Labs in Kyoto University, Research Institute for Mathematical Sciences, Division of Applied Mathematical Sciences

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The lab studies arithmetic geometry and number theory, centered on p-adic Hodge theory.

The lab studies arithmetic geometry and number theory. Its main subjects are p-adic Hodge theory, Galois representations, and K-theory. The lab has worked on one of the central questions of the Langlands program: which Galois representations arise from algebraic geometry. Currently, it is focusing on computing the étale cohomology of arithmetic schemes using K-theory and higher class field theory.

#Arithmetic geometry #p-adic Hodge theory #Galois representations