SISSA/IGAP Algebraic Geometry seminars, 3rd serie

[Alessandro Nobile]

Dear all,
    this is to announce the next SISSA/IGAP algebraic geometry seminar.

SPEAKER: Eloise Hamilton - IMJP-RG

TITLE:      Group actions and the cohomology of moduli spaces

WHEN:     Thursday, June 24 at 4.30pm (Rome)

WHERE:   Link Zoom:   
https://sissa-it.zoom.us/j/83610861657?pwd=REZKQWdzRDN4ZzFlN3Rpa1YwaHpOZz09
               ID riunione:   836 1086 1657
               Passcode:      386296 

ABSTRACT: Moduli spaces play a crucial role in solving classification
problems: their geometry encapsulates all of the features of the objects
which they classify, and thus questions about the objects can be
answered by studying the geometry of the moduli space instead. The aim
of this talk is to present some techniques for studying the cohomology
of moduli spaces. These techniques require the presence of a group
action: either a group action on the moduli space itself, or a group
action on a parameter space whose quotient is the given moduli space. I
will focus mostly on the latter case, which relates to Geometric
Invariant Theory (GIT), and explain how to compute the topology of GIT
quotients, both in the classical (reductive) setting and in the recently
developed non-reductive setting. 

Best regards,
Andrea, Alessandro and Michele