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 2013 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20130903T153000-nicola-tarasca@math.utah.edu DTSTART;TZID=America/Denver:20130903T153000 DTEND;TZID=America/Denver:20130903T163000 DTSTAMP:20260819T205508Z SUMMARY:Brill-Noether loci in moduli spaces of curves DESCRIPTION:Speaker: Nicola Tarasca\, University of Utah\n\nA classical way of producing subvarieties of the moduli space of curves is by means of Brill-Noether theory: the locus in the moduli space of curves of genus g consisting of curves with a pencil of degree k has codimension g-2k+2. While Brill-Noether divisors have been extensively studied, little is … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20130910T153000-mark-shoemaker@math.utah.edu DTSTART;TZID=America/Denver:20130910T153000 DTEND;TZID=America/Denver:20130910T163000 DTSTAMP:20260819T205508Z SUMMARY:A proof of the LG/CY correspondence via the Crepant Resolution Conjecture DESCRIPTION:Speaker: Mark Shoemaker\, University of Utah\n\nGiven a homogeneous degree five polynomial W in the variables X_1, . . . , X_5, we may view W as defining a quintic hypersurface in P^4, or alternatively, as defining a singularity in [C^5/Z_5], where the group action is diagonal. In the first case, one may consider the Gromov-Witten invariants of … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20130917T153000-pinaki-mondal@math.utah.edu DTSTART;TZID=America/Denver:20130917T153000 DTEND;TZID=America/Denver:20130917T163000 DTSTAMP:20260819T205508Z SUMMARY:A new (and effective) criterion for contraction of rational curves on rational surfaces DESCRIPTION:Speaker: Pinaki Mondal\, University of Toronto\n\nLet X be a non-singular rational algebraic surface (over C) equipped with a birational morphism to CP^2. Let L be a line on CP^2, and E' be the union of the strict transform of L with all but one irreducible component of the exceptional divisor. Assume that the matrix of intersection numbers of … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20130924T153000-omprokash-das@math.utah.edu DTSTART;TZID=America/Denver:20130924T153000 DTEND;TZID=America/Denver:20130924T163000 DTSTAMP:20260819T205508Z SUMMARY:On Strongly F-Regular Inversion of Adjunction DESCRIPTION:Speaker: Omprokash Das\, University of Utah\n\nFor a pair (X, S+B), in characteristic 0 we know that X is plt near S if and only if (S^n, B_S^n) is kit, where (K_X+S+B)|_S^n=K_S^n+B_S^n is defined by adjunction. In this talk we will show a characteristic p>0 analog of this statement. LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131001T153000-nathan-priddis@math.utah.edu DTSTART;TZID=America/Denver:20131001T153000 DTEND;TZID=America/Denver:20131001T163000 DTSTAMP:20260819T205508Z SUMMARY:A Landau-Ginzburg/Calabi-Yau Correspondence for the mirror quintic DESCRIPTION:Speaker: Nathan Priddis\, University of Michigan\n\nThe LG/CY correspondence was conjectured by physicists nearly twenty years ago, but has not received much attention until recently when Chiodo-Ruan proved the LG/CY correspondence for the quintic threefold. I will describe recent work joint with Mark Shoemaker in which we prove a version of the … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131008T153000-christian-maritnez@math.utah.edu DTSTART;TZID=America/Denver:20131008T153000 DTEND;TZID=America/Denver:20131008T163000 DTSTAMP:20260819T205508Z SUMMARY:Birational geometry of the Gieseker moduli of one-dimensional stable plane sheaves DESCRIPTION:Speaker: Christian Maritnez\, University of Utah\n\nThe moduli space of semistable one-dimensional plane sheaves N(r,\chi) is known to be an irreducible normal projective variety of dimension r^2+1 which is also locally factorial and a Mori-Dream space of Picard number p=2. It can be shown that N(r,\chi) is a moduli space of Bridgeland semistable … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131015T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20131015T153000 DTEND;TZID=America/Denver:20131015T163000 DTSTAMP:20260819T205508Z SUMMARY:FALL BREAK DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131022T153000-abel-castorena@math.utah.edu DTSTART;TZID=America/Denver:20131022T153000 DTEND;TZID=America/Denver:20131022T163000 DTSTAMP:20260819T205508Z SUMMARY:Limit Linear Series and BN Loci of Vector Bundles on Curves DESCRIPTION:Speaker: Abel Castorena\, Centro de Ciencias Matemáticas de la UNAM\n\nUsing limit linear series for higher rank, I will show that given a generic curve C and under some conditions on the degree and genus, there exist a component of the expected dimension in the BN locus of stable vector bundles of rank r, degree d and k sections such that for the generic vector bundle … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131029T153000-hong-r.-zong@math.utah.edu DTSTART;TZID=America/Denver:20131029T153000 DTEND;TZID=America/Denver:20131029T163000 DTSTAMP:20260819T205508Z SUMMARY:Weak Approximation For Isotrivial Family DESCRIPTION:Speaker: Hong R. Zong\, Princeton University\n\nWe prove weak approximation for a family of rationally connected varieties over a complex curve. Solution to a question by Prof Jason Starr which obstructs general weak approximation is involved. LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131105T153000-steffen-marcus@math.utah.edu DTSTART;TZID=America/Denver:20131105T153000 DTEND;TZID=America/Denver:20131105T163000 DTSTAMP:20260819T205508Z SUMMARY:A geometric perspective on the piecewise polynomiality of double Hurwitz numbers DESCRIPTION:Speaker: Steffen Marcus\, University of Utah\n\nHurwitz numbers count degree d branched covers of the Riemann sphere by a genus g Riemann surface with prescribed ramification over one branch point and simple ramification over the others. They are intimately related to the geometry of the moduli space of curves through the famous ELSV formula. … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131112T153000-yoav-len@math.utah.edu DTSTART;TZID=America/Denver:20131112T153000 DTEND;TZID=America/Denver:20131112T163000 DTSTAMP:20260819T205508Z SUMMARY:An algebraic interpretation of the combinatorial rank of divisors DESCRIPTION:Speaker: Yoav Len\, Yale University\n\nIn tropical geometry, one often studies nodal curves by considering combinatorial invariants of their dual graph. For instance, a line bundle on the curve gives rise to a divisor on the dual graph, which, in analogy with divisors on curves, has an invariant called the rank. \\ A conjecture by Lucia … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131119T153000-st%C3%A9phane-lamy@math.utah.edu DTSTART;TZID=America/Denver:20131119T153000 DTEND;TZID=America/Denver:20131119T163000 DTSTAMP:20260819T205508Z SUMMARY:Tame automorphisms of affine 3-folds acting on 2-dimensional complexes DESCRIPTION:Speaker: Stéphane Lamy\, Institut de Mathématiques de Toulouse\n\nWhen considering transformation groups of rational surfaces, the most obvious cases being the group Aut(C^2) of polynomial automorphisms of the plane, or the Cremona group Bir(P^2) of birational selfmaps of the projective plane, an ubiquitous property seems to be the existence of spaces with non … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131121T160000-j%C3%A9r%C3%A9my-blanc@math.utah.edu DTSTART;TZID=America/Denver:20131121T160000 DTEND;TZID=America/Denver:20131121T170000 DTSTAMP:20260819T205508Z SUMMARY:Dynamical degrees of birational transformations of projective surfaces DESCRIPTION:Speaker: Jérémy Blanc\, University of Basel\n\nTBA LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131126T153000-feng-qu@math.utah.edu DTSTART;TZID=America/Denver:20131126T153000 DTEND;TZID=America/Denver:20131126T163000 DTSTAMP:20260819T205508Z SUMMARY:Invariance of quantum rings under ordinary flops DESCRIPTION:Speaker: Feng Qu\, University of Utah\n\nThe crepant transformation conjecture (CTC) predicts that K-equivalent smooth projective varieties have isomorphic quantum rings. We are interested in checking the conjecture for the local models of ordinary flops. The local model of an ordinary flop is determined by two vector bundles of the same … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131205T143000-bhargav-bhatt@math.utah.edu DTSTART;TZID=America/Denver:20131205T143000 DTEND;TZID=America/Denver:20131205T153000 DTSTAMP:20260819T205508Z SUMMARY:The proetale topology DESCRIPTION:Speaker: Bhargav Bhatt\, IAS\n\n(joint work with Peter Scholze) The proetale topology is a Grothendieck topology that is closely related to the etale topology, yet better suited for certain "infinite" constructions, typically encountered in l-adic cohomology. I will first explain the basic definitions, with ample motivation, and … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT BEGIN:VEVENT UID:20131206T140000-wei-ho@math.utah.edu DTSTART;TZID=America/Denver:20131206T140000 DTEND;TZID=America/Denver:20131206T150000 DTSTAMP:20260819T205508Z SUMMARY:Families of lattice-polarized K3 surfaces DESCRIPTION:Speaker: Wei Ho\, Colubmia University\n\nTBA LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2013-fall/ END:VEVENT END:VCALENDAR