Speaker

:

Prof. shiva Shankar

Affiliation

:

Chennai Mathematical Institute
 

Subject Area

:

Mathematics

Venue

:

Lecture Hall - I, Dept of Mathematics

Time

:

2.00 pm

Date  

:

January 11, 2007 (Thursday)

Title

:

Elimination for PDE

In this talk I introduce a notion of "geometric completeness" for spaces
of distributions, modelled after the notion of a complete variety in
algebraic geometry. It is related to the followng "elimination problem"
for systems of PDE: consider the set of homogeneous solutions of a system
of PDE in some space of distributions. When is the projection of this set
onto some of its co-ordinates also the set of homogeneous solutions of a
system of PDE?