Number Theory Seminar
Wednesday, April 6, 2016, 1:30pm, 119 Physics
Romyar Sharifi (University of Arizona)
Modular symbols and arithmetic
Abstract:- I will explain how to attach ideal classes of cyclotomic
fields to geodesics in the complex upper half-plane. A conjecture of
mine states this construction is inverse to another arising from the
Galois action on cohomology of modular curves modulo an Eisenstein
ideal. I hope to use this to motivate a broader philosophy, developed
jointly with Takako Fukaya and Kazuya Kato, that certain arithmetic
objects attached to Galois representations of global fields can be
described using higher-dimensional modular symbols. [video]
Generated at 7:04am Thursday, April 25, 2024 by Mcal. Top
* Reload
* Login