Rigid meromorphic cocycles and their RM values.
This lecture will introduce the basic structures that arise in a p-adic approach
to explicit class field theory based on the values at real quadratic arguments
of rigid meromorphic cocycles.
These values comprise as special cases the
Gross-Stark units arising in Gross’s p-adic analogue of the Stark conjecture
on p-adic Artin L-series at s=0, Stark-Heegner points on (modular) elliptic curves,
and singular moduli for real quadratic fields. They can often be expressed in terms of
(twisted variants of) the triple product periods covered in Lecture 1.