2015
Nov
09

# Number theory: Ishai Dan-Cohen (Essen), "Towards Chabauty-Kim loci for the polylogarithmic quotient over an arbitrary number field"

4:00pm to 5:45pm

## Location:

Ross Building, room 70, Jerusalem, Israel

Title: Towards Chabauty-Kim loci for the polylogarithmic quotient over an arbitrary number field

Abstract: Let K be a number field and let S be an open

subscheme of Spec O_K.

Minhyong Kim has developed a method for

bounding the set of S-valued points on a

hyperbolic curve X over S; his method opens

a new avenue in the quest for an "effective

Mordell conjecture".

But although Kim's approach has lead to the

construction of explicit bounds in special

cases, the problem of realizing the potential

Abstract: Let K be a number field and let S be an open

subscheme of Spec O_K.

Minhyong Kim has developed a method for

bounding the set of S-valued points on a

hyperbolic curve X over S; his method opens

a new avenue in the quest for an "effective

Mordell conjecture".

But although Kim's approach has lead to the

construction of explicit bounds in special

cases, the problem of realizing the potential