Lenhard Ng: The augmentation category and counting augmentations of Legendrian knots

I will give a quick (?) introduction to the augmentation category Aug_+ for Legendrian knots in R^3, and discuss some properties especially related to exact Lagrangian fillings. I'll then focus on equivalence classes of augmentations, and talk about how to count them and how they behave under exact Lagrangian cobordism. This is mainly joint work with Dan Rutherford, Vivek Shende, Steven Sivek, and Eric Zaslow.