Cohomology of GIT quotients, reductive and non-reductive
Eloise Hamilton (University of Oxford)
Abstract: Geometric Invariant Theory (GIT) is a powerful tool not only for constructing quotients in algebraic geometry, but also for studying the geometry of these quotients. The aim of this talk is to explain how to calculate the (rational) cohomology of quotients constructed on the one hand using classical GIT, and on the other using a recent generalisation of GIT, called Non-Reductive GIT. As its name suggests, Non-Reductive GIT enables the construction of quotients by a certain class of non-reductive group actions. After reviewing existing methods for computing the Poincare series of classical GIT quotients when the initial variety is smooth, we will show how similar methods can be used to compute the Poincare series of non-reductive GIT quotients.
algebraic geometry
Audience: researchers in the topic
Series comments: The workshop subject will be EXPLICIT K-STABILITY AND MODULI PROBLEMS. Webpage to follow. Please, do register using the form to get a link to connect. On Monday and Thursday we will have a social (bring your own drink).
| Organizers: | Ivan Cheltsov*, Anne-Sophie Kaloghiros, Jesus Martinez Garcia* |
| *contact for this listing |