Friday, March 6 at 2 pm

Speaker: Kashio Tomokazu

Title: Stark Units, CM-periods and multiple gamma functions.

Abstract: Stark units over a totally real field are (conjectural) units of its abelian extensions which is not totally imaginary. On the other hand, CM-periods express the transcendental parts of critical values of L-functions associated with algebraic Hecke characters of CM-fields. By using Yoshida's class invariant (and assuming his conjecture on CM-periods), we can see a relation between Stark units and CM-periods. More precisely, in this talk we will formulate a conjecture which implies Yoshida's conjecture on CM-periods and the algebraicity of Stark units.