18 citations · 30 across the 10 of their papers we have counts for
6 papers · 1 filter
Twisted Spectra Revisited
Alice Hedenlund, Tasos Moulinos
We recapture Douglas' framework for twisted parametrized stable homotopy theory in the language of - categories. A twisted spectrum is essentially a section of a bundle of…
Adjunction of roots, algebraic -theory and chromatic redshift
Christian Ausoni, Haldun Özgür Bayındır, Tasos Moulinos
Given an -ring and a class satisfying a suitable hypothesis, we define a map of -rings realizing the adjunction of an th ro…
Cogroupoid structures on the circle and the Hodge degeneration
Tasos Moulinos
We exhibit the Hodge degeneration from nonabelian Hodge theory as a -fold delooping of the filtered loop space -groupoid in formal moduli problems. This is an iterated grou…
Algebraic -theory of
Haldun Özgür Bayındır, Tasos Moulinos
In this work we study the -ring as a graded spectrum. Following an identification at the level of -algebras with , t…
The geometry of filtrations
Tasos Moulinos
We display a symmetric monoidal equivalence between the stable -category of filtered spectra, and quasi-coherent sheaves on , the quotient in t…
Derived Azumaya algebras and twisted -theory
Tasos Moulinos
We construct a relative version of topological -theory of dg categories over an arbitrary quasi-compact, quasi-separated -scheme . This has as input a $\text{Perf…