Semester on 'Geometry, Topology, and Group Theory in Low Dimensions'
This semester focuses on the interplay between geometric group theory and geometric topology in low-dimensions. There have recently been significant advances obtained by intertwining the two fields, and there is currently an incredible amount of research being done in this direction. Hyperbolic groups, relatively hyperbolic groups, groups with planar boundary, and group representations are topics which will be investigated by the Chair and her collaborators over this six-month intensive research stay.
The activities proposed during this semester will include:
This large conference focuses on how to determine if a group is the fundamental group of a 3-manifold and also studies structures on groups inspired by structures on 3-manifolds. It features an array of speakers from around the world working on these topics.
This event will aim to bring advanced graduate students and early researchers up-to-date on current research happening in '3-manifolds and Geometric Group Theory' particularly on the interplay between the two topics, where the theory of hyperbolic 3-manifolds is an important influence in the modern theory of hyperbolic groups and their relatives. It will provide depth in the individual fields, and highlight the ways that the fields interact.
This will focus on an extremely current topic and will take into account Cannon’s Conjecture and related conjectures, Relation to QIs, CAT(0) boundaries, Boundaries of Hyperbolic Buildings, Relatively hyperbolic groups and Rigidity. It brings together researchers working on a variety of answers to the fundamental question: What can the boundary of a group tell us about the group structure?
The idea is to gather more junior faculty and postdocs to speak on pre-assigned topics every fortnight outside the times when other chair events are scheduled. The international faculty lecturing will be assisted by teaching assistants.
A project with with Chris Hruska from the University of Wisconsin at Milwaukee.
A project with Sang-hyun Kim from Seoul National University.
Chair > PROF. GENEVIEVE WALSH
Genevieve Walsh is Associate Professor at Tufts University, Boston, where she specializes in topology and runs the Geometric Group Theory and Topology Seminar, and lectures on 'Hyperbolic Spaces and Hyperbolic Groups'. She already has a strong collaboration with colleagues in Marseille and has experience in co-organizing a number of conferences.
Local project leader > PROF. LUISA PAOLUZZI
Luisa Paoluzzi is Full Professor at the Institut de Mathématiques de Marseille. A graduate from Trieste University and SISSA where she earned her PhD., she has worked in several universities and regions in France then joined the University in Marseille. Her research interests involve 3-dimensional hyperbolic geometry and topology, knot theory and group theory.