Geometria em Lisboa

8 July 2003, 17h00

On lifting isometries
Sala P3.10-Dep. Mat./IST

Nitya Kitchloo (Johns Hopkins University)

Abstract:

Given a principal G bundle E->B (where G is a compact connected lie group and E, B are closed manifolds). One would like to know if the isometry group of B can be made to act on E via bundle maps. This question was asked in the 60's by Palais and Stewart and they answer the question when G is a Torus. There were various subsequent proofs of this result for the case when G is a torus. We give another proof based on Yang-Mills theory. We also formulate the question for the case of G being a general compact Lie group and discuss related issues. 

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)
Notes: 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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