Books written by Peter Scholze.
Peter Scholze is a German mathematician known for his work in algebraic geometry. He has been a professor at the University of Bonn since 2012, and director at the Max Planck Institute for Mathematics since 2018. He was awarded the Fields Medal in 2018, for "transforming arithmetic algebraic geometry over p-adic fields through his introduction of perfectoid spaces, with application to Galois representations, and for the development of new cohomology theories."
Perfectoid Spaces: Lectures from the 2017 Arizona Winter School
Introduced by Peter Scholze in 2011, perfectoid spaces are a bridge between geometry in characteristic 0 and characteristic p, and have been used to solve many important problems, including cases of the weight-monodromy conjecture and the association of Galois representations to torsion classes in cohomology. In recognition of the transformative impact perfectoid spaces have had on the field of arithmetic geometry, Scholze was awarded a Fields Medal in 2018.
Berkeley Lectures on p-adic Geometry