Geometria em Lisboa

15 April 2003, 17h00

A homotopy decomposition for a group of symplectomorphisms of S^2 x S^2
Sala P3.10-Dep. Mat./IST

Gustavo Granja (IST)

Abstract:

In joint work with Silvia Anjos we continue the analysis by Abreu, MacDuff and Anjos of the topology of the group of symplectomorphisms of S^2 x S^2 when the ratio of the areas of the spheres lie in the interval ]1,2]. We express the group of symplectomorphisms up to homotopy as the pushout (or amalgam) of certain compact Lie subgroups. We use this to give a homotopy decomposition of its classifying space and compute the corresponding ring of characteristic classes for symplectic fibrations. 

Time: Tea 4.30 pm, Talk 5.00 pm 
Place: Instituto Superior Técnico 
Tea: sala Comum, piso 3 do Edifício de pós-Graduação 
Room: sala P 3.10, piso 3 do mesmo edifício 
(edifício do Departamento de Matemática)
Notas: Organização: CAMGSD/IST e CMAF/FC/UL 
Informações: mabreu@math.ist.utl.pt ou mjferr@lmc.fc.ul.pt 
tel: 21 841 7105 ou 21 790 4854

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