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 2016 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20160830T153000-grigory-mikhalkin@math.utah.edu DTSTART;TZID=America/Denver:20160830T153000 DTEND;TZID=America/Denver:20160830T163000 DTSTAMP:20260819T205508Z SUMMARY:Quantum index of real plane curves and refined enumerative geometry DESCRIPTION:Speaker: Grigory Mikhalkin\, University of Geneva\n\nWe note that under certain conditions, the area bounded by the logarithmic image of a real plane curve is a half-integer multiple of pi square. The half-integer number can be interpreted as the quantum index of the real curve and used to refine enumerative invariants. LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20160831T153000-jenny-wilson@math.utah.edu DTSTART;TZID=America/Denver:20160831T153000 DTEND;TZID=America/Denver:20160831T163000 DTSTAMP:20260819T205508Z SUMMARY:Representation theory and higher-order stability in the configuration spaces of a manifold DESCRIPTION:Speaker: Jenny Wilson\, Stanford University\n\nLet F_k(M) denote the ordered k-point configuration space of a connected open manifold M. Work of Church and others shows that for a given manifold, as k increases, this family of spaces exhibits a phenomenon called homological "representation stability" with respect to the natural symmetric group … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20160906T153000-chung-ching-lau@math.utah.edu DTSTART;TZID=America/Denver:20160906T153000 DTEND;TZID=America/Denver:20160906T163000 DTSTAMP:20260819T205508Z SUMMARY:On subvarieties with nef normal bundle DESCRIPTION:Speaker: Chung Ching Lau\, University of Utah\n\nThe goal of this talk is to study the positivity of subvarieties with nef normal bundle in terms of intersection theory. We first give a generalization to the notion of subvarieties with nef normal bundle, via the positivity of the exceptional divisor. We call these subvarieties nef. Then we show … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20160913T153000-natalie-hobson@math.utah.edu DTSTART;TZID=America/Denver:20160913T153000 DTEND;TZID=America/Denver:20160913T163000 DTSTAMP:20260819T205508Z SUMMARY:Identities between first Chern classes of vector bundles of conformal blocks DESCRIPTION:Speaker: Natalie Hobson\, University of Georgia\n\nGiven a simple Lie algebra $\mathfrak{g}$, a positive integer $\ell$, and an $n$-tuple $\vec{\lambda}$ of dominant integral weights for $\mathfrak{g}$ at level $\ell$, one can define a vector bundle on $\overline{\operatorname{M}}_{g,n}$ known as a \textit{vector bundle of conformal blocks}. These … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20160920T153000-lei-song@math.utah.edu DTSTART;TZID=America/Denver:20160920T153000 DTEND;TZID=America/Denver:20160920T163000 DTSTAMP:20260819T205508Z SUMMARY:On normal generation of line bundles on a surface DESCRIPTION:Speaker: Lei Song\, University of Kansas\n\nLet $L$ be a line bundle on a smooth projective surface $X$. A conjecture attributed to S. Mukai says if $L\simeq \omega_{X}\otimes A^{\otimes k}$ for some ample line bundle $A$ and an integer $k\ge 4$, then $L$ is normally generated. In this talk, I will discuss various methods and results in the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20160927T153000-aaron-bertram@math.utah.edu DTSTART;TZID=America/Denver:20160927T153000 DTEND;TZID=America/Denver:20160927T163000 DTSTAMP:20260819T205508Z SUMMARY:Veronese secants, Gorenstein rings and stability DESCRIPTION:Speaker: Aaron Bertram\, University of Utah\n\nA hyperplane in the vector space k[x_0,...,x_n]_d of homogeneous polynomials of degree d defines the socle of a Gorenstein graded ring. A canonical Bridgeland stability condition allows us to filter these rings (or more precisely their graded resolutions) as objects of the derived category of … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161004T153000-chi-li@math.utah.edu DTSTART;TZID=America/Denver:20161004T153000 DTEND;TZID=America/Denver:20161004T163000 DTSTAMP:20260819T205508Z SUMMARY:Minimizing normalized volumes of valuations DESCRIPTION:Speaker: Chi Li\, Purdue University\n\nMotivated by the study of Kahler-Einstein/Sasaki-Einstein metrics, I will discuss an algebro-geometric problem of minimizing normalized volumes among all real valuations centered at any Q-Gorenstein klt singularity. It was conjectured that there is always a unique minimizer, which should be … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161011T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20161011T153000 DTEND;TZID=America/Denver:20161011T163000 DTSTAMP:20260819T205508Z SUMMARY:Fall Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161018T153000-tom-alberts@math.utah.edu DTSTART;TZID=America/Denver:20161018T153000 DTEND;TZID=America/Denver:20161018T163000 DTSTAMP:20260819T205508Z SUMMARY:The Geometry of the Last Passage Percolation Model DESCRIPTION:Speaker: Tom Alberts\, University of Utah\n\nLast passage percolation is a well-studied model in probability theory that is simple to state but notoriously difficult to analyze. In recent years it has been shown to be related to many seemingly unrelated things: longest increasing subsequences in random permutations, eigenvalues of random … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161101T153000-calum-spicer@math.utah.edu DTSTART;TZID=America/Denver:20161101T153000 DTEND;TZID=America/Denver:20161101T163000 DTSTAMP:20260819T205508Z SUMMARY:Mori Theory for Foliations DESCRIPTION:Speaker: Calum Spicer\, UC San Diego\n\nWork by McQuillan and Brunella demonstrates the existence of a Mori theory for rank 1 foliations on surfaces. In this talk we will discuss an extension of some of these results to the case of rank 2 foliations on threefolds, as well as indicating how a complete Mori theory could be developed in this … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161108T153000-thomas-goller@math.utah.edu DTSTART;TZID=America/Denver:20161108T153000 DTEND;TZID=America/Denver:20161108T163000 DTSTAMP:20260819T205508Z SUMMARY:Finite quot schemes on the projective plane DESCRIPTION:Speaker: Thomas Goller\, University of Utah\n\nFollowing ideas of Marian and Oprea, finite quot schemes can be used to investigate Le Potier's strange duality conjecture for surfaces. I will discuss recent work with Aaron Bertram and Drew Johnson in which we prove the existence of a large class of finite quot schemes on the projective plane. We … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161116T140000-rachel-pries@math.utah.edu DTSTART;TZID=America/Denver:20161116T140000 DTEND;TZID=America/Denver:20161116T150000 DTSTAMP:20260819T205508Z SUMMARY:Galois action on homology of Fermat curves DESCRIPTION:Speaker: Rachel Pries\, Colorado State University\n\nWe prove a result about the Galois module structure of the Fermat curve using commutative algebra, number theory, and algebraic topology. Specifically, we extend work of Anderson about the action of the absolute Galois group of a cyclotomic field on a relative homology group of the Fermat curve. By … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161121T150000-giulia-sacc%C3%A0@math.utah.edu DTSTART;TZID=America/Denver:20161121T150000 DTEND;TZID=America/Denver:20161121T160000 DTSTAMP:20260819T205508Z SUMMARY:Geometry of O'Grady's 6 dimensional example DESCRIPTION:Speaker: Giulia Saccà\, Stony Brook University\n\nThere are not many known examples of compact irreducible hyperk?hler manifolds. Two series of examples appear in dimension 2n, for every n>1, and are related to the Hilbert scheme of points on a K3 or an abelian surface; and in dimension 6 and 10 there is one extra, or exceptional, deformation … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161129T153000-jeff-achter@math.utah.edu DTSTART;TZID=America/Denver:20161129T153000 DTEND;TZID=America/Denver:20161129T163000 DTSTAMP:20260819T205508Z SUMMARY:Distinguished models of intermediate Jacobians DESCRIPTION:Speaker: Jeff Achter\, Colorado State University\n\nConsider a smooth projective variety over a number field. The image of the associated (complex) Abel-Jacobi map inside the (transcendental) intermediate Jacobian is a complex abelian variety. We show that this abelian variety admits a distinguished model over the original number field, and use it to … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT BEGIN:VEVENT UID:20161206T153000-mihai-paun@math.utah.edu DTSTART;TZID=America/Denver:20161206T153000 DTEND;TZID=America/Denver:20161206T163000 DTSTAMP:20260819T205508Z SUMMARY:Positivity of quotients of cotangent bundles DESCRIPTION:Speaker: Mihai Paun\, University of Illinois at Chicago\n\nI will report on a joint work with F. Campana. Consider a projective manifold whose canonical bundle is pseudo-effective. We show that the determinant of any quotient of some tensor power of its co-tangent bundle is pseudo-effective as well. This can be seen as a generalization of the important … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2016-fall/ END:VEVENT END:VCALENDAR