School of Mathematical Sciences
*** Note the special time and place ***
Wednesday, December 16, 2009
Shenkar 104, 13:15
Functorialities in the semi-classical world
In his famous paper on caustics, Hamilton introduced certain functions
geometrical optics (which he called point characteristics and angle
to describe what are known as canonical transformations of phase
Some ten years later he applied these ideas to mechanics. Hamilton
proved that the
composition of canonical transformations corresponds to the addition
of their characteristics.
I want to reformulate Hamilton's ideas into modern terms which are
useful in semi-classical and microlocal analysis.