4 citations · 4 across the 6 of their papers we have counts for
6 papers
Sheared Witt Vectors
Bhargav Bhatt, Akhil Mathew, Vadim Vologodsky
V. Drinfeld and E. Lau introduced a ``decompletion'' of the ring of -typical Witt vectors, following earlier work of T. Zink. The goal of this paper is to offer an exposition of…
On the weight zero motivic cohomology
Semen Molokov, Vadim Vologodsky
We prove that singular cohomology of the underlying space of Berkovich's analytification of a scheme locally of finite type over a trivially-valued field of characteristic…
On -adic solutions to KZ equations, ordinary crystals, and -hypergeometric solutions
Alexander Varchenko, Vadim Vologodsky
We consider the KZ connection associated with a family of hyperelliptic curves of genus over the ring of -adic integers . Then the dual connection is the Gauss…
Finding all solutions to the KZ equations in characteristic
Alexander Varchenko, Vadim Vologodsky
The KZ equations are differential equations satisfied by the correlation functions (on the Riemann sphere) of two-dimensional conformal field theories associated with an affine Lie…
Prismatic -Gauges and Fontaine--Laffaille modules
Gleb Terentiuk, Vadim Vologodsky, Yujie Xu
Let be a perfect field of characteristic and its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category…
A DG guide to Voevodsky's motives
A. Beilinson, V. Vologodsky
We give a concise exposition of Voevodsky's theory of motives.