The Brown-Peterson spectrum is not at odd primes

A Senger - arXiv preprint arXiv:1710.09822, 2017 - arxiv.org
We show that the odd-primary Brown-Peterson spectrum $\mathrm {BP} $ does not admit the
structure of an $\mathbb {E} _ {2 (p^ 2+ 2)} $ ring spectrum and that there can be no map …

Additive decompositions for rings of modular forms

L Meier - arXiv preprint arXiv:1710.03461, 2017 - arxiv.org
We study rings of integral modular forms for congruence subgroups as modules over the
ring of integral modular forms for the full modular group. In many cases these modules are …

Commutative ring spectra

B Richter - arXiv preprint arXiv:1710.02328, 2017 - arxiv.org
In this survey paper on commutative ring spectra we present some basic features of
commutative ring spectra and discuss model category structures. As a first interesting class …

Topological Automorphic Forms via Curves

H von Bodecker, S Thyssen - arXiv preprint arXiv:1705.02134, 2017 - arxiv.org
We produce first examples of p-local height three TAF homology theories. The
corresponding one-dimensional formal groups arise as split summands of the formal groups …