Castelnuovo-Mumford regularity and graph invariants
 
 
Description:  The work of R. Stanley exposed a strong link between the theory of ideals of a polynomial ring generated by monomials and the theory of simplicial complexes. Recently, other bridges have been established between combinatorial structures and classes of ideals not necessarily generated by monomials. The Castelnuovo-Mumford regularity of a module over the polynomial ring is a basic invariant of the module. It is related with its free resolution and is, indeed, a measure of its complexity. It is natural to expect that, whenever a link between a class of ideals of a polynomial ring and a certain type of combinatorial structure exists, the Castelnuovo-Mumford regularity will translate into a meaningful combinatorial invariant. The focus of this talk will be on a recent joint work with A. Macchia (CMUC), Maria Vaz Pinto (CAMGSD, Lisbon) and Rafael Villarreal (Cinvestav, Mexico) in which the Castelnuovo-Mumford regularity of a particular class of ideals associated to graphs is equated with the combinatorics of the graph.
Date:  2016-12-16
Start Time:   15:40
Speaker:  Jorge Neves (CMUC, Univ. Coimbra)
Institution:  CMUC
Place:  Room 2.5
Organization:  UC|UP Joint PhD Program in Mathematics
See more:   <Main>   <UC|UP MATH PhD Program>  
 
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