5 papers
Permutation, stabilization and decomposition
Paul Balmer, Martin Gallauer
Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove…
Periods in equivariant and motivic contexts
Martin Gallauer
We define the period as a multiplicative characteristic of stably symmetric monoidal -categories, develop its basic properties, and study many examples, with a focus on `or…
Patch-density in tensor-triangular geometry
Paul Balmer, Martin Gallauer
The spectrum of a tensor-triangulated category carries a compact Hausdorff topology, called the constructible topology, also known as the patch topology. We prove that patch-dense…
Exponentiation of coefficient systems and exponential motives
Martin Gallauer, Simon Pepin Lehalleur
We construct new six-functor formalisms capturing cohomological invariants of varieties with potentials. Starting from any six-functor formalism , encoded as a coefficient syste…
Statistical mechanics of kinks on a gliding screw dislocation
M. Boleininger, M. Gallauer, S. L. Dudarev +3
The ability of a body-centered cubic metal to deform plastically is limited by the thermally activated glide motion of screw dislocations, which are line defects with a mobility ex…