Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted divided powers and applications   In order to give a formal treatment of differential equations in positive
characteristic p, it is necessary to use divided powers. One runs into an
analog problem in the theory of q-difference equations when q is a pth root of
unity. We introduce here a notion of twisted divided powers (relative to q) and
show that one can recover the twisted Weyl algebra and obtain a twisted
p-curvature map that describes the center of the twisted Weyl algebra. We also
build a divided p-Frobenius that will give, by duality, a formal Azumaya
splitting of the twisted Weyl algebra as well as a twisted Simpson
correspondence.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys