16–19 Sept 2025
Palazzo del Castelletto
Europe/Rome timezone

GKM Theory and Applications to the Study of Quiver Grassmannians

18 Sept 2025, 16:00
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Dr Sabino Di Trani (Sapienza Università di Roma))

Description

GKM theory provides a powerful tool to describe the (equivariant) cohomology of certain T-varieties, where T is an algebraic torus. In particular, the cohomology of such varieties can be determined by studying the combinatorics of a graph—the moment graph—constructed from the geometry of the 0- and 1-dimensional T-orbits. In the first part of the talk, we will recall the main results of GKM theory through a number of examples. Afterwards, we will show how the combinatorics of the moment graph can be applied to investigate geometric properties of certain quiver Grassmannians for equioriented quivers of type A.

Primary author

Dr Sabino Di Trani (Sapienza Università di Roma))

Presentation materials

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