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 2019 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20190827T153000-leo-herr@math.utah.edu DTSTART;TZID=America/Denver:20190827T153000 DTEND;TZID=America/Denver:20190827T163000 DTSTAMP:20260819T205508Z SUMMARY:Log Geometry and Gromov-Witten Theory DESCRIPTION:Speaker: Leo Herr\, University of Utah\n\nLog structures endow schemes with tropical/toric data in a natural way. The corresponding notion of ``differentials with log poles'' makes many mildly singular spaces appear smooth, including simple normal crossings and toric varieties. Stranger still, blowups are not only ``\'etale'' and proper, … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20190903T153000-matteo-altavilla@math.utah.edu DTSTART;TZID=America/Denver:20190903T153000 DTEND;TZID=America/Denver:20190903T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli spaces on the Kuznetsov component of Fano threefolds of index 2 DESCRIPTION:Speaker: Matteo Altavilla\, University of Utah\n\nA Fano threefold Y of Picard rank 1 and index 2 admits a canonical semiorthogonal decomposition of its derived category; this decomposition comes with a non-trivial component Ku(Y) — called the Kuznetsov component — that encodes most of the geometry of Y. I will present a joint work with M. Petkovic … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20190910T153000-adrian-langer@math.utah.edu DTSTART;TZID=America/Denver:20190910T153000 DTEND;TZID=America/Denver:20190910T163000 DTSTAMP:20260819T205508Z SUMMARY:Smooth projective D-affine varieties DESCRIPTION:Speaker: Adrian Langer\, University of Warsaw\n\nA D-affine variety is such a variety X that the category of D_X-modules behaves like the category of O_X-modules of an affine variety. Beilinson and Bernstein showed that complex generalized flag varieties are D-affine. It is a folklore conjecture that any smooth projective D-affine variety is of … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20190917T153000-adrian-langer@math.utah.edu DTSTART;TZID=America/Denver:20190917T153000 DTEND;TZID=America/Denver:20190917T163000 DTSTAMP:20260819T205508Z SUMMARY:Nearby-cycles and semipositivity in positive characteristic DESCRIPTION:Speaker: Adrian Langer\, University of Warsaw\n\nI will talk about an analogue of Hodge theory in positive characteristic. In particular, I will show analogues of Schmid’s nilpotent orbit theorem and nearby cycles in positive characteristic. As an application I will prove some strong semipositivity theorems for analogs of complex polarized … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20190924T153000-juliette-bruce@math.utah.edu DTSTART;TZID=America/Denver:20190924T153000 DTEND;TZID=America/Denver:20190924T163000 DTSTAMP:20260819T205508Z SUMMARY:Semi-Ample Asymptotic Syzygies DESCRIPTION:Speaker: Juliette Bruce\, University of Wisconsin\n\nI will discuss the asymptotic non-vanishing of syzygies for products of projective spaces, generalizing the monomial methods of Ein-Erman-Lazarsfeld. This provides the first example of how the asymptotic syzygies of a smooth projective variety whose embedding line bundle grows in a semi-ample … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191001T153000-gebhard-martin@math.utah.edu DTSTART;TZID=America/Denver:20191001T153000 DTEND;TZID=America/Denver:20191001T163000 DTSTAMP:20260819T205508Z SUMMARY:Automorphisms of unnodal Enriques surfaces DESCRIPTION:Speaker: Gebhard Martin\, University of Bonn\n\nIt follows from an observation of A. Coble in 1919 that the automorphism group of an unnodal Enriques surface contains the 2-congruence subgroup of the Weyl group of the E_{10}-lattice. In this talk, I will explain how much bigger the automorphism group of an unnodal Enriques surface can be. … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191008T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20191008T153000 DTEND;TZID=America/Denver:20191008T163000 DTSTAMP:20260819T205508Z SUMMARY:Fall Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191015T153000-yuchen-liu@math.utah.edu DTSTART;TZID=America/Denver:20191015T153000 DTEND;TZID=America/Denver:20191015T163000 DTSTAMP:20260819T205508Z SUMMARY:Openness of K-semistability for Fano varieties DESCRIPTION:Speaker: Yuchen Liu\, Yale University\n\nRecently, the question of whether one can construct nicely behaved moduli spaces for Fano varieties using K-stability has attracted significant interest. More precisely, the Fano K-moduli Conjecture predicts that K-polystable Fano varieties with fixed volume and dimension form a projective good … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191022T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20191022T153000 DTEND;TZID=America/Denver:20191022T163000 DTSTAMP:20260819T205508Z SUMMARY:D-modules, index theorems and topology DESCRIPTION:Speaker: Lei Wu\, University of Utah\n\nIn classical differential geometry, Chern-Gauss-Bonnet theorem provides a beautiful index formula connecting geometry to topology. In the first half of the talk, I will discuss how it can be generalized flatly to all perverse sheaves on projective manifolds using D-modules, which is the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191029T153000-shuai-wang@math.utah.edu DTSTART;TZID=America/Denver:20191029T153000 DTEND;TZID=America/Denver:20191029T163000 DTSTAMP:20260819T205508Z SUMMARY:Relative Gromov-Witten theory and vertex operators (talk starts at 3pm) DESCRIPTION:Speaker: Shuai Wang\, Columbia University\n\nWe study the relative Gromov-Witten theory on T*P^1 \times P^1 and show that certain equivariant limits give us the relative invariants on P^1\times \P^1. By formulating the quantum multiplications on Hilb(T*P^1) computed by Devash Maulik and Alexei Oblomkov as vertex operators and computing the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191105T153000-max-kutler@math.utah.edu DTSTART;TZID=America/Denver:20191105T153000 DTEND;TZID=America/Denver:20191105T163000 DTSTAMP:20260819T205508Z SUMMARY:The motivic zeta function of a matroid DESCRIPTION:Speaker: Max Kutler\, Univeristy of Kentucky\n\nWe associate to any loop-free matroid a motivic zeta function. If the matroid is representable by a complex hyperplane arrangement, then this coincides with the motivic Igusa zeta function of the arrangement. We show that this zeta function is rational and satisfies a functional equation. Moreover, … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT BEGIN:VEVENT UID:20191203T153000-tommaso-de-fernex@math.utah.edu DTSTART;TZID=America/Denver:20191203T153000 DTEND;TZID=America/Denver:20191203T163000 DTSTAMP:20260819T205508Z SUMMARY:Measuring singularities of arc spaces DESCRIPTION:Speaker: Tommaso de Fernex\, University of Utah\n\nThe arc space of a variety is an infinite dimensional object. It relates to valuation theory, and has been used to define string theoretic invariants of singular Calabi-Yau varieties and to study singularities in the minimal model program. The infinitesimal structure of arc spaces present … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2019-fall/ END:VEVENT END:VCALENDAR