Online Talk

A conjecture of Moore asserts a deep connection between the torsion and torsion-free parts of the homotopy groups of any simply connected finite CW complex. This is closely related to a conjecture of Anick, which asserts a connection between the p-torsion in the homotopy groups of such spaces, and the p-torsion in the homotopy groups of spheres and Moore spaces for sufficiently large primes p.

In this talk, I will summarise the work of Hao, Sun, and Theriault which verified Moore's conjecture for moment-angle complexes. I will then discuss work of various authors on Anick's conjecture, culminating in joint work with Vylegzhanin, which verifies the conjecture for a large class of polyhedral products. In particular, this class includes all moment-angle comple