Theoretical and Computational Studies of Dynamical Heterogeneity and Growing Length Scales in Supercooled Liquids

In this talk I review recent progress made by our group and collaborators in elucidating quantitative aspects connected to growing length and time scales in supercooled liquids. In particular, I focus on extraction of static length scales and the relationship between soft modes and dynamical heterogeneity. Connections to jamming are discussed. If time permits, I will discuss recent work on the mean-field theory of growing dynamical length scales in supercooled liquids with respect to critical fluctuations and the putative upper critical dimension.