Number Theory Seminar

In a series of four papers from 1971 to 1980, Stark proposed conjectures relating algebraic units to the leading coefficients of Artin L-functions. He also suggested an approach to Hilbert's 12th problem and explicit class field theory based on these ideas. This talk will recall the well-established theory for abelian extensions of the field of rational numbers and imaginary quadratic fields before turning towards cyclotomic extensions of complex cubic fields.