Eric Urban
Columbia University, USA
April 27, 2023
Cyclotomic units, Bernoulli numbers and Eisenstein series: Among other things, the cyclotomic units are remarkable in the sense that they induce (via the Kummer map) a compatible system of Galois cohomology classes that are crucial to the proof of the Main Iwasawa conjecture. The goal of this lecture is to present a way (suitable to generalizations) to approach the construction of these classes via the study of congruences between Eisenstein series and cusp forms of various levels and weights.
Columbia University, USA
April 27, 2023
Cyclotomic units, Bernoulli numbers and Eisenstein series: Among other things, the cyclotomic units are remarkable in the sense that they induce (via the Kummer map) a compatible system of Galois cohomology classes that are crucial to the proof of the Main Iwasawa conjecture. The goal of this lecture is to present a way (suitable to generalizations) to approach the construction of these classes via the study of congruences between Eisenstein series and cusp forms of various levels and weights.