Tarde SPM/CIM - Teoria de anéis e aplicações

16/05/2009 a 16/05/2009

Local:Hotel Quinta das Lágrimas


14:00-14:35 Ana Paula Santana (Universidade de Coimbra)


Titulo: Álgebras de Schur

Abstract:  As álgebras de Schur são instrumentos fundamentais na teoria

das representações do grupo linear e do grupo simétrico.  Nesta palestra

apresento estas álgebras e as suas propriedades principais.

Exponho também resultados recentes sobre a construção de resoluções

minimais projectivas dos módulos simples da  subálgebra de Borel da

álgebra de Schur para GL(n).


14:40-15:15 Catarina Santa Clara (Universidade de Lisboa)


Title: Goldie dimension

Abstract: Goldie dimension extends the notion of dimension from vector

spaces to modules. We take a new look at some well-known dimension

formulas .


15:20 - 15:50 Jorge Vitória (University of Warwick, FCT)


Title: Constructing perverse coherent t-structures

Abstract: The study of t-structures on triangulated categories has

played an important role in representation theory and algebraic geometry

since the work of Beilinson, Bernstein and Deligne on perverse sheaves.

In this talk, we shall use tilting with respect to torsion theories on

the category of graded modules over the homogeneous coordinate ring of a

projective variety X to construct perverse coherent t-structures

(following Deligne and Bezrukavnikov)  on the derived category of

coherent sheaves over X.


Café


16:30 - 17:05 Kenneth A. Brown (University of Glasgow)


Title: Small infinite noncommutative groups

Abstract: The title is  partly a stupid joke, and in part it is meant to

suggest how we should think of the "fancy" title, which could be stated

as: "Classifying affine Hopf algebras of small Gel'fand-Kirillov

dimension". So the first part of the talk will explain the concepts in

both titles, and then the second part will report on recent joint work

with James Zhang (U of Washington).


17:10 - 18:00

Debate: Samuel Lopes (Universidade do Porto) e Christian Lomp

(Universidade do Porto) à conversa com Kenneth A. Brown (University ofGlasgow)

Tema: Teoria de anéis, que futuro?


Organizadora:Paula Carvalho Lomp (Universidade do Porto)

Inscrição: Contacte por correio electrónico a Organizadora, caso pretenda participar no evento.





Publicado/editado a 27/03/2009