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SUMMARY:Interplay between geometry and topology in models of collective dy
 namics - Pierre Degond (CNRS (Centre national de la recherche scientifique
 ))
DTSTART:20220428T080000Z
DTEND:20220428T090000Z
UID:TALK172988@talks.cam.ac.uk
DESCRIPTION:Collective dynamics arises in systems of self-propelled partic
 les and plays an important role in life sciences\,&nbsp\;from collectively
  migrating cells in an embryo to flocking birds or schooling fish. It has 
 stimulated intense&nbsp\;mathematical research in the last decade. Many di
 fferent models have been proposed but most of them rely on point&nbsp\;par
 ticles. In practice\, particles often have more complex geometrical struct
 ures. Here\, we will consider particles&nbsp\;as rigid bodies whose body a
 ttitude is described by an orthonormal frame. Particles tend to align thei
 r frame with&nbsp\;those of their neighbours. A hydrodynamic model will be
  derived when the number of particles is large. It will be&nbsp\;used to e
 xhibit solutions having non-trivial topology. We will investigate whether 
 topology provides enhanced&nbsp\;stability against perturbations\, as obse
 rved in other systems such as topological insulators. This talk is based&n
 bsp\;on recent results issued from collaborations with Antoine Diez\, Amic
  Frouvelle\, Sara Merino-Aceituno\,&nbsp\;Mingye Na and Ariane Trescases.
LOCATION:Seminar Room 1\, Newton Institute
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