Talk page
Title:
Hodge theory and moduli
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Abstract:
Hodge theory and moduli are two of the most active areas in algebraic geometry. The use of Hodge theory to help guide the understanding of moduli of algebraic curves and K3 surfaces is classical. More recent is the attempt to do the same for surfaces of general type, where Kollar, Shepherd-Barron and Alexeev have constructed the moduli space. However, due to the occurrence of non-classical phenomenon there seems to not yet be an understanding of the global structure of the surfaces on the boundary of the moduli space in any example. We will review the classical case and give some indications of what happens for one particularly interesting surface.
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