[Todos CMAT] SAGA

[Alvaro Rittatore]

Estimados

este jueves 19 (14 hs) en el seminario de algebra, geometria algebraica y teoria
de numeros hablara Francois Huard (Bishop University, Sherbrooke,
Quebec)


Titulo The finitistic dimension conjecture, old and new results

Resumen:
Given a finite dimensional $k$-algebra $A$, and an $A$-module $M$,
one can always compute the projective dimension of $M$, pd$\,M$.
The latter can be finite or infinite.  We thus have a new invariant, the
finitistic dimension of $A$, defined as

fin.dim.$\,A=\sup\{\hbox{pd }M : M\in \hbox{mod } A \hbox{and pd 
}M<\infty\}$.

Bass conjectured in the 60's that fin.dim.$\,A$ is always finite.  We
will discuss old and recent advances on this  conjecture.


estan todos invitados
alvaro