Algebras associated to quivers

Description:  Given a small category I, its representation theory is, in essence, the study of the functor category [I,R-Mod] for some (not necessarily commutative) ring R. A case of interest is when we have I freely generated by a quiver Q. We construct an R-algebra RQ associated to this quiver Q in two distinct ways, then we sketch a proof that the aforementioned functor category is equivalent to the category of modules over RQ. Date:  2019-10-02 Start Time:   11:00 Speaker:  Rui Prezado (UC|UP PhD student) Institution:  CMUP Place:  Sala 004, UP Math. Dept. See more:   <Main>   <UC|UP MATH PhD Program>