37 citations · 66 across the 22 of their papers we have counts for
26 papers
Six functor formalisms via internal higher algebra
Shachar Carmeli, Guy Kapon, Noam Nissan
We extend a six-functor formalism to a lax symmetric monoidal functor of -categories $\mathbf{Span}^2(C,E)^P_I\to\mathbf{Cat}…
Arithmetic Wu Formulas and the Generalized Hecke Theorem
Shachar Carmeli, Mark Shusterman, Sa'ar Zehavi
We construct canonical stable Steenrod squares on modified compactly supported étale cohomology of separated finite-type schemes over rings of -integers in number fields with $2…
Tate-valued Characteristic Classes II: Applications
Shachar Carmeli, Kiran Luecke
We present a construction that manufactures $\E_\infty$ orientations of Tate fixed-point objects together with useful formulas for these maps, and then give a number of application…
On the K-theory of algebraic tori
Qingyuan Bai, Shachar Carmeli, Branko Juran +1
Given an algebraic torus over a field , its lattice of characters gives rise to a topological torus with a continuous action of the abs…
Prismatic Steenrod operations and arithmetic duality on Brauer groups
Shachar Carmeli, Tony Feng
We construct and analyze the "syntomic Steenrod algebra", which acts on the mod syntomic cohomology (also known as etale-motivic cohomology) of algebraic varieties in character…
Tate-valued Characteristic Classes
Shachar Carmeli, Kiran Luecke
We define a projective variant of classical complex orientation theory. Using this, we construct a map of spectra which lifts the total Chern class, providing an alternative answer…