3:45PM: The Fpure threshold of a CalabiYau hypersurfaceAnurag SinghThe Fpure threshold is a numerical invariant of prime characteristic singularities. It constitutes an analogue of a numerical invariant for complex singularitiesthe log canonical thresholdthat measures local integrability. We will discuss, in detail, the calculation of Fpure thresholds of elliptic curves, and also indicate how this calculation extends to CalabiYau hypersurfaces. This is work in progress with Bhargav Bhatt.

5:00PM: Maximum Likelihood for Matrices with Rank ConstraintsJose RodriguezMaximum likelihood estimation is a fundamental computational task in statistics and it also involves some beautiful mathematics. We discuss this task for determinantal varieties (matrices with rank constraints) and show how numerical algebraic geometry can be used to maximize the likelihood function. Our computational results with the software Bertini led to surprising duality conjectures. This is joint work with Bernd Sturmfels and Jon Hauenstein.
