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 …

We prove that the derived categories of abelian categories have unique enhancements—all
of them, the unbounded, bounded, bounded above and bounded below derived categories …

In the derived category of a commutative noetherian ring, we explicitly construct a silting
object associated with each sp-filtration of the Zariski spectrum satisfying the" slice" …

We show that Krause's recollement exists for any locally coherent Grothendieck category
whose derived category is compactly generated. As a source of such categories, we …

We construct an ungraded version of Beilinson–Ginzburg–Soergel's Koszul duality for
Langlands dual flag varieties, inspired by Beilinson's construction of rational motivic …

In a compactly generated triangulated category, we introduce a class of tilting objects
satisfying a certain purity condition. We call these the decent tilting objects and show that the …

Reasonable triangulated categories have filtered enhancements Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 147, Number 7, July 2019, Pages …

Vi introduserer teorien bak derivatorer fra perspektivet til homologisk algebra. Først med
motivasjon fra deriverte kategorier og kanutvidelser, deretter en nøye gjennomgang av …

La presente tesi esibisce una classe di t-strutture, ovvero le intermedie restringibili, nella
categoria derivata di un anello commutativo noetheriano, i cui cuorisono derivato-e …

Modern radio astronomy has brought forth an era of data explosion. With advances in
instrumentation and computational power, new host of algorithms for data analysis become …