| Amandine Escalier - Measure and orbit equivalence of graph products | right-angled Artin groups, CAT(0), Baumslag-Solitar Gruppen, Mapping class group, Graph, Freies Produkt, Direktes Produkt, Äußerer Automorphismus | - |
| Brita Nucinkis - Cohomological finiteness properties for totally disconnected locally compact groups | cohomological, K(G, 1) space, Endlich Erzeugte Gruppe, Endlich Präsentierbare Gruppe, Commutative Ring, Einfache Gruppe, HNN-Erweiterung, Homologiegruppe | - |
| Clara Löh - L2-invariants of groups | homological invariants, Betti Zahlen, Fouriertransformation (Analysis), Kurze Exakte Sequenz, Künneth Formel, Euler characteristic, Freies Produkt, Quasi-Isometry, Residuell Endliche Gruppe, De Rham Kohomologiegruppe | - |
| Eduardo Reyes - Green metrics and metric structures on hyperbolic groups | hyperbolic surface, Hyperbolic group, Gromov hyperbolic spaces, surface group, Cayley-Graph, Fundamental group, Teichmüller-space, Hyperbolic plane, Baum, Äußerer Automorphismus | - There is a very nice generalisation to Teichmüller space
- This space is currently not well understood.
- It contains all of GGT
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| Elia Fioravanti - Automorphisms of virtually special groups | Mapping class group, outer automorphism groups, Gromov-hyperbolic group, Mapping class group, Baumslag-Solitar Gruppen, Hyperbolic group, Fundamental group, Right-angled Artin group, Centraliser | - GL(Z), MCG and Out(Fn) are outer groups of special groups
- Bass-Serre, Amalgamated products and HNNs are everywhere in Out(G)
- Every group is the Out(G) of some other group and this is realised by complicated flats
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| Bruno Zaban - Self-similar Representations of Abelian groups | Semi-direct product | - Interest in tree automorphisms exists
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| Harry Iveson - Extracting a presentation for the outer automorphism group of a free product | Automorphismengruppe | We can study outer automorphisms using nice graphs |
| Jose Joaquin Dominguez Sanchez - Automorphisms of the separating curve graph in infinite-type surfaces | Abbildungsklassengruppe | The mapping class group is isomorphic to the Automorphism group of the seperating |
| Justin Vast - Irreducibility for BMW groups | | Danny Wise is studying Anti-Torus and BMW-Groups |
| Koichi Oyakawa - Geometry and dynamics of the extension graph of a graph product of groups | Semidirektes Produkt | We can create hyperbolic graphs using the wreath product |
| Martina Jørgensen - A higher rank hyperbolicity condition | Hyperbolic metric space | A nice generalisation of Gromov-hyperbolicity with good properties is defined |
| Lorenzo Ruffoni - The fundamental groups of 3-pseudomanifolds | Euler characteristic, CAT(-1), Fundamental group, Euler characteristic | - Pseudomanifols generalise manifolds
- RACG are virtually fundamental groups of this generalisation
- There is much we don’t know and there is a lot of classifiction research going on.
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| Swathi Krishna - Cannon-Thurston maps | Hyperbolic group, Gromov boundaries, Exakte Sequenz, quasi-isometrically embedded subgroup, Hyperbolic metric space, Ideal boundary (Hyperbolic space), Mapping torus, Universal cover, Raumfüllende Kurve, Pseudo-Anosov Homeomorphism | - |
| Thomaes Haettel - Group actions on Helly graphs and injective metric spaces - IV Lattices | hyperbolic groups, braid groups, mapping class groups, hyperbolic groups | - |
| Thomaes Haettel - Group actions on Helly graphs and injective metric spaces - I-III | hyperbolic groups, braid groups, mapping class groups, hyperbolic groups, Contractible space, Geodesic space, Hyperbolic group, Braid group, Hyperbolic plane, Hyperbolic group | - The question whether hyperbolic and braid groups are CAT(0) is open and Helly graph could help to answer the question.
- It is not known whether MCGs are Helly.
- Helly and Median graphs are weaker than hyperbolic graphs.
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| Radhika Gupta - Introduction to free-by-cyclic groups - I-III | Free group, hyperbolic, CAT(0), HNN-Erweiterung, Kurze Exakte Sequenz, Mapping torus, HNN-Erweiterung, Mapping torus, Spline, Pseudo-Anosov Homeomorphism | Free-by-cyclic groups are a generalisation of mapping tori |
| Radhika Gupta - Introduction to free-by-cyclic groups - IV 3-Manifolds | Free group, hyperbolic, CAT(0), Fundamental group, Pseudo-Anosov Homeomorphism, HNN-Erweiterung | - The Teichmüller polynomial can be used to compute stretch factors
- The BNS invariant is a subset of group homology and it indicates when a group is HNN
- Hironaka and Kielak studied this fibered face theory
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