Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics
Topics include geometric and combinatorial theory of groups, asymptotic and probabilistic methods as well as the algorithmic and computational aspects of groups, and applications. This year’s conference will emphasize topics in Groups and Dynamics, including random walks, groups of dynamical origin, and the thermodynamic formalism.
This workshop serves as the 16th installment of the annual conference on Geometric and Asymptotic Group Theory with Applications (GAGTA). See gagta.org for the conference series.
Supported by:
Erwin Schrödinger Institute (ESI)
NSF conference proposal DMS-2311110. (GAGTA 2023), PI Kim Ruane, Tufts University
Samsung Science and Technology Foundation (SSTF-BA1301-51), PI Sang-Hyun Kim, KIAS
Austrian Science Fund (FWF): P 34214-N, PI Christopher Cashen, University of Vienna
July 17, 2023
July 18, 2023
July 19, 2023
July 20, 2023
July 21, 2023
09:00 — 09:30
Registration & Welcome
09:30 — 10:15
Pierre Mathieu (U Aix-Marseille)
Boundaries of random walks on (hyperbolic) groups
Boundaries of random walks on (hyperbolic) groups
10:15 — 11:00
Coffee break
11:00 — 11:45
Delaram Kahrobaei (CUNY, New York)
Post-quantum Blockchains using hash functions using higher dimensional special linear groups over finite fields as platforms
Post-quantum Blockchains using hash functions using higher dimensional special linear groups over finite fields as platforms
12:00 — 14:00
Lunch break
14:00 — 14:40
Tomasz Z. Szarek (BCAM, Bilbao)
Pointwise ergodic theorems on nilpotent groups
Pointwise ergodic theorems on nilpotent groups
14:00 — 14:40
Donggyun Seo (Seoul National U)
RAAGs generated by Dehn twists with uniform intersection number
RAAGs generated by Dehn twists with uniform intersection number
Parallel session at the Schrödinger Lecture Hall
14:50 — 15:30
Arman Darbinyan (U of Vienna)
Orderable groups and their computability properties
Orderable groups and their computability properties
14:50 — 15:30
Harry Petyt (U Oxford)
Obstructions to coarse cubulation
Obstructions to coarse cubulation
Recording
Parallel session at the Schrödinger Lecture Hall
15:30 — 16:00
Coffee break
16:00 — 16:40
Michele Triestino (UB)
Actions on the circle with at most N fixed points
Actions on the circle with at most N fixed points
16:00 — 16:40
Matt Cordes (ETH Zurich)
Coxeter groups with (locally)-connected Morse boundary
Coxeter groups with (locally)-connected Morse boundary
Parallel session at the Schrödinger Lecture Hall
09:00 — 09:45
Volodymyr Nekrashevych (TAMU, College Station)
Topological and conformal dimensions of self-similar groups
Topological and conformal dimensions of self-similar groups
10:00 — 10:45
Tom Hutchcroft (CalTech)
Uniqueness and non-uniqueness for percolation on groups
Uniqueness and non-uniqueness for percolation on groups
10:45 — 11:15
Coffee break
11:15 — 12:00
Quick Talks
11:17 — 11:27
Henry Bradford (U of Cambridge)
Equations with constants in some hyperbolic and linear groups
Equations with constants in some hyperbolic and linear groups
11:28 — 11:38
Davide Spriano (U Oxford)
Hyperbolicity of uniquely geodesic group
Hyperbolicity of uniquely geodesic group
11:39 — 11:49
Hanna Oppelmayer (U of Innsbruck)
Amenable IRAs
Amenable IRAs
11:50 — 12:00
Kevin Li (U Regensburg)
Complexity of groups via open covers
Complexity of groups via open covers
12:00 — 14:00
Lunch break
14:00 — 14:40
James Hyde (U of Copenhagen)
Finitely Presented Simple Groups of Homeomorphisms of the Reals
Finitely Presented Simple Groups of Homeomorphisms of the Reals
14:00 — 14:40
Ariel Yadin (Ben-Gurion U, Beer-Sheva)
Metric-functional boundary of Cayley graphs
Metric-functional boundary of Cayley graphs
Recording
Parallel session at the Schrödinger Lecture Hall
14:50 — 15:30
Franceso Fournier-Facio (ETH Zurich)
Ulam stability of Thompson groups
Ulam stability of Thompson groups
14:50 — 15:30
Adam Dor-On (Haifa U.)
Ratio-limit boundaries for random walks on relatively hyperbolic groups.
Ratio-limit boundaries for random walks on relatively hyperbolic groups.
Slides
Parallel session at the Schrödinger Lecture Hall
15:30 — 16:00
Coffee break
16:00 — 16:40
Javier de la Nuez González (KIAS, Seoul)
Minimality of the compact-open topology on diffeomorphism and homeomorphism groups
Minimality of the compact-open topology on diffeomorphism and homeomorphism groups
16:00 — 16:40
Ecaterina Sava-Huss (U of Innsbruck)
Abelian sandpile Markov chains
Abelian sandpile Markov chains
Parallel session at the Schrödinger Lecture Hall
09:00 — 09:45
Richard Sharp (U Warwick)
A non-symmetric Kesten criterion for random walks on groups
A non-symmetric Kesten criterion for random walks on groups
10:00 — 10:45
Alexander Stottmeister (ITP Hannover)
Operator Algebras, the Renormalization Group, and Jones’ Actions of Thompson’s Groups
Operator Algebras, the Renormalization Group, and Jones’ Actions of Thompson’s Groups
10:45 — 11:15
Coffee break
11:00 — 11:45
Poster Session
11:45 — 12:30
Problem Session
12:30 — 16:40
Free collaboration time/time to solve the problems from the Problem Session
09:00 — 09:45
Collin Bleak (U of St Andrews)
Embeddings into Finitely Presented Simple Groups
Embeddings into Finitely Presented Simple Groups
10:00 — 10:45
Clara Löh (U Regensburg)
Vanishing of logarithmic torsion homology growth via dynamics
Vanishing of logarithmic torsion homology growth via dynamics
10:45 — 11:15
Coffee break
11:15 — 12:00
Nicolás Matte Bon (Institute Camille Jordan, U Lyon)
Liouville property for self-similar groups via conformal dimension
Liouville property for self-similar groups via conformal dimension
12:00 — 14:00
Lunch break
14:00 — 14:40
Rémi Coulon (UB)
Equations in periodic groups
Equations in periodic groups
14:00 — 14:40
Joseph Maher (CUNY, New York)
Singularity of measures for Cannon-Thurston maps
Singularity of measures for Cannon-Thurston maps
Recording
Parallel session at the Schrödinger Lecture Hall
14:40 — 15:10
Coffee break
15:10 — 15:50
Samuel Tapie (U Lorraine)
Entropy at infinity in negative curvature and applications
Entropy at infinity in negative curvature and applications
15:10 — 15:50
Talia Fernós (UNCG)
An invitation to the lifting decomposition
An invitation to the lifting decomposition
Recording
Parallel session at the Schrödinger Lecture Hall
15:50 — 16:40
Free discussion
10:00 — 10:45
Pim van der Hoorn (TU Eindhoven)
Convergence of Ollivier-Ricci curvature in random geometric graphs on Riemannian manifolds
Convergence of Ollivier-Ricci curvature in random geometric graphs on Riemannian manifolds
10:45 — 11:15
Coffee break
11:15 — 12:00
Kasra Rafi (U Toronto)
The quasi-redirecting boundary.
The quasi-redirecting boundary.
12:00 — 14:00
Lunch break
14:00 — 14:40
Cagri Sert (U Zurich)
Counting limit theorems for representations of Gromov-hyperbolic groups
Counting limit theorems for representations of Gromov-hyperbolic groups
14:00 — 14:40
Yulan Qing (Fudan)
Boundary of Groups
Boundary of Groups
Recording
Parallel session at the Schrödinger Lecture Hall
14:40 — 15:10
Coffee break
15:10 — 15:50
Thomas Koberda (U Virginia)
First order theory of homeomorphism groups of compact manifolds
First order theory of homeomorphism groups of compact manifolds
15:10 — 15:50
Ilya Gekhtman (Technion Haifa)
Stationary random subgroups and injectivity radius of hyperbolic manifolds
Stationary random subgroups and injectivity radius of hyperbolic manifolds
Recording
Parallel session at the Schrödinger Lecture Hall
15:50 — 16:40
Free discussion
Organizers
| Name | Affiliation |
|---|---|
| Christopher Cashen | University of Vienna |
| Javier de la Nuez González | Korea Institute for Advanced Study |
| Alexandra Edletzberger | University of Vienna |
| Yash Lodha | University of Hawaii |
Attendees
| Name | Affiliation |
|---|---|
| Goulnara Arzhantseva | University of Vienna |
| Jennifer Beck | University of North Carolina Greensboro |
| Mark Bell | None |
| Alex Bishop | University of Genève |
| Collin Bleak | University of St Andrews |
| Corentin Bodart | Universite de Geneve |
| Henry Bradford | University of Cambridge |
| Mark Brittenham | University of Nebraska, Lincoln |
| Zixiang Chow | Fudan University |
| Laura Ciobanu | Heriot-Watt University |
| Matt Cordes | ETH Zürich |
| Rémi Coulon | Université de Bourgogne |
| Arman Darbinyan | University of Vienna |
| Jonas Deré | Katholieke Universiteit Leuven |
| Adam Dor-On | University of Haifa |
| Mikhail Ershov | University of Virginia |
| Wu Fan | Fudan University |
| Darien Farnham | University of Virginia |
| Pawel Fedorynski | University of Hawaii |
| Talia Fernós | University of North Carolina Greensboro |
| Sydney Fields | University of Hawaii |
| Nate Fisher | University of Wisconsin Madison |
| Franceso Fournier-Facio | ETH Zürich |
| Jacob Garcia | University of California, Riverside |
| Ilya Gekhtman | Technion Haifa |
| Anthony Genevois | University of Montpellier |
| Jiyoung Han | Korea Institute for Advanced Study |
| Yo Hasegawa | Osaka University |
| Wolfgang Herfort | Technical University of Vienna |
| Susan Hermiller | University of Nebraska, Lincoln |
| Tom Hutchcroft | California Institute of Technology |
| James Hyde | University of Copenhagen |
| Merlin Incerti-Medici | University of Vienna |
| Ana Isaković | University of Cambridge |
| Wonyong Jang | Korea Advanced Institute of Science & Technology |
| Arie Juhasz | Technion Haifa |
| Delaram Kahrobaei | City University of New York |
| Ilya Kapovich | City University of New York |
| Annette Karrer | McGill University |
| Olga Kharlampovich | City University of New York |
| Jaeyoung Kim | Seoul National University |
| Sang-hyun Kim | Korea Institute for Advanced Study |
| Thomas Koberda | University of Virginia |
| Ian Leary | University of Southampton |
| Jean Lécureux | Université Paris-Saclay |
| Francois Ledrappier | University of Notre Dame du Lac |
| Gilbert Levitt | University of Caen |
| Kevin Li | Universität Regensburg |
| Clara Löh | Universität Regensburg |
| Antonio Lopez Neumann | Ecole Polytechnique, Palaiseau |
| Joel Louwsma | Niagara University |
| Olga Lukina | Leiden University |
| Igor Lysenok | - |
| Joseph Maher | City University of New York |
| Richard Mandel | None |
| Alexis Marchand | University of Cambridge |
| Pierre Mathieu | University Aix-Marseille |
| Nicolás Matte Bon | Institute Camille Jordan |
| Rob Merrell | University of Oklahoma |
| Francesco Milizia | Scuola Normale Superiore |
| Biswajit Nag | Tata Institute of Fundamental Research, Mumbai |
| Volodymyr Nekrashevych | Texas A & M University |
| Josiah Oh | Ohio State University |
| Sangrok Oh | University Politecnic Valencia |
| Hanna Oppelmayer | University of Innsbruck |
| Shane ORourke | Munster Technological University |
| Leon Pernak | University of Saarland |
| Harry Petyt | University of Oxford |
| Yulan Qing | Fudan University |
| Kasra Rafi | University of Toronto |
| Sven Raum | University of Potsdam |
| Anna Ribelles Pérez | Ludwig-Maximilians-University Munich |
| Ecaterina Sava-Huss | University of Innsbruck |
| Eduard Schesler | Fernuniversität Hagen |
| Donggyun Seo | Seoul National University |
| Cagri Sert | University of Zurich |
| Asif Shaikh | None |
| Richard Sharp | University of Warwick |
| Vladimir Shpilrain | None |
| Lin Shu | Peking University |
| Eduardo Silva | Ecole Normale Superieure |
| Rūta Šliažkaitė | University of Warwick |
| Ignat Soroko | None |
| Davide Spriano | University of Oxford |
| Yves Stalder | Unviersity of Clermont Auvergne |
| Markus Steenbock | University of Vienna |
| Alexander Stottmeister | Institut für Theoretische Physik |
| Tomasz Z. Szarek | Basque Center for Applied Mathematics |
| Samuel Tapie | University of Lorraine |
| Vera Tonic | University of Rijeka |
| Michele Triestino | Université de Bourgogne |
| Petra Lynn Vanderhei | University of Nebraska, Lincoln |
| Pim van der Hoorn | Technical University Eindhoven |
| Elliott Vest | University of California, Riverside |
| Pascal Weil | CNRS |
| Ariel Yadin | Ben-Gurion University of the Negev |
| Mengfei Zhao | Fudan University |
| Tianyi Zheng | University of California, San Diego |
Michele Triestino (UB): Actions on the circle with at most N fixed points
July 17, 2023 16:00 — 16:40
July 17, 2023 16:00 — 16:40
Volodymyr Nekrashevych (TAMU, College Station): Topological and conformal dimensions of self-similar groups
July 18, 2023 09:00 — 09:45
July 18, 2023 09:00 — 09:45
Tom Hutchcroft (CalTech): Uniqueness and non-uniqueness for percolation on groups
July 18, 2023 10:00 — 10:45
July 18, 2023 10:00 — 10:45
Henry Bradford (U of Cambridge): Equations with constants in some hyperbolic and linear groups
July 18, 2023 11:17 — 11:27
July 18, 2023 11:17 — 11:27
James Hyde (U of Copenhagen): Finitely Presented Simple Groups of Homeomorphisms of the Reals
July 18, 2023 14:00 — 14:40
July 18, 2023 14:00 — 14:40
Ariel Yadin (Ben-Gurion U, Beer-Sheva): Metric-functional boundary of Cayley graphs
July 18, 2023 14:00 — 14:40
July 18, 2023 14:00 — 14:40
Javier de la Nuez González (KIAS, Seoul): Minimality of the compact-open topology on diffeomorphism and homeomorphism groups
July 18, 2023 16:00 — 16:40
July 18, 2023 16:00 — 16:40
Richard Sharp (U Warwick): A non-symmetric Kesten criterion for random walks on groups
July 19, 2023 09:00 — 09:45
July 19, 2023 09:00 — 09:45
Alexander Stottmeister (ITP Hannover): Operator Algebras, the Renormalization Group, and Jones’ Actions of Thompson’s Groups
July 19, 2023 10:00 — 10:45
July 19, 2023 10:00 — 10:45
Collin Bleak (U of St Andrews): Embeddings into Finitely Presented Simple Groups
July 20, 2023 09:00 — 09:45
July 20, 2023 09:00 — 09:45
Clara Löh (U Regensburg): Vanishing of logarithmic torsion homology growth via dynamics
July 20, 2023 10:00 — 10:45
July 20, 2023 10:00 — 10:45
Nicolás Matte Bon (Institute Camille Jordan, U Lyon): Liouville property for self-similar groups via conformal dimension
July 20, 2023 11:15 — 12:00
July 20, 2023 11:15 — 12:00
Joseph Maher (CUNY, New York): Singularity of measures for Cannon-Thurston maps
July 20, 2023 14:00 — 14:40
July 20, 2023 14:00 — 14:40
Samuel Tapie (U Lorraine): Entropy at infinity in negative curvature and applications
July 20, 2023 15:10 — 15:50
July 20, 2023 15:10 — 15:50
Pim van der Hoorn (TU Eindhoven): Convergence of Ollivier-Ricci curvature in random geometric graphs on Riemannian manifolds
July 21, 2023 10:00 — 10:45
July 21, 2023 10:00 — 10:45
Cagri Sert (U Zurich): Counting limit theorems for representations of Gromov-hyperbolic groups
July 21, 2023 14:00 — 14:40
July 21, 2023 14:00 — 14:40
Thomas Koberda (U Virginia): First order theory of homeomorphism groups of compact manifolds
July 21, 2023 15:10 — 15:50
July 21, 2023 15:10 — 15:50
Ilya Gekhtman (Technion Haifa): Stationary random subgroups and injectivity radius of hyperbolic manifolds
July 21, 2023 15:10 — 15:50
July 21, 2023 15:10 — 15:50
At a glance
- Type:
- Workshop
- When:
- July 17, 2023 — July 21, 2023
- Where:
- ESI Schrödinger and Boltzmann Lecture Hall
- Organizer(s):
-
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)