3 papers
math.AT2025
An introduction to filtered and synthetic spectra
Sven van Nigtevecht
Expository notes about spectral sequences, filtered spectra, and synthetic spectra. We focus on the -formalism as it arises in filtered spectra.
math.AT2025
Cellularity of Chromatic Synthetic Spectra
Shaul Barkan, Sven van Nigtevecht
We show that the -category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the -category of modules over a f…
math.AT2024
The descent spectral sequence for topological modular forms
Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht
We prove the Gap Theorem for the spectrum of topological modular forms . This removes a longstanding circularity in the literature, thereby confirming the computation…