Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Silting objects   We give an overview of recent developments in silting theory. After an
introduction on torsion pairs in triangulated categories, we discuss and
compare different notions of silting and explain the interplay with
t-structures and co-t-structures. We then focus on silting and cosilting
objects in a triangulated category with coproducts and study the case of the
unbounded derived category of a ring. We close the survey with some
classification results over commutative noetherian rings and silting-discrete
algebras.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex