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 2023 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20230905T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20230905T153000 DTEND;TZID=America/Denver:20230905T163000 DTSTAMP:20260819T205508Z SUMMARY:Log geometry and log D-modules DESCRIPTION:Speaker: Lei Wu\, Zhejiang University\n\nThe theory of D-modules provides very powerful tools and solved many important problems. In this talk, I will introduce a natural way to generalize the D-module theory in logarithmic geometry. I will explain log Bernstein inequality and define log holonomic D-modules on smooth log schemes. Then I … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20230912T153000-jihao-liu@math.utah.edu DTSTART;TZID=America/Denver:20230912T153000 DTEND;TZID=America/Denver:20230912T163000 DTSTAMP:20260819T205508Z SUMMARY:Minimal model program for foliations and generalized pairs DESCRIPTION:Speaker: Jihao Liu\, Northwestern University\n\nIn this talk, I will report recent progress on the minimal model program for foliations, applying the theory of Birkar--Zhang’s generalized pairs. Particularly, I will discuss the ACC for lc thresholds and the canonical bundle formula for foliations. Part of this talk is based on a series of joint … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20230919T153000-hsin-ku-chen@math.utah.edu DTSTART;TZID=America/Denver:20230919T153000 DTEND;TZID=America/Denver:20230919T163000 DTSTAMP:20260819T205508Z SUMMARY:On the Chern numbers of smooth complex threefolds DESCRIPTION:Speaker: Hsin-Ku Chen\, KIAS\n\nWe show that the Chern numbers of a smooth complex projective threefold are bounded by a constant which depends only on the topological type of the threefold, provided that the cubic form of the threefold has non-zero discriminant. This is a joint work with Paolo Cascini. LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20230926T153000-sung-gi-park@math.utah.edu DTSTART;TZID=America/Denver:20230926T153000 DTEND;TZID=America/Denver:20230926T163000 DTSTAMP:20260819T205508Z SUMMARY:Kodaira dimension and hyperbolicity for smooth families of varieties DESCRIPTION:Speaker: Sung Gi Park\, Harvard University\n\nIn this talk, I will discuss the behavior of positivity, hyperbolicity, and Kodaira dimension under smooth morphisms of complex quasi-projective manifolds. This includes a vast generalization of a classical result: a fibration from a projective surface of non-negative Kodaira dimension to a … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231003T153000-talon-stark@math.utah.edu DTSTART;TZID=America/Denver:20231003T153000 DTEND;TZID=America/Denver:20231003T163000 DTSTAMP:20260819T205508Z SUMMARY:The cone conjecture in relative dimension 2 DESCRIPTION:Speaker: Talon Stark\, UCLA\n\nThe Kawamata-Morrison-Totaro cone conjecture concerns the action of automorphisms on the nef effective cone in N^1(X) and pseudo-automorphisms (birational automorphisms that are isomorphisms in codimension 1) on the movable effective cone of divisors. The former classifies contractions, and the … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231017T153000-charles-vial@math.utah.edu DTSTART;TZID=America/Denver:20231017T153000 DTEND;TZID=America/Denver:20231017T163000 DTSTAMP:20260819T205508Z SUMMARY:On proper splinters in positive characteristic DESCRIPTION:Speaker: Charles Vial\, Universität Bielefeld\n\nA commutative ring is called a splinter if any finite-module ring extension splits. By the direct summand conjecture, now a theorem due to André, every regular ring is a splinter. The notion of splinter can naturally be extended to schemes. In that context, every normal scheme in characteristic zero … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231031T153000-sridhar-venkatesh@math.utah.edu DTSTART;TZID=America/Denver:20231031T153000 DTEND;TZID=America/Denver:20231031T163000 DTSTAMP:20260819T205508Z SUMMARY:Higher Du Bois and Higher Rational Singularities DESCRIPTION:Speaker: Sridhar Venkatesh\, University of Michigan\n\nk-Du Bois and k-rational singularities are recently introduced refinements of the classical notions of Du Bois and rational singularities, and they have been extensively studied in the local complete intersection (lci) case. Building on a well known result of Kovács that rational singularities are … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231107T153000-c.-eric-overton-walker@math.utah.edu DTSTART;TZID=America/Denver:20231107T153000 DTEND;TZID=America/Denver:20231107T163000 DTSTAMP:20260819T205508Z SUMMARY:Cotangent complexes of derived jet and arc spaces DESCRIPTION:Speaker: C. Eric Overton-Walker\, University of Arkansas\n\nMotivated by studying the birational geometry of the jet and arc schemes of a scheme X, de Fernex and Docampo (2020) described the cotangent sheaf of the jets and arcs in terms of the cotangent sheaf of X. Our work (joint with Roi Docampo and Lance Edward Miller) asks a subsequent question: how may … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231114T153000-swaraj-pande@math.utah.edu DTSTART;TZID=America/Denver:20231114T153000 DTEND;TZID=America/Denver:20231114T163000 DTSTAMP:20260819T205508Z SUMMARY:A Frobenius version of Tian's alpha invariant, and the F-signature of Fano varieties. DESCRIPTION:Speaker: Swaraj Pande\, University of Michigan\n\nThe Alpha invariant of a complex Fano manifold was introduced by Tian to detect its K-stability, an algebraic condition that implies the existence of a Kähler–Einstein metric. Demailly later reinterpreted the Alpha invariant algebraically in terms of a singularity invariant called the log canonical … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231121T153000-liana-heuberger@math.utah.edu DTSTART;TZID=America/Denver:20231121T153000 DTEND;TZID=America/Denver:20231121T163000 DTSTAMP:20260819T205508Z SUMMARY:Applications of Laurent inversion to K-moduli DESCRIPTION:Speaker: Liana Heuberger\, University of Bath\n\nI will discuss how to use Laurent inversion, a technique coming from mirror symmetry which constructs toric embeddings, to study the local structure of the K-moduli space of a K-polystable toric Fano variety. More specifically, starting from a given toric Fano 3-fold X of anticanonical volume 28 and … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT BEGIN:VEVENT UID:20231205T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20231205T153000 DTEND;TZID=America/Denver:20231205T163000 DTSTAMP:20260819T205508Z SUMMARY:Chengxi Wang DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-fall/ END:VEVENT END:VCALENDAR