49 citations · 63 across the 5 of their papers we have counts for
8 papers
Mapping stacks and categorical notions of properness
Daniel Halpern-Leistner, Anatoly Preygel
One fundamental consequence of a scheme being proper is that the functor classifying maps from to any other suitably nice scheme or algebraic stack is representable by an a…
Integral transforms for coherent sheaves
David Ben-Zvi, David Nadler, Anatoly Preygel
The theory of integral, or Fourier-Mukai, transforms between derived categories of sheaves is a well established tool in noncommutative algebraic geometry. General "representation…
A spectral incarnation of affine character sheaves
David Ben-Zvi, David Nadler, Anatoly Preygel
We present a Langlands dual realization of the putative category of affine character sheaves. Namely, we calculate the categorical center and trace (also known as the Drinfeld cent…
Thom-Sebastiani & Duality for Matrix Factorizations
Anatoly Preygel
The derived category of a hypersurface has an action by "cohomology operations" k[t], deg t=-2, underlying the 2-periodic structure on its category of singularities (as matrix fact…
Algebraic cobordism of varieties with G-bundles
Anatoly Preygel
Lee and Pandharipande studied a "double point" algebraic cobordism theory of varieties equipped with vector bundles, and speculated that some features of that story might extend to…
Dynamics of the -adic Shift and Applications
James Kingsbery, Alex Levin, Anatoly Preygel +1
We present a novel way of realizing the Bernoulli shift on symbols on the -adic integers, where is a prime. By showing that suitably small perturbations of the shift are…
On measure-preserving transformations of compact-open subsets of non-archimedean local fields
James Kingsbery, Alex Levin, Anatoly Preygel +1
We introduce the notion of a \emph{locally scaling} transformation defined on a compact-open subset of a non-archimedean local field. We show that this class encompasses the Haar m…
Measurable Dynamics of Maps on Profinite Groups
James Kingsbery, Alex Levin, Anatoly Preygel +1
We study the measurable dynamics of transformations on profinite groups, in particular of those which factor through sufficiently many of the projection maps; these maps generalize…