Recent results in the BFKL theory

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The Balitsky-Fadin-Kuraev-Lipatov (BFKL) approach for the cross sections at high energy $\sqrt s$ in perturbative QCD is briefly reviewed. The role of gluon Reggeization in the derivation of the BFKL equation and its compatibility with $s$-channel unitarity (``bootstrap'') are discussed.
Talk given at the IX "Blois Workshop", Pruhonice near Prague, June 9-15, 2001; LaTeX, 8 pages, 4 eps figures

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