Matrices over local rings

Mon, 16/01/2017 - 14:00
Speaker: 
Seminar: 
Place: 
Abstract: 

Linear algebra over a field have been studied for centuries. In many branches of math one 
faces matrices over a ring, these came e.g. as "matrices of functions" or "matrices depending 
on parameters". Linear algebra over a (commutative, associative) ring is infinitely more 
complicated. Yet, some particular questions can be solved.
 I will speak about two problems: block-diagonalization (block-diagonal reduction) of matrices 
and stability of matrices under perturbations by higher-order-terms.