School of Mathematical Sciences

K-theory and Arithmetic menu

K-theory and Arithmetic

Speaker: 
Cecilia Busuioc (QMUL)
Date/Time: 
Mon, 14/11/2016 - 16:30
Room: 
FB 3.11
Seminar series: 

In this talk, I will give a brief account of the deep connection between the geometry of modular curves and the arithmetic of cyclotomic fields, originally conjectured by R. Sharifi.
The main idea relies on a K-theoretic construction of modular symbols that enjoys further
generalisations to a GL_n -setting. This is the subject of a work in progress with G. Stevens and O. Patashnick.