Derived categories, quasi-hereditary algebras, and toric geometry (A08)

• Subject Area: Mathematics
• Term: from 2014 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 129719356

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 878: Groups, Geometry and Actions
• Applicant Institution: Universität Münster
• Project Heads: Privatdozent Dr. Lutz Hille; Privatdozent Dr. Jörg Schürmann