Europe/Lisbon
Online

Pedro Boavida de Brito

Pedro Boavida de Brito, Instituto Superior Técnico and CAMGSD
Galois symmetries of knot spaces

I’ll describe how the absolute Galois group of the rationals acts on a space which is closely related to the space of all knots. The path components of this space form a finitely generated abelian group which is, conjecturally, a universal receptacle for integral finite-type knot invariants. The added Galois symmetry allows us to extract new information about its homotopy and homology beyond characteristic zero. I will then discuss some work in progress concerning higher-dimensional variants.

This is joint work with Geoffroy Horel.

Additional file

Slides of the talk

Projecto FCT UIDB/04459/2020.