Speakers:
The topic will be "How to get a job at a liberal arts college/teaching school". There will be a presentation by David Cox (Amherst College), followed by a question and answer period. Workshop poster: available here Abstracts: (Titles and abstracts will be posted here when available.) Non-negative polynomials versus sums of squares. Bernd Sturmfels (UC Berkeley). We discuss the geometry underlying the difference between non-negative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and quaternary quartics are shown to be Noether-Lefschetz loci of K3 surfaces. The projective duals of these hypersurfaces are defined by rank constraints on Hankel matrices. We compute their degrees using numerical algebraic geometry, thereby verifying results due to Maulik and Pandharipande. The non-SOS extreme rays of the two cones of non-negative forms are parametrized respectively by the Severi variety of plane rational sextics and by the variety of quartic symmetroids. This lecture is based on work of Greg Blekherman, and on our joint paper with Jonathan Hauenstein, John Christian Ottem and Kristian Ranestad. Integral Hodge classes and birational invariants. Claire Voisin (Institut de Mathématiques de Jussieu). About AGNES AGNES is a new series of weekend workshops in algebraic geometry. One of our goals is to introduce graduate students to a broad spectrum of current research in algebraic geometry. AGNES is held twice a year at the participating universities in the Northeast. Scientific Committee: Dan Abramovich (Brown), Joe Harris (Harvard), Aise Johan de Jong (Columbia), Mikhail Kapranov (Yale), János Kollár (Princeton), James McKernan (MIT) Organizing committee: Dan Abramovich (Brown), Arend Bayer (UConn), Alexander Braverman (Brown), Sam Grushevsky (Stony Brook), Paul Hacking (UMass Amherst), Milena Hering (UConn), Mikhail Kapranov (Yale), Radu Laza (Stony Brook), James McKernan (MIT), Sam Payne (Yale), Jason Starr (Stony Brook), Jenia Tevelev (UMass Amherst). |
