Frédéric Déglise
Mathematics
Freiburg Institute for Advanced Studies
Germany
Biography
I defended my Ph.D. in 2002 in Paris 7 under the supervision of F.Morel and my Habilitation thesis in 2010 in Paris 13. Since 2016, I at the Director of the CNRS, working in the IMB at Dijon. My field of research is motivational homotopy theory, from motives and algebraic cycles to abstract homotopy and its methods. My work has been focused on the development and study of cohomology theories, mainly motivic cohomology, but more national cohomologies coming from Morel-Voevodsky's A1-homotopy category.
Research Interest
My field of research is motivational homotopy theory, from motives and algebraic cycles to abstract homotopy and its methods. My work has been focused on the development and study of cohomology theories, mainly motivic cohomology, but more national cohomologies coming from Morel-Voevodsky's A1-homotopy category. The orientation theory known in algebraic topology can be transported to A1-homotopy and gives rise to the study of characteristic classes, duality, Gysin morphisms and purity.
Publications
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D.-C. Cisinski and F. Déglise. Etale motives. Compos. Math., 152 (3): 556-666, 2016.
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D.-C. Cisinski and F. Déglise. Integral mixed motives in equal characteristics. Doc. Math., (Extra volume: Alexander S. Merkurjev's sixtieth birthday): 145-194, 2015.
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M. Bondarko, F. Déglise. Dimensional homotopy t-structures in motivic homotopy theory. Adv. Math., 311: 91-189, 2017.