Project Details
Projekt
Conjectures and new examples in birational geometry (A23)
Subject Area
Mathematics
Term
since 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555
There has been significant progress recently in the birational geometry of algebraic varieties over the complex numbers. Apart from proving the outstanding conjectures in the Minimal Model Program, one of the main practical problems in the field is the lack of examples to which the theory can be applied and which can, in turn, be used as a testing ground for various unresolved conjectures in higher dimensional geometry. This project aims to remedy this situation by constructing new examples of projective algebraic varieties in dimensions at least 3 and using them to test several important conjectures in birational geometry. Furthermore, we will investigate the birational geometry of symplectic singularities from the point of view of representation theory as well as via polyhedral decompositions of cones which occur naturally in Mori theory.
DFG Programme
CRC/Transregios
Applicant Institution
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Project Heads
Professor Dr. Vladimir Lazic, since 1/2021; Professor Dr. Frank-Olaf Schreyer, from 1/2021 until 12/2024; Professor Dr. Ulrich Thiel, until 12/2024
