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 2020 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20200922T153000-alicia-lamarche@math.utah.edu DTSTART;TZID=America/Denver:20200922T153000 DTEND;TZID=America/Denver:20200922T163000 DTSTAMP:20260819T205508Z SUMMARY:Derived Categories, Arithmetic, and Rationality DESCRIPTION:Speaker: Alicia Lamarche\, University of Utah\n\nWhen trying to apply the machinery of derived categories in an arithmetic setting, a natural question is the following: for a smooth projective variety $X$, to what extent can $D^b(X)$ be used as an invariant to answer rationality questions? In particular, what properties of $D^b(X)$ are implied by … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2020-fall/ END:VEVENT BEGIN:VEVENT UID:20201006T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20201006T153000 DTEND;TZID=America/Denver:20201006T163000 DTSTAMP:20260819T205508Z SUMMARY:Cohen-Macaulayness in the study of D-modules DESCRIPTION:Speaker: Lei Wu\, University of Utah\n\nCohen-Macaulay rings play a central role in commutative algebra. Translating to algebraic geometry, we have Cohen-Macaulay schemes. Cohen-Macaulay schemes have many nice geometric properties. In this talk, I will explain how we can understand Cohen-Macaulay objects in the category of D-modules by … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2020-fall/ END:VEVENT BEGIN:VEVENT UID:20201020T153000-jihao-liu@math.utah.edu DTSTART;TZID=America/Denver:20201020T153000 DTEND;TZID=America/Denver:20201020T163000 DTSTAMP:20260819T205508Z SUMMARY:Recent progress on the ACC conjecture for minimal log discrepancies DESCRIPTION:Speaker: Jihao Liu\, University of Utah\n\nThe ACC conjecture for minimal log discrepancies (mlds) is one of the core conjectures in birational geometry, and is expected to play a crucial role in the proof of termination of flips, one of the most important conjectures of the minimal model program. In this talk, I will survey some of my … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2020-fall/ END:VEVENT BEGIN:VEVENT UID:20201027T153000-devlin-mallory@math.utah.edu DTSTART;TZID=America/Denver:20201027T153000 DTEND;TZID=America/Denver:20201027T163000 DTSTAMP:20260819T205508Z SUMMARY:D-simplicity and bigness of the tangent bundle of Fano varieties DESCRIPTION:Speaker: Devlin Mallory\, University of Michigan\n\nLet $R$ be a singular ring, and $D_R$ the ring of differential operators on $R$. Despite decades of study and many fruitful applications, $D_R$ remains quite mysterious. In this talk, we will discuss connections between the algebraic description of differential operators on singular rings and the … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2020-fall/ END:VEVENT BEGIN:VEVENT UID:20201103T153000-yen-an-chen@math.utah.edu DTSTART;TZID=America/Denver:20201103T153000 DTEND;TZID=America/Denver:20201103T163000 DTSTAMP:20260819T205508Z SUMMARY:Generalized Canonical Models of Foliated Surfaces DESCRIPTION:Speaker: Yen-An Chen\, University of Utah\n\nBy work of McQuillan and Brunella, it is known that foliated surfaces of general type with only canonical foliation singularities admit a unique canonical model. It is then natural to investigate the moduli space parametrizing canonical models. One issue is that the condition being a canonical model … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2020-fall/ END:VEVENT BEGIN:VEVENT UID:20201124T153000-ruijie-yang@math.utah.edu DTSTART;TZID=America/Denver:20201124T153000 DTEND;TZID=America/Denver:20201124T163000 DTSTAMP:20260819T205508Z SUMMARY:Metric positivity for sheaves from Hodge theory DESCRIPTION:Speaker: Ruijie Yang\, Stony Brook University\n\nPositivity of direct images of relative canonical bundles are important for the study of geometry of algebraic morphisms. In this talk, I would like to discuss a notion of metric positivity for coherent sheaves and prove that a large class of sheaves from Hodge theory, including direct images of … LOCATION:Zoom URL:http://math.utah.edu/agseminar/2020-fall/ END:VEVENT END:VCALENDAR