%0 Journal Article %T Perspectives on the construction and compactification of moduli spaces %A Radu Laza %J Mathematics %D 2014 %I arXiv %X In these notes, we introduce various approaches (GIT, Hodge theory, and KSBA) to constructing and compactifying moduli spaces. We then discuss the pros and cons for each approach, as well as some connections between them. %U http://arxiv.org/abs/1403.2105v1