Abstract: Since its development by David Mumford in the 60s, Geometric Invariant Theory has been successfully used to compactify many moduli spaces. Recently, more attention has been paid to the choices made in such compactifications. Combinatorial structures tend to underlie these choices, parametrizing different compactifications and birational equivalences between them. We study GIT compactifications of the moduli space of plane curves with marked points and the wall and chamber decomposition, which describes how weights attached to the curve and the points lead to different compactifications.
To add/edit talks, please log in on the department web page, then return to Announce. Alternatively if you know the Announce
username/password, click the link below: