Lorenzo Ramero

Lorenzo Ramero
Born Cuneo, Italy
Institutions Université Lille I
Known for Almost ring theory

Lorenzo Ramero is an Italian mathematician living in France specialized in algebraic and arithmetic geometry. Ofer Gabber and Lorenzo Ramero developed the algebraic geometry based on almost rings extending the earlier ideas of Gerd Faltings on "almost mathematics". This theory extends already classical algebraic geometry formalism of Grothendieck school in order to treat new phenomena in p-adic Hodge theory. This work is systematized in their monograph "Almost ring theory".[1]

More foundational material was developed after the first book, and especially an extended theory of perfectoid rings and perfectoid spaces which generalizes the recent work of Peter Scholze. These aspects were recapitulated in the book "Foundations for Almost Ring Theory".[2]

Ramero is a former student of Alexander Beilinson.

References

  1. ↑ Gabber, Ofer; Ramero, Lorenzo (2003), Almost ring theory, Lecture Notes in Mathematics, 1800, Berlin: Springer-Verlag, doi:10.1007/b10047, ISBN 3-540-40594-1, MR 2004652 (draft also available at http://arxiv.org/abs/math/0201175)
  2. ↑ Gabber, Ofer; Ramero, Lorenzo (2015), Foundations for Almost ring theory (current draft is also available at http://math.univ-lille1.fr/~ramero/research.html)
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