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 - Spring 2012 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20120110T153000-qile-chen@math.utah.edu DTSTART;TZID=America/Denver:20120110T153000 DTEND;TZID=America/Denver:20120110T163000 DTSTAMP:20260819T205508Z SUMMARY:Stable log maps DESCRIPTION:Speaker: Qile Chen\, Columbia Univeristy\n\nThe theory of stable log maps was developed recently by Abramovich-Chen-Gross-Siebert to generalize the theory of relative stable maps. To illustrate the idea of using log geometry, I will focus on the basic situation when the target is given by a variety with a Cartier divisor. Stable log maps … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120117T153000-noah-giansiracusa@math.utah.edu DTSTART;TZID=America/Denver:20120117T153000 DTEND;TZID=America/Denver:20120117T163000 DTSTAMP:20260819T205508Z SUMMARY:GIT compactifications of \(M_{0,n}\) and flips DESCRIPTION:Speaker: Noah Giansiracusa\, Universität Zürich\n\nDespite intensive investigation over the years and its innocuously classical appearance, there remain some tantalizing open questions regarding the birational geometry of the moduli space of marked rational curves. One such question, dating from a 2000 paper of Hu and Keel, is to determine whether … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120124T153000-yi-zhu@math.utah.edu DTSTART;TZID=America/Denver:20120124T153000 DTEND;TZID=America/Denver:20120124T163000 DTSTAMP:20260819T205508Z SUMMARY:Families of Homogeneous Spaces over Curves DESCRIPTION:Speaker: Yi Zhu\, Stony Brook\n\nA basic question in arithmetic geometry is whether a given variety defined over a non-closed field admits a rational point. When the base field is of geometric nature, i.e., function fields of varieties, one naturally hopes to solve the problem via purely geometric methods. In this talk, I will … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120127T153000-morgan-brown@math.utah.edu DTSTART;TZID=America/Denver:20120127T153000 DTEND;TZID=America/Denver:20120127T163000 DTSTAMP:20260819T205508Z SUMMARY:Singularities of Cox Rings of Fano Varieties DESCRIPTION:Speaker: Morgan Brown\, University of California, Berkeley\n\nThe Cox Ring of an algebraic variety is a generalization of the homogeneous coordinate ring of a projective variety. I will give an introduction to Cox Rings and how they are used in birational geometry, as well as some ideas from the minimal model program, with the aim of showing that the Cox ring … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120214T153000-chenyang-xu@math.utah.edu DTSTART;TZID=America/Denver:20120214T153000 DTEND;TZID=America/Denver:20120214T163000 DTSTAMP:20260819T205508Z SUMMARY:Special test configurations and K-stability DESCRIPTION:Speaker: Chenyang Xu\, University of Utah\n\nThe famous Yau-Tian-Donaldson conjecture says that a polarized variety (X,L) admits a constant scalar curvature metric if and only if it is K-polystable. The last notion is a completely algebraic notion which I will concentrate on in this talk. More precisely, we will study the K-stability question … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120221T153000-ching-jui-lai@math.utah.edu DTSTART;TZID=America/Denver:20120221T153000 DTEND;TZID=America/Denver:20120221T163000 DTSTAMP:20260819T205508Z SUMMARY:Bounding volumes of singular Fano three folds DESCRIPTION:Speaker: Ching-Jui Lai\, University of Utah\n\nMildly singular Fano varieties of Picard number one are important objects to study from the minimal model program point of view. For the set of three dimensional \(\epsilon\)-klt log \(\mathbb Q\)-Fano pairs \((X,\Delta)\) of Picard number one, we show that there is a volume bound … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120228T153000-dung-nguyen@math.utah.edu DTSTART;TZID=America/Denver:20120228T153000 DTEND;TZID=America/Denver:20120228T163000 DTSTAMP:20260819T205508Z SUMMARY:Characteristic numbers of elliptic space curves DESCRIPTION:Speaker: Dung Nguyen\, Colorado State University\n\nCounting curves in projective spaces that pass through various linear subspaces and that are tangent to various hyperplanes (or hypersurfaces) is a classical theme in algebraic geometry. An example is there are 3264 conics tangent to 5 general conics in the projective plane. Several fundamental … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120306T153000-xiaodong-jiang@math.utah.edu DTSTART;TZID=America/Denver:20120306T153000 DTEND;TZID=America/Denver:20120306T163000 DTSTAMP:20260819T205508Z SUMMARY:Effective Iitaka fibrations DESCRIPTION:Speaker: Xiaodong Jiang\, University of Utah\n\nIn this talk, we are going to prove a uniformity result for the Iitaka fibration f from X to Y, provided that the generic fiber has a good minimal model and the variation of f is zero or that the Kodaira dimension of X is equal to the dimension of X minus 1. LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120327T153000-yuchen-zhang@math.utah.edu DTSTART;TZID=America/Denver:20120327T153000 DTEND;TZID=America/Denver:20120327T163000 DTSTAMP:20260819T205508Z SUMMARY:Pluri-canonical map in positive characteristic DESCRIPTION:Speaker: Yuchen Zhang\, University of Utah\n\nFor a nonsingular projective variety X of general type, it's known that |mK_X| induces a birational map for any m sufficiently large. It's an important problem to bound this integer m. In this talk, we will show that, in positive characteristic, |4K_X| is birational providing that X has maximal … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120403T153000-yi-hu@math.utah.edu DTSTART;TZID=America/Denver:20120403T153000 DTEND;TZID=America/Denver:20120403T163000 DTSTAMP:20260819T205508Z SUMMARY:Derived and modular resolutions of the Stable map moduli and applications DESCRIPTION:Speaker: Yi Hu\, University of Arizona\n\nIn this talk, I will present a derived version of the resolutions of the moduli spaces of stable maps. This resolution can be used to rigorously define the so-called reduced GW numbers of CY threefolds (i.e., the GW numbers associated to the main components of the stable map moduli). The derived … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120410T153000-melissa-liu@math.utah.edu DTSTART;TZID=America/Denver:20120410T153000 DTEND;TZID=America/Denver:20120410T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli spaces of real and quaternionic vector bundles over a real algebraic curve DESCRIPTION:Speaker: Melissa Liu\, Columbia University\n\nModuli spaces of semi-stable real and quaternionic vector bundles of fixed topological type over a smooth real algebraic curve can be expressed as Lagrangian quotients and embedded into the symplectic quotient corresponding to the moduli variety of semi-stable algebraic vector bundles of fixed rank … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120417T153000-alberto-chiecchio@math.utah.edu DTSTART;TZID=America/Denver:20120417T153000 DTEND;TZID=America/Denver:20120417T163000 DTSTAMP:20260819T205508Z SUMMARY:TBA DESCRIPTION:Speaker: Alberto Chiecchio\, University of Washington\n\n LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT BEGIN:VEVENT UID:20120424T153000-david-steinberg@math.utah.edu DTSTART;TZID=America/Denver:20120424T153000 DTEND;TZID=America/Denver:20120424T163000 DTSTAMP:20260819T205508Z SUMMARY:Tilted pairs and the Donaldson-Thomas crepant resoultion conjecture DESCRIPTION:Speaker: David Steinberg\, University of British Columbia\n\nDonaldson-Thomas theory provides a virtual count of curves on a smooth Calabi-Yau threefold X. When X is singular, Donaldson-Thomas theory is not defined. However, when X is the coarse moduli space of an orbifold, there are two candidates for producing virtual counts related to X: virtual counts on … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2012-spring/ END:VEVENT END:VCALENDAR