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Content archived on 2024-06-16

Geometry of groups and manifolds


The project falls within the framework of research in geometric group theory, a new research field that combines the techniques and results of classical fields as geometry and group theory. This bridge between these fields gave rise to a quick and fruitful development of group theory, providing techniques to solve classical problems and opening new borders and horizons of research.

In particular, many computational problems that seemed quite hard using traditional viewpoints, have been solved via a geometric approach. Moreover, the very active moment of low-dimensional geometry (e.g. solution of Poincare, Geometrisation and Ending laminations conjectures) is now reflecting in geometric group theory, which is now under the spotlight of the whole international mathematical community.

During his Marie Curie Intra-European Fellowship, the researcher had the occasion to collaborate with the most important scientist in geometry and group theory, and the skills he acquired in that period permitted him to give important contributes to European research in geometric group theory.

The main purpose of the project GEOMGROUPSMFLD is to consolidate and increase the connections and contacts of Francaviglia with his international collaborators, and to create an active research group in geometric group theory in Pisa, Italy - the country of provenience of the researcher - where strong research groups in geometry and group theory are already active.

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Lungarno Pacinotti 43/44

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