Now in its second edition, this volume provides a uniquely detailed study of $ P $-adic
differential equations. Assuming only a graduate-level background in number theory, the text …

Differential equations in the complex domain are fundamental objects in mathematics and
physics. In physics, various fields such as mechanics, electromagnetism, and quantum …

In the first of the series of papers devoted to our project``Holomorphic Floer Theory" we
discuss exponential integrals and related wall-crossing structures. We emphasize two points …

Several intrinsic topological ways to encode connections on vector bundles on smooth
complex algebraic curves will be described. In particular the notion of {\em Stokes …

Let M be a holonomic algebraic D-module on the affine line, regular everywhere including at
infinity. Malgrange gave a complete description of the Fourier–Laplace transform ̂ M …

Let M be a holonomic algebraic D-module on the affine line. Its exponential factors are
Puiseux germs describing the growth of holomorphic solutions to M at irregular points. The …

Given a (not necessarily regular) holonomic D D-module LL defined on the product of two
complex manifolds, we prove that the correspondence associated with LL commutes (in …

Irregular perverse sheaves Page 1 Compositio Math. 157 (2021) 573–621 doi:10.1112/S0010437X20007678
Irregular perverse sheaves Tatsuki Kuwagaki Abstract We introduce irregular constructible …

On a complex manifold, the Riemann–Hilbert correspondence embeds the triangulated
category of (not necessarily regular) holonomic 𝒟-modules into the triangulated category of …

We develop a local-to-global formalism for constructing Calabi-Yau structures for global
sections of constructible sheaves or cosheaves of categories. The required data-an …