Project Details
Projekt
Algorithmic Minimal Model Program (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 that the theory has not been implemented on computer algebra systems, not even for surfaces. This project aims to make theoretical advancements in the development of a working algorithm as well as to actual implementation of the Minimal Model Program for complex projective klt pairs of log general type. Moreover, we will expand the scope of the famous Cone conjecture beyond the realm of varieties with trivial canonical class.
DFG Programme
CRC/Transregios
Applicant Institution
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Project Heads
Dr. Janko Böhm, since 1/2025; 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
