The fifth Takagi Lectures
October 5, 2008 (Sun) 09:30--10:30
October 5, 2008 (Sun) 15:50--16:50
Graduate School of Mathematical Sciences
The University of Tokyo
Right-handed vector fields and the Lorenz attractor
École Normale Supérieure de Lyon)
These talks will discuss the dynamics of some vector fields in the
seen as topological objects. We shall introduce a concept of
right-handed vector fields,
somehow the analogue of positive braids, and we shall describe
their dynamics. In particular,
we shall show that their periodic orbits define fibered links.
The Lorenz attractor will
be our primary example of right-handed vector field, but we shall also
supply many other natural examples.