CRC 878 A08 - Derived categories, quasi-hereditary algebras, and toric geometry

Basic data for this project

Description

Derived categories and their transformations play a central role in geometry, algebra and representation theory. In this project we focus on the existence and construction of tilting bundles on projective algebraic varieties and moduli spaces of quiver representations. Sometimes derived equivalences respect additional information like t-structures, dualities, exceptional sequences, orthogonal decompositions or certain subcategories. In many cases highest weight categories and quasi-hereditary algebras show up.