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 2014 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20140107T153000-luke-oeding@math.utah.edu DTSTART;TZID=America/Denver:20140107T153000 DTEND;TZID=America/Denver:20140107T163000 DTSTAMP:20260819T205508Z SUMMARY:Secant Cumulants and Toric Geometry DESCRIPTION:Speaker: Luke Oeding\, Auburn University\n\nWe study the secant line variety of the Segre product of projective spaces using special cumulant coordinates adapted for secant varieties. We show that the secant variety is covered by open normal toric varieties. We prove that in cumulant coordinates its ideal is generated by binomial quadrics. We … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140114T153000-chunyi-li@math.utah.edu DTSTART;TZID=America/Denver:20140114T153000 DTEND;TZID=America/Denver:20140114T163000 DTSTAMP:20260819T205508Z SUMMARY:The deformation of Hilb P2 and stability condition DESCRIPTION:Speaker: Chunyi Li\, University of Illinois at Urbana Champaign\n\nThe deformation of the Hilbert scheme of points on the projective plane is studied by Hitchin, Nevins and Stafford via different approaches. I will introduce these constructions, and talk about my recent results on the minimal model program of the deformation of Hilb P2. LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140121T153000-felix-janda@math.utah.edu DTSTART;TZID=America/Denver:20140121T153000 DTEND;TZID=America/Denver:20140121T163000 DTSTAMP:20260819T205508Z SUMMARY:Tautological relations and cohomological field theories DESCRIPTION:Speaker: Felix Janda\, ETH Zurich\n\nTautological classes form a subring of the Chow ring of the moduli space of curves. There is an explicit set of generators but the set of relations remains unknown. In 2012 Aaron Pixton gave an explicit set of conjectural relations and gave a lot of evidence that these are actually all the … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140128T153000-emily-clader@math.utah.edu DTSTART;TZID=America/Denver:20140128T153000 DTEND;TZID=America/Denver:20140128T163000 DTSTAMP:20260819T205508Z SUMMARY:Tautological relations via the orbifold C/Z_r DESCRIPTION:Speaker: Emily Clader\, University of Michigan\n\nTautological classes are certain elements of the cohomology or Chow ring of the moduli space of curves that are important in Gromov-Witten theory. We describe a method for deriving relations between these classes by studying the Gromov-Witten theory of the orbifold C/Z_r. Furthermore, we show that … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140204T153000-yi-zhu@math.utah.edu DTSTART;TZID=America/Denver:20140204T153000 DTEND;TZID=America/Denver:20140204T163000 DTSTAMP:20260819T205508Z SUMMARY:Iitaka's philosophy and rational curves DESCRIPTION:Speaker: Yi Zhu\, University of Utah\n\nIitaka's philosphy claims that whenever we have a theorem for complete varieties, we should have a counter-theorem for open varieties. In this talk, I will give an introduction on this philosophy with examples and evidence. Then I will explain the recent progress on the theory of rational curves on … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140211T153000-izzet-coskun@math.utah.edu DTSTART;TZID=America/Denver:20140211T153000 DTEND;TZID=America/Denver:20140211T163000 DTSTAMP:20260819T205508Z SUMMARY:Brill-Noether divisors in the moduli spaces of sheaves on the plane DESCRIPTION:Speaker: Izzet Coskun\, University of Illinois at Chicago\n\nI will discuss joint work with Jack Huizenga and Matthew Woolf, where we describe the effective cone of the moduli spaces of semistable sheaves on the plane. The calculation is inspired by Bridgeland stability and hinges on the classification of stable vector bundles on the plane. The fractal nature … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140212T140000-karl-schwede@math.utah.edu DTSTART;TZID=America/Denver:20140212T140000 DTEND;TZID=America/Denver:20140212T150000 DTSTAMP:20260819T205508Z SUMMARY:Inversion of adjunction for rational and Du Bois pairs DESCRIPTION:Speaker: Karl Schwede\, Penn State University\n\nWe prove a new inversion of adjunction statement for rational and Du Bois singularities. Roughly speaking, this says that if we have a family over a smooth base with Du Bois special fiber and rational generic fiber, then the total space also has rational singularities. Furthermore, we even … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140218T153000-richard-wentworth@math.utah.edu DTSTART;TZID=America/Denver:20140218T153000 DTEND;TZID=America/Denver:20140218T163000 DTSTAMP:20260819T205508Z SUMMARY:The Yang-Mills flow on Kaehler manifolds DESCRIPTION:Speaker: Richard Wentworth\, University of Maryland\n\nThe fundamental work of Donaldson and Uhlenbeck-Yau proves the the smooth convergence of the Yang-Mills flow of stable integrable unitary connections on hermitian vector bundles over Kaehler manifolds. This was generalized by Bando and Siu to incorporate certain (singular) hermitian structures on … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140225T153000-qile-chen@math.utah.edu DTSTART;TZID=America/Denver:20140225T153000 DTEND;TZID=America/Denver:20140225T163000 DTSTAMP:20260819T205508Z SUMMARY:A^1-curves on quasi-projective varieties DESCRIPTION:Speaker: Qile Chen\, Columbia University\n\nThe theory of stable log maps was developed recently for studying the degeneration of Gromov-Witten invariants. In this talk, I will introduce another important aspect of stable log maps as a useful tool for investigating A^1-curves on quasi-projective varieties, which are the analogue of rational … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140304T153000-martin-olsson@math.utah.edu DTSTART;TZID=America/Denver:20140304T153000 DTEND;TZID=America/Denver:20140304T163000 DTSTAMP:20260819T205508Z SUMMARY:Fourier-Mukai partners in positive characteristic DESCRIPTION:Speaker: Martin Olsson\, UC Berkeley\n\nI will discuss my joint with work Max Lieblich on Fourier-Mukai partners of K3 surfaces in positive characteristic. In particular, I will discuss the finiteness of the number of Fourier-Mukai partners of a given K3 surface, their realizations as moduli spaces of vector bundles, and various … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140311T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20140311T153000 DTEND;TZID=America/Denver:20140311T163000 DTSTAMP:20260819T205508Z SUMMARY:SPRING BREAK DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140318T153000-brian-osserman@math.utah.edu DTSTART;TZID=America/Denver:20140318T153000 DTEND;TZID=America/Denver:20140318T163000 DTSTAMP:20260819T205508Z SUMMARY:Recent progress on vector bundles with sections DESCRIPTION:Speaker: Brian Osserman\, UC Davis\n\nHigher-rank Brill-Noether, at its most basic, seeks to answer the following question: how many global sections can a (semistable) vector bundle of given rank and degree have on general curve of genus g? When there exist vector bundles with a k-dimensional space of sections, one then asks how many … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140325T153000-dragos-oprea@math.utah.edu DTSTART;TZID=America/Denver:20140325T153000 DTEND;TZID=America/Denver:20140325T163000 DTSTAMP:20260819T205508Z SUMMARY:The Chern classes of the Verlinde bundles DESCRIPTION:Speaker: Dragos Oprea\, UC San Diego\n\nThe Verlinde bundles over the moduli space M_g are obtained by considering relative moduli spaces of semistable bundles over smooth curves and associated theta divisors. Their ranks are given by the well-studied Verlinde numbers. I will discuss a formula for the total Chern character of the Verlinde … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140403T140000-ionut-ciocan-fontanine@math.utah.edu DTSTART;TZID=America/Denver:20140403T140000 DTEND;TZID=America/Denver:20140403T150000 DTSTAMP:20260819T205508Z SUMMARY:Quasimaps, wall-crossings, and mirror symmetry DESCRIPTION:Speaker: Ionut Ciocan-Fontanine\, University of Minnesota\n\nQuasimaps provide compactifications, depending on a stability parameter, for moduli spaces of maps from nonsingular algebraic curves to a large class of GIT quotients. These compactifications enjoy good properties and in particular they carry virtual fundamental classes. As the parameter varies, the … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140408T153000-joonyeong-won@math.utah.edu DTSTART;TZID=America/Denver:20140408T153000 DTEND;TZID=America/Denver:20140408T163000 DTSTAMP:20260819T205508Z SUMMARY:Cylinders in del Pezzo surfaces DESCRIPTION:Speaker: Joonyeong Won\, KIAS (Korea)\n\nLet (X,H) be a ample polarization of a projective variety X. An H-polar cylinder in X is an open affine cylinder-like set whose complement is a support of an effective Q-divisor Q-rationally equivalent to H. This notion relates affine, birational and Kaehler geometry. we will show how to construct … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140415T153000-mathieu-huruguen@math.utah.edu DTSTART;TZID=America/Denver:20140415T153000 DTEND;TZID=America/Denver:20140415T163000 DTSTAMP:20260819T205508Z SUMMARY:Special reductive groups over an arbitrary field DESCRIPTION:Speaker: Mathieu Huruguen\, University of British Columbia\n\nA linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In a modern language, it can be shown that the special groups are those of essential dimension zero. In 1958 Grothendieck classified special groups in the case where the … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT BEGIN:VEVENT UID:20140422T153000-enrico-arbarello@math.utah.edu DTSTART;TZID=America/Denver:20140422T153000 DTEND;TZID=America/Denver:20140422T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli of sheaves on a K3 surface and quiver varieties DESCRIPTION:Speaker: Enrico Arbarello\, Università di Roma La Sapienza\n\nIn a joint work with Giulia Saccà, we study the singularities of moduli spaces of rank 0 sheaves on K3 surface; we prove, in a number of cases, the formality of their Kuranishi family; and we relate their symplectic resolutions to the ones of Nakajima's quiver varieties coming from variations of GIT … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2014-spring/ END:VEVENT END:VCALENDAR