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 2022 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20220125T110000-quentin-posva@math.utah.edu DTSTART;TZID=America/Denver:20220125T110000 DTEND;TZID=America/Denver:20220125T120000 DTSTAMP:20260819T205508Z SUMMARY:Gluing theory for slc varieties in positive characteristic DESCRIPTION:Speaker: Quentin Posva\, EPFL\n\nGluing theory describes the lc pairs that arise as normalisations of slc varieties, and allow to navigate between these two types of objects. In characteristic zero the theory was developed by Kollár, and it has applications to MMP and moduli theory. In this talk, I will review my recent work on … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220201T153000-sebastian-bozlee@math.utah.edu DTSTART;TZID=America/Denver:20220201T153000 DTEND;TZID=America/Denver:20220201T163000 DTSTAMP:20260819T205508Z SUMMARY:A classification of Gorenstein compactifications of M_{1,n} DESCRIPTION:Speaker: Sebastian Bozlee\, Tufts University\n\nThe moduli space of pointed algebraic curves M_{g,n} of genus g is of fundamental interest in algebraic geometry. However, it is not compact, so one searches for compactifications of M_{g,n} which are themselves moduli spaces. Each such compactification is a richly interpretable birational model of … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220208T110000-samouil-molcho@math.utah.edu DTSTART;TZID=America/Denver:20220208T110000 DTEND;TZID=America/Denver:20220208T120000 DTSTAMP:20260819T205508Z SUMMARY:Compactifications of the Universal Jacobian via Tropical Geometry DESCRIPTION:Speaker: Samouil Molcho\, ETH Zurich\n\nThe Jacobian of the universal curve over the moduli space of stable curves is not proper. The problem of compactifying it has been the subject of long and extensive study. In parallel, an analogous theory has emerged in the realm of tropical geometry, and it has been clear that the two theories are … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220215T153000-andres-fernandez-herrero@math.utah.edu DTSTART;TZID=America/Denver:20220215T153000 DTEND;TZID=America/Denver:20220215T163000 DTSTAMP:20260819T205508Z SUMMARY:Intrinsic construction of moduli spaces via affine Grassmannians DESCRIPTION:Speaker: Andres Fernandez Herrero\, Cornell University\n\nModuli spaces arise as a geometric way of classifying objects of interest in algebraic geometry. For example, there exists a quasiprojective moduli space that parametrizes stable vector bundles on a smooth projective curve C. In order to further understand the geometry of this space, Mumford … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220222T153000-giulia-sacc%C3%A0@math.utah.edu DTSTART;TZID=America/Denver:20220222T153000 DTEND;TZID=America/Denver:20220222T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli spaces on K3 categories are Irreducible Symplectic Varieties DESCRIPTION:Speaker: Giulia Saccà\, Columbia University\n\nRecent developments by Druel, Greb-Guenancia-Kebekus, Horing-Peternell have led to the formulation of a decomposition theorem for singular (klt) projective varieties with numerical trivial canonical class. Irreducible symplectic varieties are one the building blocks provided by this theorem, and the … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220301T153000-kenneth-ascher@math.utah.edu DTSTART;TZID=America/Denver:20220301T153000 DTEND;TZID=America/Denver:20220301T163000 DTSTAMP:20260819T205508Z SUMMARY:K-stability and binational models of the moduli space of quartic K3 surfaces DESCRIPTION:Speaker: Kenneth Ascher\, UC Irvine\n\nUsing K-moduli we describe various compactifications of the moduli space of quartic K3 surfaces. These compactifications naturally interpolate between the GIT and Baily-Borel compactifications, and as a result, we verify Laza-O’Grady’s conjecture on the Hassett-Keel-Looijenga program for this moduli … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220315T153000-jaroslaw-wlodarczyk@math.utah.edu DTSTART;TZID=America/Denver:20220315T153000 DTEND;TZID=America/Denver:20220315T163000 DTSTAMP:20260819T205508Z SUMMARY:Functorial resolution by torus actions DESCRIPTION:Speaker: Jaroslaw Wlodarczyk\, Purdue\n\nWe show a simple and fast embedded resolution of varieties and principalization of ideals in the language of torus actions on ambient smooth schemes with or without SNC divisors. The canonical functorial resolution of varieties in characteristic zero is given by, the introduced here, operations of … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220322T153000-isabel-vogt@math.utah.edu DTSTART;TZID=America/Denver:20220322T153000 DTEND;TZID=America/Denver:20220322T163000 DTSTAMP:20260819T205508Z SUMMARY:Normal bundles of canonical curves DESCRIPTION:Speaker: Isabel Vogt\, Brown University\n\nThe extrinsic geometry of the canonical model of a nonhyperelliptic curve captures many aspects of the intrinsic geometry of the curve. In this talk I will discuss joint work with Izzet Coskun and Eric Larson in which we show that the normal bundle of a general canonical curve of genus at least 7 is … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220329T153000-fanjun-meng@math.utah.edu DTSTART;TZID=America/Denver:20220329T153000 DTEND;TZID=America/Denver:20220329T163000 DTSTAMP:20260819T205508Z SUMMARY:Kodaira dimension of fibrations over abelian varieties DESCRIPTION:Speaker: Fanjun Meng\, Northwestern University\n\nThe Kodaira dimension of smooth projective varieties is an important birational invariant. In this talk, we will discuss some conjectures on the behavior of Kodaira dimension proposed by Popa. We prove an additivity result for the log Kodaira dimension of algebraic fiber spaces over abelian … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220405T153000-tommaso-de-fernex@math.utah.edu DTSTART;TZID=America/Denver:20220405T153000 DTEND;TZID=America/Denver:20220405T163000 DTSTAMP:20260819T205508Z SUMMARY:Jet fibers of quasi-finite morphisms DESCRIPTION:Speaker: Tommaso De Fernex\, University of Utah\n\nAny morphism of schemes over a field induces a morphism at the level of arc spaces. We will discuss some finiteness results about the fibers of the latter, and present various applications to arc spaces and beyond. LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220412T153000--@math.utah.edu DTSTART;TZID=America/Denver:20220412T153000 DTEND;TZID=America/Denver:20220412T163000 DTSTAMP:20260819T205508Z SUMMARY:Rescheduled DESCRIPTION:Speaker: -\n\nRescheduled LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220419T153000-joe-waldron@math.utah.edu DTSTART;TZID=America/Denver:20220419T153000 DTEND;TZID=America/Denver:20220419T163000 DTSTAMP:20260819T205508Z SUMMARY:Purely inseparable Galois theory DESCRIPTION:Speaker: Joe Waldron\, Michigan State University\n\nGiven a field \(K\) of characteristic \(p\), a classical result of Jacobson provides a Galois correspondence between finite purely inseparable subfields of exponent one (those with \(K^p\subset L\subset K\)), and sub-restricted Lie algebras of \(\mathrm{Der}(K)\). I will discuss joint work with … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220426T153000-hunter-dinkins@math.utah.edu DTSTART;TZID=America/Denver:20220426T153000 DTEND;TZID=America/Denver:20220426T163000 DTSTAMP:20260819T205508Z SUMMARY:Exotic Quantum Difference Equations and Integral Solutions DESCRIPTION:Speaker: Hunter Dinkins\, UNC Chapel Hill\n\nFrom their beginning, Nakajima quiver varieties have bridged the gap between algebraic geometry and representation theory. Maulik and Okounkov pioneered new such directions in 2012, as they constructed a Hopf algebra acting in the cohomology of quiver varieties. One of their main results is the … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT BEGIN:VEVENT UID:20220503T153000-david-favero@math.utah.edu DTSTART;TZID=America/Denver:20220503T153000 DTEND;TZID=America/Denver:20220503T163000 DTSTAMP:20260819T205508Z SUMMARY:Homotopy Path Algebras DESCRIPTION:Speaker: David Favero\, University of Alberta\n\nI will consider a class of algebras, “Homotopy Path Algebras”, naturally appearing in many contexts; e.g. algebraic topology, sheaf theory, and toric geometry (as full strong exceptional collections of line bundles). I will develop the general theory of such algebras and explain the connection to … LOCATION:See individual entries URL:http://math.utah.edu/agseminar/2022-spring/ END:VEVENT END:VCALENDAR