This work is dedicated to the construction of a new motivic homotopy theory for (log)
schemes, generalizing Morel-Voevodsky's (un) stable $\mathbb {A}^ 1$-homotopy category …

This paper incorporates the theory of Hochschild homology into our program on log motives.
We discuss a geometric definition of logarithmic Hochschild homology of animated pre-log …

We prove that (logarithmic) prismatic and (logarithmic) syntomic cohomology are
representable in the category of logarithmic motives. As an application, we obtain Gysin …

REAL TOPOLOGICAL HOCHSCHILD HOMOLOGY OF SCHEMES Page 1 J. Inst. Math. Jussieu
(2024), 23(3), 1461–1518 doi:10.1017/S1474748023000178 1461 REAL TOPOLOGICAL …

We define higher pro-Albanese functors for every effective log motive over a field k of
characteristic zero, and we compute them for every smooth log smooth scheme X=(X _,∂ X) …

We develop a theory of motives with compact support for logarithmic schemes over a field.
Starting from the notion of finite logarithmic correspondences with compact support, we …