3:45PM: The Shape of Minimal Free Resolutions IIDavid EisenbudI'll explain ideas from the proof of the BoijSoederberg conjectures, and the connection with the cohomology of vector bundles that it exploits. This is recent work with Frank Schreyer.

5:00PM: Some results on inhomogeneous discriminantsAngelica CuetoWe study generalized HornKapranov rational parametrizations of inhomogeneous sparse discriminants from both a theoretical and an algorithmic perspective. In particular, we focus on the computation of inhomogeneous discriminants related to integer matrices $B$ as an implicitization problem with base points corresponding to a HK parametrization $\psi_B$. We show that all these parametrizations are birational refining a previous result by Kapranov and prove some results on the corresponding implicit equations. We also propose a combinatorial algorithm to compute the degree of inhomogeneous discriminantal surfaces associated to uniform matrices. If time permits, we will present some examples that show numerous difficulties for computing the (HilbertSamuel) multiplicities of these points. Joint work with Alicia Dickenstein.
