From the past to the future : the legacy of Lev Lipatov Family memories : husband father and grandfather Elvira Irina and Ekaterina Lipatov and grandchildren Lev Lipatov : my friend and renowned physicist Eugene Levin Lev Lipatov : some personal reminiscences A.H. Mueller BFKL past and future V.S. Fadin Basics of DGLAP Yuri Dokshitzer Calculation of Greens functions in PT symmetric quantum field theory Carl M. Bender Rapidity evolution and small x physics Ian Balitsky Resummation at small x Anna Maria Stasto From parton saturation to proton spin : the impact of BFKL equation and Reggeon evolution Yuri V. Kovchegov The Odderon and BKP states in quantum chromodynamics M.A. Braun and G.P. Vacca Lipatovs QCD high energy effective action : past and future Martin Hentschinski High energy scattering amplitudes in QED QCD and supergravity Agustı́n Sabio Vera N = 4 SYM quantum spectral curve in the BFKL regime Mikhail Alfimov Nikolay Gromov and Vladimir Kazakov DGLAP and BFKL equations in N = 4 SYM : from weak to strong coupling A. Kotikov and A. Onishchenko The Regge limit of N = 4 SUSY Gauge theories Jochen Bartels and Alex Prygarin The discrete BFKL pomeron and structure functions at low x H. Kowalski and D.A. Ross BFKL pomeron and the survival factor V.A. Khoze A.D. Martin and M.G. Ryskin A few topics in BFKL phenomenology at Hadron colliders Agustı́n Sabio Vera Aspects of BFKL physics at HERA H. Jung Aspects of BFKL physics at LEP Tevatron and LHC Victor T. Kim Lipatovs legacy and the future of deep inelastic scattering Paul Newman. This book has been designed to honor Lev Nikolaevich Lipatov as a person and as one of the leading scientists in theoretical high energy physics. The book begins with three articles on Lev as a person written endearingly by family members a very close friend and Physics professor Eugene Levin and another outstanding scientist Alfred Mueller. The book further collects 18 articles by several scientists who closely knew and or collaborated with Lev. With an overarching range over various subfields the book summarizes parts of Levs achievements presents new results which are based upon Levs work and paints an outlook on possible future developments. Levs theoretical work has had an influential impact on phenomenology and experimental high energy physics; befittingly this collection also includes several articles on these experimental aspects