74 citations · 492 across the 47 of their papers we have counts for
7 papers · 1 filter
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…
Arboreal Singularities
David Nadler
We introduce a class of combinatorial singularities of Lagrangian skeleta of symplectic manifolds. The link of each singularity is a finite regular cell complex homotopy equivalent…
Cyclic symmetries of A_n-quiver representations
David Nadler
This short note contains a combinatorial construction of symmetries arising in symplectic geometry (partially wrapped or infinitesimal Fukaya categories), algebraic geometry (deriv…
Secondary Traces
David Ben-Zvi, David Nadler
We study an invariant, the secondary trace, attached to two commuting endomorphisms of a 2-dualizable object in a symmetric monoidal higher category. We establish a secondary trace…
Nonlinear Traces
David Ben-Zvi, David Nadler
We combine the theory of traces in homotopical algebra with sheaf theory in derived algebraic geometry to deduce general fixed point and character formulas. The formalism of dimens…