Massey products in the Galois cohomology of number fields

Zoom seminar Quadratic forms, Linear algebraic groups and Beyond, 8:30am

https://uottawa-ca.zoom.us/j/99397061432?pwd=LzNBS1UrSVNJQ1ZiU28yWHAyNlV...

(Joint work with Yonatan Harpaz.)  Let k be a field and p be a prime. According to a conjecture of Mináč and Tân, Massey products of n>2 classes in H^1(k,Z/pZ) should vanish whenever they are defined.  We establish this conjecture when k is a number field, for any n.  This constraint on the absolute Galois group of k was previously known to hold when n=3 and when n=4, p=2.