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 2014 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20140902T153000-yu-chao-tu@math.utah.edu DTSTART;TZID=America/Denver:20140902T153000 DTEND;TZID=America/Denver:20140902T163000 DTSTAMP:20260819T205508Z SUMMARY:Higher ramification loci over homogeneous spaces DESCRIPTION:Speaker: Yu-Chao Tu\, University of Utah\n\nConsider a branched covering map from an irreducible projective variety X to a smooth variety Y. In 1980, Gaffney and Lazarsfeld extended the notion of branched locus to “higher ramification loci” which stratifies the branched locus, and they proved that when Y is a projective space, there are … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20140909T153000-karl-schwede@math.utah.edu DTSTART;TZID=America/Denver:20140909T153000 DTEND;TZID=America/Denver:20140909T163000 DTSTAMP:20260819T205508Z SUMMARY:F-singularities and weak ordinarity DESCRIPTION:Speaker: Karl Schwede\, University of Utah\n\nI will discuss recent work of Bhargav Bhatt, myself and Shunsuke Takagi relating several open problems and generalizing work of Mustata and Srinivas. First: whether a smooth complex variety is ordinary after reduction to characteristic $p > 0$ for infinitely many $p$. Second: that multiplier ideals … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20140916T153000-tiankai-liu@math.utah.edu DTSTART;TZID=America/Denver:20140916T153000 DTEND;TZID=America/Denver:20140916T163000 DTSTAMP:20260819T205508Z SUMMARY:Cuspidal curves and Cremona transformations DESCRIPTION:Speaker: Tiankai Liu\, University of Utah\n\nWe抣l discuss various constraints on rational curves homeomorphic to their normalizations in the complex projective plane, and consider the question of whether every such curve is necessarily equivalent to a line, under a birational automorphism of the plane. LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20140923T153000-herbert-clemens@math.utah.edu DTSTART;TZID=America/Denver:20140923T153000 DTEND;TZID=America/Denver:20140923T163000 DTSTAMP:20260819T205508Z SUMMARY:A global model for heterotic - F-theory duality with Wilson line symmetry breaking DESCRIPTION:Speaker: Herbert Clemens\, University of Utah\n\nWe construct a global geometric model for heterotic - F-theory duality, that is, a Calabi-Yau threefold with two flat E_8 bundles with SU(5)-symmetry (heterotic side) and a Calabi-Yau fourfold with SU(5) root symmetry (F-theory side), both equipped with compatible involutions that, in the respective … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20140930T153000-katrina-honigs@math.utah.edu DTSTART;TZID=America/Denver:20140930T153000 DTEND;TZID=America/Denver:20140930T163000 DTSTAMP:20260819T205508Z SUMMARY:Zeta Functions of Derived Equivalent Varieties DESCRIPTION:Speaker: Katrina Honigs\, UC Berkeley\n\nIn this talk I will present results demonstrating that derived equivalence between varieties over finite fields that are either abelian or surfaces implies equality of zeta functions. LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141007T153000-alexander-polishchuk@math.utah.edu DTSTART;TZID=America/Denver:20141007T153000 DTEND;TZID=America/Denver:20141007T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli of curves and A-infinity structures DESCRIPTION:Speaker: Alexander Polishchuk\, University of Oregon\n\nI will describe an elementary construction of invariants of higher genus curves which are analogous to the j-invariant of an elliptic curve. Then I will discuss how the j-invariant and its higher genus analogs appear in the study of certain A-infinity algebras associated with algebraic curves. I … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141014T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20141014T153000 DTEND;TZID=America/Denver:20141014T163000 DTSTAMP:20260819T205508Z SUMMARY:FALL BREAK DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141021T153000-rachel-webb@math.utah.edu DTSTART;TZID=America/Denver:20141021T153000 DTEND;TZID=America/Denver:20141021T163000 DTSTAMP:20260819T205508Z SUMMARY:Landau-Ginzburg mirror symmetry DESCRIPTION:Speaker: Rachel Webb\, Brigham Young University\n\nI will present the Landau-Ginzburg mirror symmetry conjecture and its proof for all invertible singularities. The proof includes a reconstruction theorem for the A-model (FJRW theory) and the B-model (Saito-Givental theory) which states that the all-genus potential is determined by certain terms of … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141028T160000-dmitry-zakharov@math.utah.edu DTSTART;TZID=America/Denver:20141028T160000 DTEND;TZID=America/Denver:20141028T170000 DTSTAMP:20260819T205508Z SUMMARY:The Abel--Jacobi map and relations in the tautological ring DESCRIPTION:Speaker: Dmitry Zakharov\, Courant Institute of Mathematical Sciences, New York University\n\nGiven an algebraic curve with marked points and integer weights on the markings, we can consider the corresponding divisor. This defines an Abel--Jacobi map from the moduli space of marked curves of compact type to the universal Jacobian variety. Pulling back relations from the universal Jacobian … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141104T153000-jesse-kass@math.utah.edu DTSTART;TZID=America/Denver:20141104T153000 DTEND;TZID=America/Denver:20141104T163000 DTSTAMP:20260819T205508Z SUMMARY:What is the limit of a line bundle on a nonnormal variety? DESCRIPTION:Speaker: Jesse Kass\, University of South Carolina\n\nOn a nonnormal variety, the limit of a family of line bundles is not always a line bundle. What is the limit? I will present an answer to this question and give some applications. Time permitting, I will discuss connections with Néron models, autoduality, and recent work of R. Hartshorne and C. … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141111T153000-brian-lehmann@math.utah.edu DTSTART;TZID=America/Denver:20141111T153000 DTEND;TZID=America/Denver:20141111T163000 DTSTAMP:20260819T205508Z SUMMARY:Positivity for cycles and asymptotic invariants DESCRIPTION:Speaker: Brian Lehmann\, Boston College\n\nDivisors exhibit a close relationship between numerical "positivity" and asymptotic invariants. I will discuss the analogous principle for cycle classes of arbitrary codimension. LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141118T153000-dawei-chen@math.utah.edu DTSTART;TZID=America/Denver:20141118T153000 DTEND;TZID=America/Denver:20141118T163000 DTSTAMP:20260819T205508Z SUMMARY:Effective divisors on moduli space of curves DESCRIPTION:Speaker: Dawei Chen\, Boston College\n\nThe cone of effective divisors contains important information about the birational geometry of a variety. In this talk I will give an introduction to this subject, with a focus on the case when the ambient variety is the moduli space of curves. If time permits, I will also talk about effective … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141125T153000-drew-johnson@math.utah.edu DTSTART;TZID=America/Denver:20141125T153000 DTEND;TZID=America/Denver:20141125T163000 DTSTAMP:20260819T205508Z SUMMARY:Strange Duality for Del Pezzo Surfaces DESCRIPTION:Speaker: Drew Johnson\, University of Utah\n\nStrange duality is a conjectural perfect pairing between sections of determinant (or theta) line bundles on moduli spaces of sheaves. Marian and Oprea resolved this conjecture in the affirmative for curves by constructing a finite Quot scheme whose points gave a basis for the image of the strange … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141202T153000-sebastian-casalaina-martin@math.utah.edu DTSTART;TZID=America/Denver:20141202T153000 DTEND;TZID=America/Denver:20141202T163000 DTSTAMP:20260819T205508Z SUMMARY:Geometry of compactified Jacobians DESCRIPTION:Speaker: Sebastian Casalaina-Martin\, University of Colorado at Boulder\n\nThere is a close connection between the geometry of a smooth curve, and the geometry of its Jacobian. In this talk I will discuss joint work with J. Kass and F. Viviani where we investigate the connection between the geometry of a stable curve and its compactified Jacobians, constructed by Caporaso, … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT BEGIN:VEVENT UID:20141209T153000-mark-mclean@math.utah.edu DTSTART;TZID=America/Denver:20141209T153000 DTEND;TZID=America/Denver:20141209T163000 DTSTAMP:20260819T205508Z SUMMARY:Minimal Log Discrepancy of Isolated Singularities and Reeb Orbits. DESCRIPTION:Speaker: Mark McLean\, Stony Brook University\n\nAbstract: Let A be an affine variety inside a complex N dimensional vector space which has an isolated singularity at the origin. The intersection of A with a very small sphere turns out to be a manifold called the link of A. The link has a natural hyperplane distribution called a contact structure. … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2014-fall/ END:VEVENT END:VCALENDAR