CNRS Research Director at IHES
Ahmed Abbes mainly studies geometrical and cohomological properties of sheaves on varieties on perfect fields of characteristic p>0 or on p-adic fields, designed for applications in arithmetic and algebraic geometry.
His joint work with Takeshi Saito (Tokyo) led to a significant breakthrough in ramification theory. He is the author of a treatise presenting a systematic development of rigid geometry following M. Raynaud’s approach, based on formal schemes up to admissible blow-ups. His recent work focuses on p-adic Hodge theory. He developed jointly with Michel Gros (Rennes) the p-adic Simpson correspondence initiated by G. Faltings.
Médaille de bronze du CNRS (2005)
Distinguished Ordway visitor, the School of Mathematics of the University of Minnesota (2016)