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 - Spring 2021 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20210120T160000-kristin-devleming@math.utah.edu DTSTART;TZID=America/Denver:20210120T160000 DTEND;TZID=America/Denver:20210120T170000 DTSTAMP:20260819T205508Z SUMMARY:K moduli of quartic K3 surfaces DESCRIPTION:Speaker: Kristin DeVleming\, University of California San Diego\n\nWe will introduce a family of compactifications of the moduli space of quartic K3 surfaces from K-stability, focusing in detail on the locus of hyperelliptic K3s that arise as double covers of P1xP1 branched over a (4,4) curve. We will show that K stability provides a natural way to interpolate … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210122T160000-man-wai-mandy-cheung@math.utah.edu DTSTART;TZID=America/Denver:20210122T160000 DTEND;TZID=America/Denver:20210122T170000 DTSTAMP:20260819T205508Z SUMMARY:Compactifications of cluster varieties and convexity DESCRIPTION:Speaker: Man-Wai Mandy Cheung\, Harvard University\n\nCluster varieties are log Calabi-Yau varieties which are unions of algebraic tori glued by birational "mutation" maps. They can be seen as a generalization of the toric varieties. In toric geometry, projective toric varieties can be described by polytopes. We will see how to generalize the polytope … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210125T160000-harold-blum@math.utah.edu DTSTART;TZID=America/Denver:20210125T160000 DTEND;TZID=America/Denver:20210125T170000 DTSTAMP:20260819T205508Z SUMMARY:Destabilizations of K-unstable Fano varieties DESCRIPTION:Speaker: Harold Blum\, Stony Brook University\n\nA key feature of stability theories in algebraic geometry is that unstable objects admit uniquely determined optimal destabilizations. This philosophy should hold for K-stability, which is a notion introduced by differential geometers to detect when Fano varieties admit Kahler-Einstein metrics. In … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210129T160000-junliang-shen@math.utah.edu DTSTART;TZID=America/Denver:20210129T160000 DTEND;TZID=America/Denver:20210129T170000 DTSTAMP:20260819T205508Z SUMMARY:Intersection cohomology of the moduli of of 1-dimensional sheaves and the moduli of Higgs bundles DESCRIPTION:Speaker: Junliang Shen\, MIT\n\nIn general, the topology of the moduli space of semistable sheaves on an algebraic variety relies heavily on the choice of the Euler characteristic of the sheaves. We show a striking phenomenon that, for the moduli of 1-dimensional semistable sheaves on a toric del Pezzo surface (e.g. P^2), or the … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210201T090000-tony-yue-yu@math.utah.edu DTSTART;TZID=America/Denver:20210201T090000 DTEND;TZID=America/Denver:20210201T100000 DTSTAMP:20260819T205508Z SUMMARY:Frobenius structure conjecture and application to cluster algebras DESCRIPTION:Speaker: Tony Yue YU\, Université Paris-Sud, Paris-Saclay\n\nI will explain the Frobenius structure conjecture of Gross-Hacking-Keel in mirror symmetry, and an application towards cluster algebras. Let U be an affine log Calabi-Yau variety containing an open algebraic torus. We show that the naive counts of rational curves in U uniquely determine a … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210216T150000-roberto-svaldi@math.utah.edu DTSTART;TZID=America/Denver:20210216T150000 DTEND;TZID=America/Denver:20210216T160000 DTSTAMP:20260819T205508Z SUMMARY:Minimal model program and foliation DESCRIPTION:Speaker: Roberto Svaldi\, EPFL\n\nI will explain recent progress in the birational classification of algebraic foliations in low dimension inspired by the theory of the Minimal Model Program. This is joint work with Calum Spicer. LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210223T153000-lena-ji@math.utah.edu DTSTART;TZID=America/Denver:20210223T153000 DTEND;TZID=America/Denver:20210223T163000 DTSTAMP:20260819T205508Z SUMMARY:Geometrically non-reduced varieties DESCRIPTION:Speaker: Lena Ji\, Princeton University\n\nIn positive characteristic, there exist fibrations between smooth varieties where every fiber is singular or even non-reduced. In the latter case, the generic fiber of the fibration is geometrically non-reduced. We study the failure of generic smoothness and obtain a structural result about … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210302T153000-nathan-chen@math.utah.edu DTSTART;TZID=America/Denver:20210302T153000 DTEND;TZID=America/Denver:20210302T163000 DTSTAMP:20260819T205508Z SUMMARY:Measures of irrationality on codimension two complete intersections DESCRIPTION:Speaker: Nathan Chen\, Stony Brook University\n\nGiven a smooth projective variety whose nonrationality is known, one can try to measure how far it is from being rational. I will explain recent progress in this direction for codimension two complete intersections. LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210309T153000-tatsuro-kawakami@math.utah.edu DTSTART;TZID=America/Denver:20210309T153000 DTEND;TZID=America/Denver:20210309T163000 DTSTAMP:20260819T205508Z SUMMARY:Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic DESCRIPTION:Speaker: Tatsuro Kawakami\, The University of Tokyo\n\nBogomolov-Sommese vanishing asserts that the $i$-th logarithmic reflexive differential form of a log canonical projective pair in characteristic zero does not contain a Weil divisorial sheaf of Iitaka dimension bigger than $i$. In positive characteristic, it is known that the vanishing theorem … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT BEGIN:VEVENT UID:20210316T090000-maciej-zdanowicz@math.utah.edu DTSTART;TZID=America/Denver:20210316T090000 DTEND;TZID=America/Denver:20210316T100000 DTSTAMP:20260819T205508Z SUMMARY:Ordinary varieties with trivial canonical bundle are not uniruled DESCRIPTION:Speaker: Maciej Zdanowicz\, University of Amsterdam\n\nIt is a peculiar property of characteristic p>0 geometry that smooth varieties of non-negative Kodaira dimension could be uniruled. It has been widely believed that such behaviour could actually be mitigated by making appropriate cohomological assumptions. In the talk I will confirm this expectation … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2021-spring/ END:VEVENT END:VCALENDAR