5 papers
The topological period-index conjecture
Benjamin Antieau, Ben Williams
We prove the topological analogue of the period-index conjecture in each dimension away from a small set of primes.
Unstable Motivic Homotopy Theory
Kirsten Wickelgren, Ben Williams
We give an introduction to unstable motivic homotopy theory of Morel and Voevodsky, and survey some results.
On the mod- homology of the classifying space for commutativity
Cihan Okay, Ben Williams
We study the mod- homotopy type of classifying spaces for commutativity, , at a prime . We show that the mod- homology of dep…
Bounding the minimal number of generators of an Azumaya algebra
Ben Williams
A paper of U. First & Z. Reichstein proves that if is a commutative ring of dimension , then any Azumaya algebra over can be generated as an algebra by element…
Motivic spheres and the image of the Suslin--Hurewicz map
Aravind Asok, Jean Fasel, Ben Williams
We show that an old conjecture of A.A. Suslin characterizing the image of a Hurewicz map from Quillen K-theory in degree to Milnor K-theory in degree admits an interpretati…