Abstract
This project consist in develop reasearch in five areas which are part ofGeometry/Topology and there exist active groups in the state of São Paulo. These groups work in(a) Fixed Point and Coincidence Theory; (b) Bordism $(Z_2)^k$-equivariante and Group Cohomology; (c) Topology of the Manifolds; (d) Bordism and Homotopy Theory; (e) Braid Groups. The problems to be studied in each sub-area represent relevant contribution for the development of the sub area. To exemplify: the study of the coincidence theory for spaces with different dimension, the study of braid groups of surfaces, $(Z_2)^k$ equivariant bordism, fixed point of involutions, properties of generalized manifolds, Borsuk-Ulam type theorems, torsion invariants, classification problems in geometric topology and cobordism. As part of the project is expected to have visitor and mainly that the participants of the project can visit other institutions abroad, collaborates, to participate in conference, workshop, etc. creating good conditions for the development of the project. As result of the proximity of the sub-areas many participants more close related to one project will also be interested in other groups. Finally we expect provide some computer facilities for some people which have need and is notable to obtain in a regular basis from their own institutions. (AU)
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