Andrew du Plessis (Aarhus):
Topological equivalence and topological stability of smooth maps
Abstract:
A famous theorem of Mather shows that the topologically stable
maps lie dense in the space of all smooth maps with compact
source. Sadly, the theorem is non-explicit - it is extremely hard
to identify topologically stable maps on the basis of Mather's
work.
More recent work of myself and C. T. C. Wall has removed much of
the difficulty, by comparing the geometric and algebraic
properties of map-germs which are necessary for topological
stability to those which can be proved to be topologically stable
by some new analytic techniques. The result is a computable
characterisation of topological stability in a very wide range of
dimensions.
The lectures will be an introduction to the ideas involved in these results.
Local:
-
Edifício dos Departamentos de Matemática
Rua do Campo Alegre, 687
4169-007 Porto
Horário:
- Quarta-feira, dia 14 de Abril 11h30 - 12h30 (sala 0.35)
- Sexta-feira, dia 16 de Abril 11h30 - 12h30 (sala 1.26)
- Segunda-feira, dia 19 de Abril 9h30 - 10h30 (sala 0.06)
Contactos para informações:
Sofia Castro (sdcastro@fep.up.pt) ou Peter Gothen (pbgothen@fc.up.pt)