18 citations · 30 across the 10 of their papers we have counts for
12 papers
Artin--Mazur formal groups and Milne duality via unipotent spectra
Shubhodip Mondal, Tasos Moulinos, Lucy Yang
We introduce and develop the notion of "unipotent spectra." This is defined to be the stabilization of Toën's category of affine stacks, and is related to recent work of Mondal--Re…
The Synthetic Hilbert Additive Group Scheme
Alice Hedenlund, Tasos Moulinos
We construct a lift of the degree filtration on the integer valued polynomials to (even MU-based) synthetic spectra. Namely, we construct a bialgebra in modules over the evenly fil…
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…
Filtered formal groups, Cartier duality, and derived algebraic geometry
Tasos Moulinos
We develop a notion of formal groups in the filtered setting and describe a duality relating these to a specified class of filtered Hopf algebras. We then study a deformation to th…
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…
A Universal HKR Theorem
Tasos Moulinos, Marco Robalo, Bertrand Toën
In this work we study the failure of the HKR theorem over rings of positive and mixed characteristic. For this we construct a filtered circle interpolating between the usual topolo…
On the topological K-theory of twisted equivariant perfect complexes
Michael K. Brown, Tasos Moulinos
We construct a comparison map from the topological K-theory of the dg-category of twisted perfect complexes on certain global quotient stacks to twisted equivariant K-theory, gener…
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…
The Real Dynamics of Bieberbach's Example
Sandra Hayes, Axel Hundemer, Evan Milliken +1
Bieberbach constructed in 1933 domains in which were biholomorphic to but not dense. The existence of such domains was unexpected. The special domains Bie…