BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Algebraic Geometry Seminar//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Algebraic Geometry Seminar - Fall 2012 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20120821T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20120821T153000 DTEND;TZID=America/Denver:20120821T163000 DTSTAMP:20260819T205508Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20120828T153000-yi-zhu@math.utah.edu DTSTART;TZID=America/Denver:20120828T153000 DTEND;TZID=America/Denver:20120828T163000 DTSTAMP:20260819T205508Z SUMMARY:Finding very free rational curves DESCRIPTION:Speaker: Yi Zhu\, University of Utah\n\nA rational curve on a smooth algebraic variety is very free if the pullback of the tangent bundle is positive. This notion is the key to the theory of rational curves and has various applications both in geometry and in arithmetics. In characteristic zero, the general theory of Kollar-Miyaoka-Mori … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20120904T153000-eric-katz@math.utah.edu DTSTART;TZID=America/Denver:20120904T153000 DTEND;TZID=America/Denver:20120904T163000 DTSTAMP:20260819T205508Z SUMMARY:Lifting Tropical Curves and Linear Systems on Graphs DESCRIPTION:Speaker: Eric Katz\, University of Waterloo\n\nTropicalization is a procedure for associating a polyhedral complex to a subvariety of an algebraic torus. We explain the method of tropicalization and study the question of which graphs arise from tropicalizing algebraic curves. By applying Baker's technique of specialization of linear systems from … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20120911T153000-karl-schwede@math.utah.edu DTSTART;TZID=America/Denver:20120911T153000 DTEND;TZID=America/Denver:20120911T163000 DTSTAMP:20260819T205508Z SUMMARY:A generic restriction theorem for test ideals DESCRIPTION:Speaker: Karl Schwede\, Penn State\n\nSuppose that f : X \to S is a flat family over a smooth variety of characteristic p > 0. In the same setting in characteristic zero, the multiplier ideal of X restricts to the multipier ideal of the fibers for most fibers X_s. There is no hope that the same statement can hold in characteristic p > 0 … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20120918T150000-xiaowei-wang@math.utah.edu DTSTART;TZID=America/Denver:20120918T150000 DTEND;TZID=America/Denver:20120918T160000 DTSTAMP:20260819T205508Z SUMMARY:Hilbert-Mumford criterion for nodal curve. DESCRIPTION:Speaker: Xiaowei Wang\, Rutgers, the State University of New Jersey\n\nIn this joint work with Jun Li, we prove by Hilbert-Mumford criterion that a slope stable polarized weighted pointed nodal curve is Chow asymptotic stable. LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20120925T153000-luigi-lombardi@math.utah.edu DTSTART;TZID=America/Denver:20120925T153000 DTEND;TZID=America/Denver:20120925T163000 DTSTAMP:20260819T205508Z SUMMARY:Derived equivalences of irregular varieties and Hochschild homology DESCRIPTION:Speaker: Luigi Lombardi\, University of Illinois at Chicago\n\nIn this talk I will describe the behavior under derived equivalence of a twisted version of Hochschild homology. This result is then applied to study the derived invariance of cohomological support loci, fibrations onto curves, the Albanese dimension, and certain Hodge numbers of special classes of … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121002T153000-takashi-kimura@math.utah.edu DTSTART;TZID=America/Denver:20121002T153000 DTEND;TZID=America/Denver:20121002T163000 DTSTAMP:20260819T205508Z SUMMARY:Power operations in inertial K-theory and some applications DESCRIPTION:Speaker: Takashi Kimura\, Boston University\n\nIf X is a smooth variety with a proper action of an algebraic group G, its equivariant K-theory ring $K_G(X)$ possesses power (or Adams) operations (and associated lambda ring operations) which are compatible with the Chern character and Chern classes. But $K_G(X)$ is a subring of the equivariant … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121009T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20121009T153000 DTEND;TZID=America/Denver:20121009T163000 DTSTAMP:20260819T205508Z SUMMARY:Fall Break DESCRIPTION:Speaker: speaker\n\n LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121016T153000-olivier-benoist@math.utah.edu DTSTART;TZID=America/Denver:20121016T153000 DTEND;TZID=America/Denver:20121016T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli spaces of smooth complete intersections DESCRIPTION:Speaker: Olivier Benoist\, École Normale Supérieure\n\nIn this talk, I will consider the moduli problem for smooth complete intersections in projective space. I will show the existence of a separated coarse moduli space. This coarse moduli space will be shown to be quasi-projective in some particular cases (for instance for codimension 2 Fano complete … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121023T153000-zhiyu-tian@math.utah.edu DTSTART;TZID=America/Denver:20121023T153000 DTEND;TZID=America/Denver:20121023T163000 DTSTAMP:20260819T205508Z SUMMARY:Extremal rays, Gromov-Witten invariants, and rationally connected varieties DESCRIPTION:Speaker: Zhiyu Tian\, California Institute of Technology\n\nThis work is motivated by Kollár's conjecture on symplectic deformation invariance of rational connectedness and "symplectic birational geometry". I will discuss some simple observations which seem to suggest that extremal rays of the Mori cone deform together with the deformation of the variety as … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121030T153000-zhixian-zhu@math.utah.edu DTSTART;TZID=America/Denver:20121030T153000 DTEND;TZID=America/Denver:20121030T163000 DTSTAMP:20260819T205508Z SUMMARY:Divisorial valuations via arcs in positive characteristic DESCRIPTION:Speaker: Zhixian Zhu\, University of Michigan\n\nWhen X is a smooth complex variety, it was shown by Ein, Lazarsfeld and Mustata that there is a general correspondence between cylinders in the space of arcs of X and divisorial valuations of the function field of X. Via this correspondence, the codimension of the cylinders corresponds to the log … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121106T153000-colleen-robles@math.utah.edu DTSTART;TZID=America/Denver:20121106T153000 DTEND;TZID=America/Denver:20121106T163000 DTSTAMP:20260819T205508Z SUMMARY:Homological flexibility of Schubert classes in cominuscule rational homogeneous varieties DESCRIPTION:Speaker: Colleen Robles\, Texas A&M University\n\nThe Schubert subvarieties of a rational homogeneous variety X are distinguished by the fact that their homology classes form an additive basis of the integer homology of X. It is then natural to ask: does a Schubert classes admit any other algebraic representatives (aside from the Schubert variety)? … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121113T153000-jason-starr@math.utah.edu DTSTART;TZID=America/Denver:20121113T153000 DTEND;TZID=America/Denver:20121113T163000 DTSTAMP:20260819T205508Z SUMMARY:Rational points of varieties over global function fields DESCRIPTION:Speaker: Jason Starr\, Stony Brook University\n\nThis is joint work with Chenyang Xu. Combining work of Esnault with work of de Jong - He - Starr on "rational simple connectedness", we prove the existence of rational points of many varieties defined over global function fields, i.e., function fields of curves over finite fields. In this way we get … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121120T153000-bhargav-bhatt@math.utah.edu DTSTART;TZID=America/Denver:20121120T153000 DTEND;TZID=America/Denver:20121120T163000 DTSTAMP:20260819T205508Z SUMMARY:p-adic derived de Rham cohomology DESCRIPTION:Speaker: Bhargav Bhatt\, University of Michigan\n\nA basic theorem in Hodge theory is the isomorphism between de Rham and Betti cohomology for complex manifolds; this follows directly from the Poincare lemma. The p-adic analogue of this comparison lies deeper, and was the subject of a series of extremely influential conjectures made by Fontaine in … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121127T153000-mark-shoemaker@math.utah.edu DTSTART;TZID=America/Denver:20121127T153000 DTEND;TZID=America/Denver:20121127T163000 DTSTAMP:20260819T205508Z SUMMARY:A Mirror Theorem for the Mirror Quintic (Joint w/ Y.P. Lee) DESCRIPTION:Speaker: Mark Shoemaker\, University of Michigan\n\nThe celebrated Mirror Theorem of Givental and Lian-Liu-Yau states that the A model (quantum cohomology, rational curve counting) of the Fermat quintic threefold is equivalent to the B model (complex deformations, period integrals) of its mirror dual, the mirror quintic orbifold. In order for mirror … LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT BEGIN:VEVENT UID:20121204T153000-j%C3%A1nos-koll%C3%A1r@math.utah.edu DTSTART;TZID=America/Denver:20121204T153000 DTEND;TZID=America/Denver:20121204T163000 DTSTAMP:20260819T205508Z SUMMARY:The dual complex of singularities DESCRIPTION:Speaker: János Kollár\, Princeton University\n\n LOCATION:JTB 120 URL:http://math.utah.edu/agseminar/2012-fall/ END:VEVENT END:VCALENDAR