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 2017 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20170829T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20170829T153000 DTEND;TZID=America/Denver:20170829T163000 DTSTAMP:20260824T165309Z SUMMARY:Vanishing theorems for Hodge modules DESCRIPTION:Speaker: Lei Wu\, University of Utah\n\nKawamata-Viehweg vanishing is very useful in birational geometry. I will generalize Kawamata-Viehweg vanishing and Nadel vanishing for multiplier ideals to Saito's Hodge modules. Meanwhile, I will construct multiplier subsheaves for Hodge modules generalizing multiplier ideals. As a application, I … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20170905T153000-bronson-lim@math.utah.edu DTSTART;TZID=America/Denver:20170905T153000 DTEND;TZID=America/Denver:20170905T163000 DTSTAMP:20260824T165309Z SUMMARY:Semiorthogonal decompositions of equivariant derived categories of invariant divisors DESCRIPTION:Speaker: Bronson Lim\, University of Utah\n\nGive a smooth variety Y with an action of a finite group G, and given a semiorthogonal decomposition of the derived category D[Y/G] of G-equivariant coherent sheaves on Y into subcategories that are equivalent to derived categories of smooth varieties, we construct a semiorthogonal decomposition for … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20170912T153000-linquan-ma@math.utah.edu DTSTART;TZID=America/Denver:20170912T153000 DTEND;TZID=America/Denver:20170912T163000 DTSTAMP:20260824T165309Z SUMMARY:Perfectoid test ideals DESCRIPTION:Speaker: Linquan Ma\, University of Utah\n\nInspired by the recent solution of the direct summand conjecture of Andre and Bhatt, we introduce perfectoid multiplier/test ideals in mixed characteristic. As an application, we obtain a uniform bound on the growth of symbolic powers in regular rings of mixed characteristic analogous to results of … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20170919T153000-daniel-bragg@math.utah.edu DTSTART;TZID=America/Denver:20170919T153000 DTEND;TZID=America/Denver:20170919T163000 DTSTAMP:20260824T165309Z SUMMARY:Supersingular twistor lines DESCRIPTION:Speaker: Daniel Bragg\, University of Washington\n\nSupersingular K3 surfaces are a remarkable class of varieties that exhibit many unique features of positive characteristic algebraic geometry. We will give a new construction of certain one-parameter families of (twisted) supersingular K3 surfaces, which we call supersingular twistor lines. This … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20170926T145000-siddharth-mathur@math.utah.edu DTSTART;TZID=America/Denver:20170926T145000 DTEND;TZID=America/Denver:20170926T155000 DTSTAMP:20260824T165309Z SUMMARY:Azumaya algebras and the resolution property DESCRIPTION:Speaker: Siddharth Mathur\, University of Washington\n\nAzumaya algebras are (etale) twisted forms of matrix rings. These objects are of great utility because they give rise to Brauer classes. Fifty years ago, Grothendieck asked whether every cohomological Brauer class has a corresponding Azumaya algebra. This question is still open even for smooth … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171010T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20171010T153000 DTEND;TZID=America/Denver:20171010T163000 DTSTAMP:20260824T165309Z SUMMARY:Fall Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171017T153000-remy-van-dobben-de-bruyn@math.utah.edu DTSTART;TZID=America/Denver:20171017T153000 DTEND;TZID=America/Denver:20171017T163000 DTSTAMP:20260824T165309Z SUMMARY:Dominating varieties by liftable ones DESCRIPTION:Speaker: Remy van Dobben de Bruyn\, Columbia University\n\nGiven a smooth projective variety over an algebraically closed field of positive characteristic, can we always dominate it by another smooth projective variety that lifts to characteristic 0? We give a negative answer to this question. LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171024T153000-takumi-murayama@math.utah.edu DTSTART;TZID=America/Denver:20171024T153000 DTEND;TZID=America/Denver:20171024T163000 DTSTAMP:20260824T165309Z SUMMARY:Characterizations of projective space and Seshadri constants in arbitrary characteristic DESCRIPTION:Speaker: Takumi Murayama\, University of Michigan\n\nMori and Mukai conjectured that projective space should be the only n-dimensional Fano variety whose anti-canonical bundle has degree at least n + 1 along every curve. While this conjecture has been proved in characteristic zero, it remains open in positive characteristic. We will present some … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171031T153000-harold-blum@math.utah.edu DTSTART;TZID=America/Denver:20171031T153000 DTEND;TZID=America/Denver:20171031T163000 DTSTAMP:20260824T165309Z SUMMARY:Thresholds, Valuations, and K-stability DESCRIPTION:Speaker: Harold Blum\, University of Michigan\n\nLet L be a line bundle on a projective variety X. We use valuations to measure the singularities of the linear system |mL| as m goes to infinity. Specifically, we consider the global log canonical threshold and stability thresholds of L. The stability threshold generalizes an invariant recently … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171107T153000-laure-flapan@math.utah.edu DTSTART;TZID=America/Denver:20171107T153000 DTEND;TZID=America/Denver:20171107T163000 DTSTAMP:20260824T165309Z SUMMARY:Monodromy groups of Kodaira fibrations DESCRIPTION:Speaker: Laure Flapan\, Northeastern University\n\nA Kodaira fibration is a non-isotrivial fibration f: S --> B from a smooth algebraic surface S to a smooth algebraic curve B such that all the fibers are smooth algebraic curves. Such fibrations thus arise as complete curves inside the moduli space M_g of genus g algebraic curves. We investigate the … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171114T153000-jingjun-han@math.utah.edu DTSTART;TZID=America/Denver:20171114T153000 DTEND;TZID=America/Denver:20171114T163000 DTSTAMP:20260824T165309Z SUMMARY:The ACC for log canonical threshold polytopes DESCRIPTION:Speaker: Jingjun Han\, Peking University\n\nThe LCT (log canonical thresholds) is an invariant which measures the complexity of singularities. A conjecture due to Shokurov predicts that LCT for a single divisor satisfy the ACC (ascending chain condition), and it was proven by Hacon-McKernan-Xu. In this talk, I will sketch the proof of the ACC … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171121T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20171121T153000 DTEND;TZID=America/Denver:20171121T163000 DTSTAMP:20260824T165309Z SUMMARY:Cancelled DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT BEGIN:VEVENT UID:20171205T153000-david-stapleton@math.utah.edu DTSTART;TZID=America/Denver:20171205T153000 DTEND;TZID=America/Denver:20171205T163000 DTSTAMP:20260824T165309Z SUMMARY:The Degree of irrationality of hypersurfaces in various Fano varieties DESCRIPTION:Speaker: David Stapleton\, UC San Diego\n\nThe degree of irrationality of an n-dimensional algebraic variety is the minimal degree of a dominant rational map from the variety to n-dimensional projective space. While of a classical flavor, this invariant has not received much attention in dimension n>1 until recently. In this talk we will … LOCATION:LCB 215 URL:http://math.utah.edu/agseminar/2017-fall/ END:VEVENT END:VCALENDAR