Department of Mathematics

Geometry and Topology

  •  Anosov diffeomorphisms on nilmanifolds and algebraic units in number fields
  •  11/02/2017
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Meera Mainkar, Central Michigan University (Visiting MSU this term)

Anosov diffeomorphisms on nilmanifolds play an important and beautiful role in dynamics as the notion represents the most perfect kind of global hyperbolic behaviour, giving examples of structurally stable dynamical systems. Anosov diffeomorphisms on nilmanifolds give rise to special type of algebraic units in number fields. We will explore the properties of these algebraic units to understand the structure of the Lie algebra of the simply connected cover of the nilmanifolds admitting Anosov diffeomorphism.

 

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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