WORKSHOP — Perfection in Iwasawa Theory

Iwasawa theory studies the p-adic variation of arithmetic objects. It was born in a series of papers of K. Iwasawa during the mid 20th century, where he studied the growth of class groups along the cyclotomic tower, and their connection to the p-adic zeta function of Kubota and Leopoldt. This result is known as Iwasawa’s Main Conjecture and it has been generalized to many other settings (elliptic curves, modular forms, etc.). This conference will bring together specialists of this domain to account for the latest advances in Iwasawa Theory. An emphasis will be put to the applications of perfectoid methods to the theory, such as in the construction of p-adic L-functions, or through the use of the Fargues–Fontaine curve and p-adic Hodge theory.