The 2018 Fields Medal have been awarded to Caucher Birkar, Alessio Figalli, Peter Scholze and Akshay Venkatesh.
The announcement was made by the International Mathematical Union at the 2018 International Congress of Mathematicians in Rio de Janeiro on August 1st.
Many congratulations to this group of young mathematicians on receiving the most prestigious award in mathematics!
Peter Scholze and Akshay Venkatesh recently gave lectures at IHES, and we are both happy and proud that they have been awarded this prize.
Peter Scholze was awarded the Fields Medal “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”.
In 2011 he gave a course on Perfectoid spaces at IHES, as part of the series of lectures “Cours d’Arithmétique et de Géométrie Algébrique”.
He visited the Institute again in 2017 to give the Hadamard Lectures “On the local Langlands conjectures for reductive groups over p-adic fields”, which you can find here
Most recently, in June 2018, he was an invited speaker at the conference “Arithmetic and Algebraic Geometry” in honor of Ofer Gabber for his 60th birthday, when he gave a talk on the “p-adic K-theory of p-adic rings”.
Akshay Venkatesh, was awarded the Fields Medal “for his synthesis of analytic number theory, homogeneous dynamics, topology, and representation theory, which has resolved long-standing problems in areas such as the equidistribution of arithmetic objects.”
Akshay Venkatesh was one of the lecturers of the 2014 Summer School on Number Theory
The International Mathematics Union also announced on August 1st that the Masaki Kashiwara has been awarded the Chern Medal Award 2018. Last June Masaki Kashiwara has also been awarded the 2018 Kyoto Prize by the Inamori Foundation in Japan. Congratulations!
In 2015 he gave a series of lectures at IHES on “Indsheaves, temperate holomorphic functions and irregular Riemann-Hilbert correspondence” together with Pierre Shapira. Last year a conference in his honor was organised at IHES, you can find here all the videos of the conference.