Topology of toric spaces

点击翻译按钮获取中文摘要

The aim of this project is to investigate the topology of spaces with an action of a torus T=(S^1)^n, the n-fold Cartesian product of a circle. The focus will be on spaces with rich additional structure arising in various fields, e.g., Hamiltonian T-manifolds (symplectic geometry) or toric varieties (algebraic geometry). This is motivated by the fact that algebraic topology, in particular equivariant cohomology, often plays a crucial role in applications of these spaces, for instance to representation theory and combinatorics.