Spiros Adams-florou

Biography

Dr Spiros Adams-Florou is a lecturer of mathematics in the The University of Glasgow. He is working there as a eminent lecturer. He has good subject knowledge. He has work experience more than 10 years in academic section.  

Research Interest

For X a (finite) simplicial complex that is homotopy equivalent to a manifold the topological surgery exact sequence of X can be identified with the algebraic surgery exact sequence of X. The latter sequence, due to Ranicki, is defined using simplicially controlled categories. I seek to generalise the algebraic subdivision functor defined in my Ph.D. thesis to the L-theory of simplicially controlled categories thereby defining a mapping of algebraic surgery exact sequences: ASES(X) --> ASES(X'). By subdividing sufficiently one can get arbitrarily fine control thus allowing one to map to a controlled version of the surgery exact sequence. This procedure is hoped to give rise to a 'controlled total surgery obstruction' analogous to Ranicki's algebraic total surgery obstruction.