Martina Lanini- Attractive Forests and Torus Actions

Explore the concept of attractive forests in quiver representations and their connection to torus actions on quiver Grassmannians in this comprehensive lecture. Delve into ongoing research that defines and investigates torus actions on quiver Grassmannians of attractive forests, with a focus on nilpotent representations of the equioriented cycle. Discover how this torus action equips the quiver Grassmannian with an equivariantly formal space structure and learn about the combinatorial description of the corresponding moment graph. Examine the potential for computing equivariant cohomology using these methods and understand how this construction generalizes the well-studied torus actions on type A flag varieties.