The shuffle algebra and Galois cohomology
Seminar
Speaker
Prof. Ido Efrat (Ben-Gurion University)
Date
31/10/2018 - 11:30 - 10:30Add to Calendar
2018-10-31 10:30:00
2018-10-31 11:30:00
The shuffle algebra and Galois cohomology
Consider a prime number p and a free profinite group S on basis X.
We describe the quotients of S by the lower p-central filtration in terms of the shuffle algebra on X. This description is obtained by combining tools from the combinatorics of words with Galois cohomology methods.
In the context of absolute Galois groups, this machinery gives a new general perspective on recent arithmetical results on Massey products and other cohomological operations.
Third floor seminar room
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room
Abstract
Consider a prime number p and a free profinite group S on basis X.
We describe the quotients of S by the lower p-central filtration in terms of the shuffle algebra on X. This description is obtained by combining tools from the combinatorics of words with Galois cohomology methods.
In the context of absolute Galois groups, this machinery gives a new general perspective on recent arithmetical results on Massey products and other cohomological operations.
Last Updated Date : 19/10/2018
