8 papers
Arithmetic Wu Formulas and the Generalized Hecke Theorem
Shachar Carmeli, Mark Shusterman, Sa'ar Zehavi
We construct canonical Steenrod square operations on the Geisser--Schmidt/Milne modified compactly supported étale cohomology of separated finite-type schemes over rings of -in…
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 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…
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…
Characters and transfer maps via categorified traces
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi +1
We develop a theory of generalized characters of local systems in -categories, which extends classical character theory for group representations and, in particular, the in…