September 26, Manjul Bhargava (Princeton) Introduction: Prehomogeneous Spaces
October 3, Wei Ho (Columbia) Coregular Spaces and Genus One Curves.
October 10, Jack Thorne (Harvard) Coregular Spaces and Vinberg Theory. Review Notes
October 17, Benedict Gross (Harvard) Some Arithmetically Interesting Orbits
October 24, Alison Miller (Princeton) Arithmetic aspect of Knot Invariants.
October 31 - Fall Break
November 7 - Jack Thorne (Harvard) Arithmetic of Simple Singularities
November 14 - Arul Shankar (Princeton) Counting Techniques for the Average Rank of Elliptic Curves (Bjorn Poonen has a wonderful exposition of the contents of this talk here )
November 21 - Stephen Sam (MIT) Free Resolutions and Vinberg Theory (Sam's notes can be found here)
November 28 - Takashi Taniguchi (Princeton) Sato-Shintani Zeta Functions
December 5 - Kevin Wilson (Princeton) del Pezzo surfaces
December 12 - Abhinav Kumar (MIT) K3 surfaces