4 papers
Moduli stacks of Higgs bundles on stable curves
Oren Ben-Bassat, Sourav Das, Tony Pantev
In this article, we construct a flat degeneration of the derived moduli stack of Higgs bundles on smooth curves using the stack of expanded degenerations of Jun Li. We show that th…
Blow-ups and normal bundles in connective and nonconnective derived geometries
Oren Ben-Bassat, Jeroen Hekking
This work presents a generalization of derived blow-ups and of the derived deformation to the normal bundle from derived algebraic geometry to any geometric context. The latter is…
Arithmetic field theory via pro-p duality groups
Nadav Gropper, Oren Ben-Bassat
Using the theory of pro-p groups and relative Poincaré duality, we define a type of cobordism category well suited to arithmetic topology. We completely classify topological quant…
A Perspective on the Foundations of Derived Analytic Geometry
Oren Ben-Bassat, Jack Kelly, Kobi Kremnizer
We show how one can do algebraic geometry with respect to the category of simplicial objects in an exact category. As a biproduct, we get a theory of derived analytic geometry.