# Triple Massey products in Galois cohomology

Sun, 30/11/2014 - 12:00

Speaker:

Eli Matzri

Seminar:

Abstract:

The Inverse Galois Problem, asking which groups can be realizable as

Galois groups of fields, is a major problem in Galois theory.

For example the fact that there is no general formula for the roots of

a polynomial of degree five follows from the fact that

the symmetric group S_5, which is not solvable, is realizable as a

Galois group of a field.

Minac and Tan conjectured that if G is the Galois group of a field,

then G has vanishing triple Massey products (to be defined in the lecture).

In the talk I will give some general background on this new property

and its relation to the inverse Galois problem via a work of Dwyer, and try to give a

flavor of my proof of the Minac-Tan conjecture.

- Last modified: 25/11/2014