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 2023 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20230124T150000-jakub-witaszek@math.utah.edu DTSTART;TZID=America/Denver:20230124T150000 DTEND;TZID=America/Denver:20230124T160000 DTSTAMP:20260819T205508Z SUMMARY:Quasi-F-splittings Note the unusual time! DESCRIPTION:Speaker: Jakub Witaszek\, Princeton University\n\nWhat allowed for many developments in algebraic geometry (especially birational geometry) and commutative algebra was a discovery of the notion of a Frobenius splitting. Recently, Yobuko introduced a more general concept, a quasi-F-splitting, which captures more refined arithmetic invariants related … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230131T153000-quentin-posva@math.utah.edu DTSTART;TZID=America/Denver:20230131T153000 DTEND;TZID=America/Denver:20230131T163000 DTSTAMP:20260819T205508Z SUMMARY:On the moduli space of stable surfaces in positive characteristic DESCRIPTION:Speaker: Quentin Posva\, University of Utah\n\nStable varieties are higher dimensional analogues of stable curves. In characteristic zero, it is known that their moduli space is a projective variety. However, this is not known yet in positive characteristic. In this talk, I will first survey recent results about stable surfaces in positive … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230207T163000-takumi-murayama@math.utah.edu DTSTART;TZID=America/Denver:20230207T163000 DTEND;TZID=America/Denver:20230207T173000 DTSTAMP:20260819T205508Z SUMMARY:Pure subrings of Du Bois singularities are Du Bois singularities Note the unusual time! DESCRIPTION:Speaker: Takumi Murayama\, Purdue University\n\nLet \(R \rightarrow S\) be a pure map of rings. If \(S\) is regular, then it is known that \(R\) has rational singularities, and hence is Cohen-Macaulay. This result applies in particular to inclusions of rings of invariants by linearly reductive groups, split maps, and faithfully flat maps. In this … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230214T153000-javier-gonz%C3%A1lez-anaya@math.utah.edu DTSTART;TZID=America/Denver:20230214T153000 DTEND;TZID=America/Denver:20230214T163000 DTSTAMP:20260819T205508Z SUMMARY:Blow-ups of weighted projective planes at a point: Exploring the parameter space of triangles and the MDS property DESCRIPTION:Speaker: Javier González Anaya\, UC Riverside\n\nWe discuss the Mori dream space (MDS) property for blow-ups of toric surfaces defined by rational plane triangles at a general point. We consider a parameter space of all such triangles and show how it can be used to prove the MDS property for these varieties. Furthermore, this parameter space helps … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230221T153000-roya-beheshti@math.utah.edu DTSTART;TZID=America/Denver:20230221T153000 DTEND;TZID=America/Denver:20230221T163000 DTSTAMP:20260819T205508Z SUMMARY:Restrictions on rational surfaces contained in general hypersurfaces DESCRIPTION:Speaker: Roya Beheshti\, Washington University\n\nI will talk about moduli spaces of rational curves on Fano hypersurfaces and discuss questions regarding when these moduli spaces are uniruled or do not contain many rational curves. One motivation for the study of these types of questions comes from the question of when Fano hypersurfaces are swept … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230228T163000-tatsuro-kawakami@math.utah.edu DTSTART;TZID=America/Denver:20230228T163000 DTEND;TZID=America/Denver:20230228T173000 DTSTAMP:20260819T205508Z SUMMARY:Extendability of differential forms via Cartier operators Note the unusual time! DESCRIPTION:Speaker: Tatsuro Kawakami\, Kyoto University\n\nFor a normal variety \(X\), we say \(X\) satisfies the extension theorem if, for every proper birational morphism from \(Y\), every differential form on the regular locus of \(X\) extends to \(Y\). This is a basic property relating differential forms and singularities, and many results are known … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230314T153000-emily-clader@math.utah.edu DTSTART;TZID=America/Denver:20230314T153000 DTEND;TZID=America/Denver:20230314T163000 DTSTAMP:20260819T205508Z SUMMARY:Permutohedral Complexes and Curves With Cyclic Action Rescheduled due to Atmospheric River DESCRIPTION:Speaker: Emily Clader\, San Francisco State\n\nThere is a beautiful combinatorial and geometric story connecting a polytope known as the permutohedron, the algebra of the symmetric group, and the geometry of a particular moduli space of curves first studied by Losev and Manin. I will describe these three worlds and their connection to one … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230321T153000-christopher-chiu@math.utah.edu DTSTART;TZID=America/Denver:20230321T153000 DTEND;TZID=America/Denver:20230321T163000 DTSTAMP:20260819T205508Z SUMMARY:Isosingularity of algebraic varieties DESCRIPTION:Speaker: Christopher Chiu\, TU Eindhoven\n\nIn this talk we will consider the formal-local singularity type of points on an algebraic variety X. Extending work of Ephraim and Hauser-Mueller, we show that the subset of points with a fixed singularity type is locally closed in the Zariski topology; and the associated reduced subscheme, called … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230406T150000-charles-favre@math.utah.edu DTSTART;TZID=America/Denver:20230406T150000 DTEND;TZID=America/Denver:20230406T160000 DTSTAMP:20260819T205508Z SUMMARY:Pseudo-automorphisms on families of abelian varieties Note the unusual date and location! DESCRIPTION:Speaker: Charles Favre\, École Polytechnique\n\nWe look at a family over the punctured disk of polarized abelian varieties endowed with an automorphism and to ask whether we can complete the central fiber so that the map remains an automorphism. LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230411T153000-jennifer-li@math.utah.edu DTSTART;TZID=America/Denver:20230411T153000 DTEND;TZID=America/Denver:20230411T163000 DTSTAMP:20260819T205508Z SUMMARY:On the cone conjecture for log Calabi-Yau threefolds DESCRIPTION:Speaker: Jennifer Li\, Princeton University\n\nLet \((Y, D)\) be a log Calabi-Yau threefold, meaning that \(Y\) is a smooth projective threefold over \(\mathbb{C}\) and \(D \subset Y\) is a normal crossing divisor such that \(K_{Y}+D\) is trivial. Moreover, suppose that \(D\) is maximal, meaning there exists a \(0\)-stratum of \(D\). Suppose … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230418T153000-emily-clader@math.utah.edu DTSTART;TZID=America/Denver:20230418T153000 DTEND;TZID=America/Denver:20230418T163000 DTSTAMP:20260819T205508Z SUMMARY:Permutohedral Complexes and Curves With Cyclic Action DESCRIPTION:Speaker: Emily Clader\, San Francisco State\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230425T150000-kelly-jabbusch@math.utah.edu DTSTART;TZID=America/Denver:20230425T150000 DTEND;TZID=America/Denver:20230425T160000 DTSTAMP:20260819T205508Z SUMMARY:The minimal projective bundle dimension and toric 2-Fano manifolds Note the unusual time! DESCRIPTION:Speaker: Kelly Jabbusch\, University of Michigan - Dearborn\n\nIn this talk we will discuss higher Fano manifolds, which are Fano manifolds with positive higher Chern characters. In particular we will focus on toric 2-Fano manifolds. Motivated by the problem of classifying toric 2-Fano manifolds, we will introduce a new invariant for smooth projective toric … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230502T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20230502T153000 DTEND;TZID=America/Denver:20230502T163000 DTSTAMP:20260819T205508Z SUMMARY:D-modules, motivic integrals and hypersurface singularities DESCRIPTION:Speaker: Lei Wu\, Zhejiang University\n\nThis talk is an invitation to the study of monodromy conjecture for hypersurfaces in complex affine spaces. I will recall two different ways to understand singularities of hypersurfaces in complex affine spaces. The first one is to use D-modules to define the b-function (also known as the … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2023-spring/ END:VEVENT END:VCALENDAR