Mathematics Seminar - Wednesday, 6 April 2011

[Mabilo]

M A T H E M A T I C S   S E M I N A R S   2011

Wednesday, 6 April, at 14.30 hrs.

Stanley decompositions in localized polynomial rings

Dr. Asia Rauf
(ICTP)

Abstract:
Let K be a field, S=K[x1,... ,xn] be the polynomial ring in n variables 
over K. We introduce the concept of Stanley decompositions in the 
localized polynomial ring Sf  where f is a product of variables, and we 
show that the Stanley depth does not decrease upon localization. 
Furthermore it is shown that for monomial ideals J ? I ? Sf the number 
of maximal Stanley spaces in a Stanley decomposition of I /J is an 
invariant of I /J. For the proof of this result we introduce Hilbert 
series for multigraded K-vector spaces.

VENUE: Luigi Stasi Seminar Room, (ICTP Leonardo Building, first floor)