Consider monotone symplectic manifolds containing a smooth anticanonical divisor.
Contingent on conjectures which relate quantum cohomology to the symplectic cohomology …

We describe the obstruction to decomposing in degrees $\leq p $ the de Rham complex of a
smooth variety over a perfect field $ k $ of characteristic $ p $ that lifts over $ W_2 (k) $, and …

We study the mod $ p $ equivariant quantum cohomology of conical symplectic resolutions.
Using symplectic genus zero enumerative geometry, Fukaya and Wilkins defined operations …

This paper is concerned with quantum cohomology and Fukaya categories of a closed
monotone symplectic manifold $ X $, where we use coefficients in a field $\mathbf {k} $ of …

We give a short proof of Kaledin's theorem on the degeneration of the noncommutative
Hodge-to-de Rham spectral sequence. Our approach is based on topological Hochschild …

We prove that the $ p $-adically completed periodic topological cyclic homology of a DG
category over a perfect field $ k $ of characteristic $ p> 2$ is isomorphic to the ($ p $-adically …

We write down a new" logarithmic" quasicoherent category $\operatorname {Qcoh} _
{log}(U, X, D) $ attached to a smooth open algebraic variety $ U $ with toroidal …

On noncommutative crystalline cohomology Page 1 Proceedings of Symposia in Pure
Mathematics On noncommutative crystalline cohomology Boris Tsygan Abstract. We outline …

Abstract The workshop on “Non-Commutative Geometry and Cyclic Homology” was
attended by 16 participants on site. 30 participants could not travel to Oberwolfach because …

Motivated by the Chern-Weil theory, we prove that for a given vector bundle $ E $ on a
smooth scheme $ X $ over a field $ k $ of any characteristic, the Chern classes of $ E $ in …