Torische und tropische Methoden in der Algebraischen Geometrie

根据DFG的建议，本提案收集了前提案FOR1743的三个积极评价的项目作为DFG研究单位。目的是形成一个新的、更紧密的、连贯的方案。这些方案的共同框架是代数几何中的复曲面和热带方法。其目的是发展新的方法，并将其应用于研究森的梦想空间，代数群作用和Fano品种的等价物。所有三个项目都在两个PI的同时监督下，其想法是建立博士生的持续交流和合作，包括在另一个工作组的研究停留。

According to a suggestion of the DFG, this proposal gathers three positively evaluated projects of the former proposal FOR1743 for a DFG-research unit. The intention is to form a new, tighter, coherent program. The common frames of the projects are toric and tropical methods in algebraic geometry. The aim is to develop new methods and to apply them to the study of Mori dream spaces, quotients for algebraic group actions and Fano varieties. All three projects are under the simultaneous supervision of both PIs and the idea is to establish a continuous exchange and cooperation of the PhD students including research stays at the other work group.