N45) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory (37-06) Collections of abstracts of lectures (00B05) Discrete subgroups of Lie groups (22E40) Proceedings, conferences, collections, etc. pertaining to topological groups (22-06)
Cites Work
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- A spectral gap theorem in simple Lie groups
- Generalization of Selberg's \(\frac {3}{16} \) theorem and affine sieve
- Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.
- Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions.
- Strong approximation in the Apollonian group
- Expansion in \(\mathrm{SL}_d(\mathcal O_K/I)\), \(I\) square-free.
- Asymptotic properties of linear groups
- A spectral gap theorem in SU\((d)\)
- Horocycle flow on geometrically finite surfaces
- Density properties for certain subgroups of semi-simple groups without compact components
- Arithmetic subgroups of algebraic groups
- On the spectral gap for infinite index ``congruence subgroups of \(SL_2(\mathbb{Z})\)
- Expansion and random walks in \(\text{SL}_d(\mathbb{Z}/p^n\mathbb{Z})\). II.
- Affine linear sieve, expanders, and sum-product
- Almost prime coordinates for anisotropic and thin Pythagorean orbits
- Mixing of frame flow for rank one locally symmetric spaces and measure classification
- Distribution of periodic torus orbits on homogeneous spaces
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
- On the rate of mixing of Axiom A flows
- On subgroups of \(GL_ n(F_ p)\)
- Monodromy for the hypergeometric function \(_ nF_{n-1}\)
- On decay of correlations in Anosov flows
- The density at infinity of a discrete group of hyperbolic motions
- The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
- Continued fraction Cantor sets, Hausdorff dimension, and functional analysis
- Ramanujan duals. II
- The limit set of a Fuchsian group
- Density of integer points on affine homogeneous varieties
- Mixing, counting, and equidistribution in Lie groups
- A statistical theorem of set addition
- Apollonian circle packings: Number theory
- Démonstration de la conjecture \(\tau\). (Proof of the \(\tau\)-conjecture.)
- Strong approximation for Zariski dense subgroups over arbitrary global fields
- On the mixing property for hyperbolic systems
- On contact Anosov flows
- On uniform exponential growth for linear groups.
- A sum-product estimate in finite fields, and applications
- Expansion in perfect groups.
- Super-approximation. II: The \(p\)-adic case and the case of bounded powers of square-free integers
- Apollonian circle packings: dynamics and number theory
- Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds
- On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú
- Uniform congruence counting for Schottky semigroups in \(\mathrm{SL}_2(\mathbb{Z})\)
- Matrix coefficients, counting and primes for orbits of geometrically finite groups
- Counting, mixing and equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds
- An improvement to Zaremba's conjecture
- Product set estimates for non-commutative groups
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- Uniform expansion bounds for Cayley graphs of \(\text{SL}_2(\mathbb F_p)\).
- Arithmeticity of certain symplectic hypergeometric groups
- On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\)
- On the Erdős-Volkmann and Katz-Tao ring conjectures
- Markov partitions for Anosov flows on \(n\)-dimensional manifolds
- Beyond expansion. II: Low-lying fundamental geodesics.
- Harmonic analysis, Ergodic theory and Counting for thin groups
- Notes on Thin Matrix Groups
- Almost prime Pythagorean triples in thin orbits
- Spectra of Ruelle transfer operators for Axiom A flows
- Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond
- A proof of the positive density conjecture for integer Apollonian circle packings
- Congruence Properties of Zariski-Dense Subgroups I
- The Affine Sieve Beyond Expansion I: Thin Hypotenuses: Fig. 1.
- On irreducible representations of the Lorentz group of $n$-th order
- Super-approximation, I: $\mathfrak {p}$-adic semisimple case
- Ergodicité et équidistribution en courbure négative
- From Apollonius to Zaremba: Local-global phenomena in thin orbits
- Equidistribution and counting for orbits of geometrically finite hyperbolic groups
- WHAT IS...a Thin Group?
- Almost Primes in Thin Orbits of Pythagorean Triangles
- Local-global principles in circle packings
- Thin monodromy in Sp(4)
- Markov Partitions for Axiom A Diffeomorphisms
- Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of $\operatorname {SL}_2(\mathbb {Z})$
- Finite Unitary Reflection Groups
- On Zaremba's conjecture
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