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 2015 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20150901T153000-travis-mandel@math.utah.edu DTSTART;TZID=America/Denver:20150901T153000 DTEND;TZID=America/Denver:20150901T163000 DTSTAMP:20260819T205508Z SUMMARY:Tropical curve counting and canonical bases DESCRIPTION:Speaker: Travis Mandel\, University of Utah\n\nGross, Hacking, Keel, and Kontsevich recently constructed certain canonical bases for cluster algebras. The construction is combinatoric, but the bases are conjecturally controlled by the Gromov-Witten theory of the mirror cluster variety. I will discuss a new construction of these bases in terms of … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20150908T153000-ana-j.-reguera@math.utah.edu DTSTART;TZID=America/Denver:20150908T153000 DTEND;TZID=America/Denver:20150908T163000 DTSTAMP:20260819T205508Z SUMMARY:Mather discrepancy as an embedded dimension in the space of arcs DESCRIPTION:Speaker: Ana J. Reguera\, Universidad de Valladolid\n\nThe space of arcs X_\infty of a singular variety X over a perfect field k has finiteness properties when we localize at its stable points. This allows to associate or recover invariants of X from its space of arcs. In the talk I will show some general properties of the stable points, pointing out … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20150915T153000-brooke-ullery@math.utah.edu DTSTART;TZID=America/Denver:20150915T153000 DTEND;TZID=America/Denver:20150915T163000 DTSTAMP:20260819T205508Z SUMMARY:Normality of Secant Varieties DESCRIPTION:Speaker: Brooke Ullery\, University of Utah\n\nIf X is a smooth variety embedded in projective space, we can form a new variety by looking at the closure of the union of all the lines through 2 points on X. This is called the secant variety of X. Similarly, the Hilbert scheme of 2 points on X parametrizes all length 2 zero-dimensional … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20150922T153000-katrina-honigs@math.utah.edu DTSTART;TZID=America/Denver:20150922T153000 DTEND;TZID=America/Denver:20150922T163000 DTSTAMP:20260819T205508Z SUMMARY:Derived Equivalence and Pic^0 DESCRIPTION:Speaker: Katrina Honigs\, University of Utah\n\nThe aim of this talk is to present Popa and Schnell's result demonstrating that derived equivalent varieties over the complex numbers have isogenous Pic^0's and discuss the possibility of extending the result to varieties over algebraically closed fields of positive characteristic. We will give an … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20150929T153000-ian-shipman@math.utah.edu DTSTART;TZID=America/Denver:20150929T153000 DTEND;TZID=America/Denver:20150929T163000 DTSTAMP:20260819T205508Z SUMMARY:Remarks on Ulrich bundles DESCRIPTION:Speaker: Ian Shipman\, University of Utah\n\nGiven a smooth, embedded variety, Ulrich bundles are those bundles satisfying a certain natural extremal property. In my talk, I will survey the history of this class of bundles, and describe the connections with the representation theory of (generalized) Clifford algebras and Brill-Noether theory. … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151006T153000-zach-teitler@math.utah.edu DTSTART;TZID=America/Denver:20151006T153000 DTEND;TZID=America/Denver:20151006T163000 DTSTAMP:20260819T205508Z SUMMARY:Bounds for Waring rank DESCRIPTION:Speaker: Zach Teitler\, Boise State University\n\nThe Waring rank of a complex homogeneous form is the least number of terms in an expression of the form as a sum of powers of linear forms. Waring rank, tensor rank, and various generalized ranks are interesting for a range of applications including secant varieties and geometric complexity theory, … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151013T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20151013T153000 DTEND;TZID=America/Denver:20151013T163000 DTSTAMP:20260819T205508Z SUMMARY:FALL BREAK DESCRIPTION:Speaker: speaker\n\n LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151020T153000-nils-henry-williams-rasmussen@math.utah.edu DTSTART;TZID=America/Denver:20151020T153000 DTEND;TZID=America/Denver:20151020T163000 DTSTAMP:20260819T205508Z SUMMARY:Pencils and nets on curves arising from rank 1 torsion free sheaves on K3 surfaces DESCRIPTION:Speaker: Nils Henry Williams Rasmussen\, University of Utah\n\nGiven a K3 surface S, a smooth curve C and a base-point free linear system A on C, there is an associated vector-bundle on S, depending on C and A, called the Lazarsfeld-Mukai vector bundle. For the case when A is a g^1_d or g^2_d for d small enough, we will show how we can use the vector-bundles to … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151027T153000-mark-shoemaker@math.utah.edu DTSTART;TZID=America/Denver:20151027T153000 DTEND;TZID=America/Denver:20151027T163000 DTSTAMP:20260819T205508Z SUMMARY:Matrix Factorizations in Gromov-Witten Theory DESCRIPTION:Speaker: Mark Shoemaker\, University of Utah\n\nOriginally introduced by Eisenbud in the context of commutative algebra, matrix factorizations have since earned a prominent role in mathematical physics as the "D-branes of type B" in a Landau—Ginzburg model. In this spirit, Orlov proved that a certain category of matrix factorizations over affine … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151103T153000-will-sawin@math.utah.edu DTSTART;TZID=America/Denver:20151103T153000 DTEND;TZID=America/Denver:20151103T163000 DTSTAMP:20260819T205508Z SUMMARY:Frobenius Arithmetic for Frobenius Geometry DESCRIPTION:Speaker: Will Sawin\, Princeton University\n\nThere is a close relationship between the geometry of a variety in characteristic p and the action of Frobenius on its cohomology. This raises the question of how that action varies in a family of varieties of varying characteristic. I will describe our state of knowledge about the distribution of … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151110T153000-amanda-francis@math.utah.edu DTSTART;TZID=America/Denver:20151110T153000 DTEND;TZID=America/Denver:20151110T163000 DTSTAMP:20260819T205508Z SUMMARY:A Landau Ginzburg mirror theorem inspired by Borcea-Voisin symmetry DESCRIPTION:Speaker: Amanda Francis\, BYU\n\nLandau-Ginzburg models appear in mirror symmetry and have connections to other important mathematical models, including those in Borcea-Voisin mirror symmetry. In this talk I will briefly review the history and construction of the A- and B-models in Landau-Ginzburg mirror symmetry and then discuss a … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151117T153000-linquan-ma@math.utah.edu DTSTART;TZID=America/Denver:20151117T153000 DTEND;TZID=America/Denver:20151117T163000 DTSTAMP:20260819T205508Z SUMMARY:Lim Cohen-Macaulay sequence DESCRIPTION:Speaker: Linquan Ma\, University of Utah\n\nWe introduce the notion of a lim Cohen-Macaulay sequence of nonzero Noetherian modules {M_n}_n over a local ring R. The definition is phrased in terms of asymptotic length of higher Kozul homology of M_n with respect to one (equivalently, every) system of parameters. We prove that if lim … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151124T153000-adam-boocher@math.utah.edu DTSTART;TZID=America/Denver:20151124T153000 DTEND;TZID=America/Denver:20151124T163000 DTSTAMP:20260819T205508Z SUMMARY:Hyperplane Sections of Determinantal Varieties DESCRIPTION:Speaker: Adam Boocher\, University of Utah\n\nThe set of k by n matrices with rank at most r naturally forms an algebraic variety. Its defining equations are given by determinants and it enjoys many beautiful properties. In this talk I'll discuss some recent work that describes how these varieties behave upon specialization with some … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151201T153000-daniel-litt@math.utah.edu DTSTART;TZID=America/Denver:20151201T153000 DTEND;TZID=America/Denver:20151201T163000 DTSTAMP:20260819T205508Z SUMMARY:Non-Abelian Lefschetz Hyperplane Theorems DESCRIPTION:Speaker: Daniel Litt\, Columbia University\n\nHow are the properties of a variety X related to those of an ample divisor D in X? Classical Lefschetz hyperplane theorems answer this question by comparing the cohomology or homotopy type of X to that of D. I'll describe new results, encapsulating some of these older Lefschetz theorems, which … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT BEGIN:VEVENT UID:20151208T153000-barbara-bolognese@math.utah.edu DTSTART;TZID=America/Denver:20151208T153000 DTEND;TZID=America/Denver:20151208T163000 DTSTAMP:20260819T205508Z SUMMARY:Strange Duality and Verlinde numbers on abelian surfaces DESCRIPTION:Speaker: Barbara Bolognese\, Northeastern University\n\nWith the purpose of examining some relevant geometric properties of the moduli space of sheaves over an algebraic surface, Le Potier conjectured some unexpected duality between the complete linear series of certain natural divisors, called Theta divisors, on the moduli space. Such conjecture is … LOCATION:JFB 102 URL:http://math.utah.edu/agseminar/2015-fall/ END:VEVENT END:VCALENDAR