The theory of motion groups: a contemporary perspective

speaker: Celeste Damiani (Istituto Italiano di Tecnologia)

abstract: Describing self-homeomorphisms of a surface with marked points in its interior. Giving a group presentation to families of changing configurations of links in a 3-dimensional space. Characterising the space of embeddings of a submanifold in an ambient manifold. All these constructions use different formalisms to carry out the task of describing the various ways to continuously move a subspace within a larger space over a certain time, ultimately returning the subspace to its original position. The theory of motion groups began in the 1960s as a programme to provide a general framework for addressing this task, drawing inspiration from Artin braid groups. In this talk, we will provide an overview of known results and explore questions, approaches, and mathematical languages for a modern theory of motions.

timetable:
Thu 19 Sep, 15:30 - 16:30, Aula Dini
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