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 2017 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20170207T153000-travis-mandel@math.utah.edu DTSTART;TZID=America/Denver:20170207T153000 DTEND;TZID=America/Denver:20170207T163000 DTSTAMP:20260824T165309Z SUMMARY:Descendant log Gromov-Witten theory and tropical curves DESCRIPTION:Speaker: Travis Mandel\, University of Utah\n\nGromov-Witten (GW) theory is concerned with virtual counts of algebraic curves which satisfy various conditions. I will motivate the log GW theory of Gross-Siebert and Abramovich-Chen by explaining how log structures result in a theory which is better behaved than ordinary GW theory (e.g., less … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170221T153000-donghai-pan@math.utah.edu DTSTART;TZID=America/Denver:20170221T153000 DTEND;TZID=America/Denver:20170221T163000 DTSTAMP:20260824T165309Z SUMMARY:Galois cyclic covers of the projective line and pencils of Fermat hypersurfaces DESCRIPTION:Speaker: Donghai Pan\, Stanford University\n\nClassically, there are two objects that are particularly interesting to algebraic geometers: hyperelliptic curves and quadrics. The connection between these two seemingly unrelated objects was first revealed by M. Reid, which roughly says that there's a correspondence between hyperelliptic curves … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170228T153000-fei-xie@math.utah.edu DTSTART;TZID=America/Denver:20170228T153000 DTEND;TZID=America/Denver:20170228T163000 DTSTAMP:20260824T165309Z SUMMARY:Toric varieties over non-closed fields DESCRIPTION:Speaker: Fei Xie\, UCLA\n\nToric varieties over non-closed fields can be viewed as "noncommutative" algebraic varieties. More precisely, in Merkurjev-Panin category of motives (a full subcategory of Tabuada's category of noncommutative motives), a smooth projective toric variety subject to certain conditions is an "affine … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170307T153000-jakub-witaszek@math.utah.edu DTSTART;TZID=America/Denver:20170307T153000 DTEND;TZID=America/Denver:20170307T163000 DTSTAMP:20260824T165309Z SUMMARY:Images of toric varieties and liftability of the Frobenius morphism DESCRIPTION:Speaker: Jakub Witaszek\, Imperial College London\n\nThe celebrated proof of the Hartshorne conjecture by Shigefumi Mori allowed for the study of the geometry of higher dimensional varieties through the analysis of deformations of rational curves. One of the many applications of Mori's results was Lazarsfeld's positive answer to the conjecture of … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170314T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20170314T153000 DTEND;TZID=America/Denver:20170314T163000 DTSTAMP:20260824T165309Z SUMMARY:Spring Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170321T153000-wenliang-zhang@math.utah.edu DTSTART;TZID=America/Denver:20170321T153000 DTEND;TZID=America/Denver:20170321T163000 DTSTAMP:20260824T165309Z SUMMARY:A duality theorem for de Rham cohomology of graded D-modules DESCRIPTION:Speaker: Wenliang Zhang\, University of Illinois at Chicago\n\nI will discuss a duality result for de Rham cohomology of graded D-modules and its applications to understanding local cohomology modules associated with embedding of complex smooth projective varieties into projective spaces. (No background on de Rham cohomology or D-modules will be assumed.) This … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170328T153000-roi-docampo@math.utah.edu DTSTART;TZID=America/Denver:20170328T153000 DTEND;TZID=America/Denver:20170328T163000 DTSTAMP:20260824T165309Z SUMMARY:Differentials on the arc space DESCRIPTION:Speaker: Roi Docampo\, University of Oklahoma\n\nWe study the sheaf of K?hler differentials on the arc space of an algebraic variety. We obtain explicit formulas that can be used effectively to understand the local structure of the arc space. The approach leads to new results as well as simpler and more direct proofs of some of the fundamental … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170404T153000-david-h.-yang@math.utah.edu DTSTART;TZID=America/Denver:20170404T153000 DTEND;TZID=America/Denver:20170404T163000 DTSTAMP:20260824T165309Z SUMMARY:Curves on Fano Varieties and Manin's Conjecture DESCRIPTION:Speaker: David H. Yang\, Massachusetts Institute of Technology\n\nFollowing work of Lehmann-Tanimoto, we will discuss what structure can be expected in the moduli space of rational curves of fixed degree in an arbitrary Fano variety X . Among other things, we propose a heuristic that should recover the classical Batyrev-Manin conjecture. Then we will discuss … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170411T153000-tyler-kelly@math.utah.edu DTSTART;TZID=America/Denver:20170411T153000 DTEND;TZID=America/Denver:20170411T163000 DTSTAMP:20260824T165309Z SUMMARY:A Toric Orlov Theorem via Landau-Ginzburg Models DESCRIPTION:Speaker: Tyler Kelly\, University of Cambridge\n\nOrlov's theorem defines and proves that any smooth Fano (resp. general type) hypersurface in projective n-space has a subcategory (resp. supercategory) in its bounded derived category of coherent sheaves that is a Fractional Calabi-Yau category. We prove this is the case for a certain class of toric … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170418T153000-kalina-mincheva@math.utah.edu DTSTART;TZID=America/Denver:20170418T153000 DTEND;TZID=America/Denver:20170418T163000 DTSTAMP:20260824T165309Z SUMMARY:Prime congruences and Krull dimension for additively idempotent semirings DESCRIPTION:Speaker: Kalina Mincheva\, Yale University\n\nWe propose a definition for prime congruences which allows us to define Krull dimension of a semiring as the length of the longest chain of prime congruences. We give a complete description of prime congruences in the polynomial and Laurent polynomial semirings over the tropical semifield … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170425T153000-colleen-robles@math.utah.edu DTSTART;TZID=America/Denver:20170425T153000 DTEND;TZID=America/Denver:20170425T163000 DTSTAMP:20260824T165309Z SUMMARY:Generalizing the Satake-Baily-Borel compactification DESCRIPTION:Speaker: Colleen Robles\, Duke University\n\nThe SBB compactification realizes a locally Hermitian symmetric space as an open, dense subset of a projective algebraic variety. I will discuss a generalization of this construction to obtain a "horizontal completion" (not a compactification) of an arithmetic quotient of a Mumford-Tate domain. The … LOCATION:LCB 219 URL:http://math.utah.edu/agseminar/2017-spring/ END:VEVENT END:VCALENDAR