[Todos CMAT] Seminario Representaciones

[Marcelo Lanzilotta]

Mañana viernes 5 de marzo, a las 10 hs. en el salón de seminarios del
IMERL, tendremos el agrado de escuchar a Kiyoshi Igusa, presentando:

Comparison of views on finitistic projective dimension

Kiyoshi Igusa

The finitistic dimension conjecture says that the projective
dimension of finitely generated modules over an Artin algebra is
bounded when finite. The conjecture is known for algebras of
representation dimension 3, for modules of Loevey length 2 and for
stratifying systems with at most 2 indecomposable modules of
infinite projective dimension (Huard, Lanzilotta, Mendoza
\cite{HLM08}). We would like to increase these numbers by one.

We will look at stratifying systems of size 3 and examine the
corresponding subquivers, Koszul dual systems for the representation
dimension 4 case and the advantages of reduction to the case of
finite fields. In some cases the corresponding statements are easier
to solve and I will show how this works for the self-dual zero
relation case. This is joint work with Gordana Todorov.


Están toditos invitados,

 				Marcelo

ps: la invitación sale hoy pues reciencito me ha confirmado la exposición.