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 2011 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20110906T153000-jie-wang@math.utah.edu DTSTART;TZID=America/Denver:20110906T153000 DTEND;TZID=America/Denver:20110906T163000 DTSTAMP:20260819T205508Z SUMMARY:Generic vanishing results on certain Koszul cohomology groups DESCRIPTION:Speaker: Jie Wang\, University of Utah\n\nA central problem in curve theory is to describe algebraic curves in a given projective space with fixed genus and degree. One wants to know the extrinsic geometry of the curve, i.e information on the equations defining the curve. Koszul cohomology groups in some sense carry 'everything one wants to … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20110913T153000-steffen-marcus@math.utah.edu DTSTART;TZID=America/Denver:20110913T153000 DTEND;TZID=America/Denver:20110913T163000 DTSTAMP:20260819T205508Z SUMMARY:A comparison theorem for double Hurwitz classes and Jacobian classes. DESCRIPTION:Speaker: Steffen Marcus\, University of Utah\n\nConsider the locus L of curves inside the moduli space of smooth curves admitting a map to the projective line with prescribed ramification profile over two points. This geometric condition can be expressed in two equivalent ways, either as a Hurwitz space, or by intersecting sections of the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20110920T153000-william-d.-gillam@math.utah.edu DTSTART;TZID=America/Denver:20110920T153000 DTEND;TZID=America/Denver:20110920T163000 DTSTAMP:20260819T205508Z SUMMARY:Quotient schemes and stable pairs DESCRIPTION:Speaker: William D. Gillam\, Brown University\n\nLet E be a rank two vector bundle over a Riemann surface C. The moduli space of stable pairs on E, in the sense of Pandharipande-Thomas, provides an alternative to the space of stable maps to E for the purpose of "counting" curves in the threefold E. The scaling action on E induces a torus action on … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20110927T153000-davide-fusi@math.utah.edu DTSTART;TZID=America/Denver:20110927T153000 DTEND;TZID=America/Denver:20110927T163000 DTSTAMP:20260819T205508Z SUMMARY:Geometry of varieties of small rational degree DESCRIPTION:Speaker: Davide Fusi\, University of Utah\n\n LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111004T153000-mar%C3%ADa-pe-pereira@math.utah.edu DTSTART;TZID=America/Denver:20111004T153000 DTEND;TZID=America/Denver:20111004T163000 DTSTAMP:20260819T205508Z SUMMARY:Nash problem for surfaces DESCRIPTION:Speaker: María Pe Pereira\, Ins. de Math. de Jussieu\n\nNash formulated this problem in an attempt to understand resolution of singularities of a variety X in relation with the space of arcs in X centered at the singular locus. The space of arcs is an infinite dimensional algebraic variety given by the inverse limit of the spaces of n-jets, which are … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111018T153000-yusuf-mustopa@math.utah.edu DTSTART;TZID=America/Denver:20111018T153000 DTEND;TZID=America/Denver:20111018T163000 DTSTAMP:20260819T205508Z SUMMARY:Ulrich Bundles on del Pezzo Surfaces DESCRIPTION:Speaker: Yusuf Mustopa\, University of Michigan\n\nUlrich bundles occur naturally in a variety of algebraic and algebro-geometric topics, including determinantal and Pfaffian descriptions of hypersurfaces, the computation of resultants, and the representation theory of generalized Clifford algebras. In this talk I will discuss the connection between … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111028T140000-andrei-c%C4%83ld%C4%83raru@math.utah.edu DTSTART;TZID=America/Denver:20111028T140000 DTEND;TZID=America/Denver:20111028T150000 DTSTAMP:20260819T205508Z SUMMARY:The Hodge theorem as a derived self-intersection DESCRIPTION:Speaker: Andrei Căldăraru\, University of Wisconsin, Madison\n\nThe Hodge theorem is one of the most important results in complex geometry. It asserts that for a complex projective variety X the topological invariants \(H^*(X, \mathbb{C})\) can be refined to new ones that reflect the complex structure. The traditional statement and proof of the Hodge theorem are … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111108T153000-brian-lehmann@math.utah.edu DTSTART;TZID=America/Denver:20111108T153000 DTEND;TZID=America/Denver:20111108T163000 DTSTAMP:20260819T205508Z SUMMARY:Algebraic bounds on analytic multiplier ideals DESCRIPTION:Speaker: Brian Lehmann\, Rice University\n\nA classical theorem of Kodaira states that ample line bundles are characterized by the positivity of their curvature form. More generally, one expects that the geometric "positivity" of a line bundle L can be detected on the metrics carried by L. The key tool relating these two concepts is the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111115T153000-dave-anderson@math.utah.edu DTSTART;TZID=America/Denver:20111115T153000 DTEND;TZID=America/Denver:20111115T163000 DTSTAMP:20260819T205508Z SUMMARY:Okounkov bodies, toric degenerations, and polytopes DESCRIPTION:Speaker: Dave Anderson\, University of Washington\n\nGiven a projective variety X of dimension d, a "flag" of subvarieties Y_i, and a big divisor D, Okounkov showed how to construct a convex body in R^d, and in the last few years, this construction has been developed further in work of Kaveh-Khovanskii and Lazarsfeld-Mustata. In general, the Okounkov … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111122T153000-nathan-ilten@math.utah.edu DTSTART;TZID=America/Denver:20111122T153000 DTEND;TZID=America/Denver:20111122T163000 DTSTAMP:20260819T205508Z SUMMARY:On the Hilbert Scheme of Degree Twelve Fano Threefolds DESCRIPTION:Speaker: Nathan Ilten\, University of California, Berkeley\n\nHilbert schemes provide a useful tool for moduli problems, but are difficult to explicitly describe in most situations. In my talk, I will discuss a specific example, namely the Hilbert scheme of degree 12 Fano threefolds. Among its many irreducible components, there are four special components … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111129T153000-wenbo-niu@math.utah.edu DTSTART;TZID=America/Denver:20111129T153000 DTEND;TZID=America/Denver:20111129T163000 DTSTAMP:20260819T205508Z SUMMARY:A regularity bound for normal surfaces DESCRIPTION:Speaker: Wenbo Niu\, Purdue University\n\nCastelnuovo-Mumford regulairy of varieties has drawn considerable attention in recent twenty years. There are two main general results about smooth curves and surfaces. Gruson-Peskine-Lazarsfeld showed that for a smooth curve X, one has \(reg X \leq deg X - codim X+1\). And Lazarsfeld showed that … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT BEGIN:VEVENT UID:20111206T153000-jonathan-wise@math.utah.edu DTSTART;TZID=America/Denver:20111206T153000 DTEND;TZID=America/Denver:20111206T163000 DTSTAMP:20260819T205508Z SUMMARY:Infinitesimal deformation theory and Grothendieck topologies DESCRIPTION:Speaker: Jonathan Wise\, Stanford University\n\nTo probe the infinitesimal structure of a moduli space of geometric objects, one seeks to understand families of those objects over "fat points". Remarkably, these deformation problems tend to admit cohomological solutions of a common form: obstructions in H^2, deformations in H^1, and automorphisms … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2011-fall/ END:VEVENT END:VCALENDAR