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Peter Scholze of the University of Bonn receives the award for transforming arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces and for the development of new cohomology theories.
This video was presented during the opening ceremony of the International Congress of Mathematicians in Rio de Janeiro on August 1, 2018, organized by the International Mathematical Union.
Read about Scholze’s work in detail: A Master of Numbers and Shapes Who Is Rewriting Arithmetic (Quanta Magazine)
The 2018 Fields medalists are:
