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 2025 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20250819T153000-jos%C3%A9-ignacio-y%C3%A1%C3%B1ez@math.utah.edu DTSTART;TZID=America/Denver:20250819T153000 DTEND;TZID=America/Denver:20250819T163000 DTSTAMP:20260819T205508Z SUMMARY:Calabi-Yau pairs of low complexity DESCRIPTION:Speaker: José Ignacio Yáñez\, UCLA\n\nThe complexity of a Calabi-Yau pair (X,B) is an invariant that relates the dimension of X, the Picard rank of X, and the coefficients of B. It was proven by Brown, McKernan, Svaldi and Zong that the complexity of a Calabi-Yau pair is nonnegative, and a variety X admits a Calabi-Yau pair of … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250827T160000-chenyang-xu@math.utah.edu DTSTART;TZID=America/Denver:20250827T160000 DTEND;TZID=America/Denver:20250827T170000 DTSTAMP:20260819T205508Z SUMMARY:Boundedness of singularities DESCRIPTION:Speaker: Chenyang Xu\, Princeton\n\n(Joint with Ziquan Zhuang) In this lecture, I will explain our boundedness results for klt singularities with normalized volume bounded from below by a positive constant. LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250902T153000-tba@math.utah.edu DTSTART;TZID=America/Denver:20250902T153000 DTEND;TZID=America/Denver:20250902T163000 DTSTAMP:20260819T205508Z SUMMARY:TBA DESCRIPTION:Speaker: TBA\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250909T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20250909T153000 DTEND;TZID=America/Denver:20250909T163000 DTSTAMP:20260819T205508Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250916T153000-daigo-ito@math.utah.edu DTSTART;TZID=America/Denver:20250916T153000 DTEND;TZID=America/Denver:20250916T163000 DTSTAMP:20260819T205508Z SUMMARY:A derived category analogue of the Nakai--Moishezon criterion DESCRIPTION:Speaker: Daigo Ito\, UC Berkeley\n\nIn the study of derived categories of coherent sheaves, ample line bundles play a fundamental role -- their tensor powers generate the derived category. This raises a natural question: does this generation property characterize ampleness? The answer is negative, but we show that this categorical … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250923T153000-yotam-svoray@math.utah.edu DTSTART;TZID=America/Denver:20250923T153000 DTEND;TZID=America/Denver:20250923T163000 DTSTAMP:20260819T205508Z SUMMARY:ADE classification of Hypersurface Singularities over Local Rings DESCRIPTION:Speaker: Yotam Svoray\, University of Utah\n\nThe ADE classification is an important collection of objects that appears in many fields of mathematics. In the context of algebraic geometry and commutative algebra, the ADE classification proved an important collection of hypersurfaces with unique properties, that were classified by Artin, Du Val, … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250930T153000-phil-tosteson@math.utah.edu DTSTART;TZID=America/Denver:20250930T153000 DTEND;TZID=America/Denver:20250930T163000 DTSTAMP:20260819T205508Z SUMMARY:Moduli of curves on del Pezzo surfaces and Manin's conjecture DESCRIPTION:Speaker: Phil Tosteson\, UNC\n\nFor a projective variety X defined over a finite field, the homology of the space of rational curves on X is closely related to the F_q(T) rational points on X. In particular, Manin's conjecture for the asymptotic count of rational points on a Fano variety suggests a corresponding homological … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251007T153000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20251007T153000 DTEND;TZID=America/Denver:20251007T163000 DTSTAMP:20260819T205508Z SUMMARY:Fall Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251014T160000-brian-nugent@math.utah.edu DTSTART;TZID=America/Denver:20251014T160000 DTEND;TZID=America/Denver:20251014T170000 DTSTAMP:20260819T205508Z SUMMARY:Higher Du Bois Pairs DESCRIPTION:Speaker: Brian Nugent\, University of Utah\n\nRational and Du Bois singularities are among the most important classes of singularities in algebraic geometry because of their nice homological properties and their relation to the singularities of the minimal model program. Recently, there has been a lot of progress in studying their higher … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251021T153000-tba@math.utah.edu DTSTART;TZID=America/Denver:20251021T153000 DTEND;TZID=America/Denver:20251021T163000 DTSTAMP:20260819T205508Z SUMMARY:TBA DESCRIPTION:Speaker: TBA\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251028T153000-lisa-marquand@math.utah.edu DTSTART;TZID=America/Denver:20251028T153000 DTEND;TZID=America/Denver:20251028T163000 DTSTAMP:20260819T205508Z SUMMARY:Cubic fourfolds with birational Fano varieties of lines DESCRIPTION:Speaker: Lisa Marquand\, Courant Institute at New York University\n\nCubic fourfolds have been classically studied up to birational equivalence, with an eye towards rationality problems. We will discuss two other notions of equivalence: Fourier-Mukai equivalence, and `hyperkahler equivalence'. We'll discuss how these equivalences are conjecturely related. We will … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251104T153000-lingyao-xie@math.utah.edu DTSTART;TZID=America/Denver:20251104T153000 DTEND;TZID=America/Denver:20251104T163000 DTSTAMP:20260819T205508Z SUMMARY:The extension of numerically trivial divisors on a family. DESCRIPTION:Speaker: Lingyao Xie\, UCSD\n\nFor a projective morphism f: X to S, we explore when it is possible to extend a divisor that is numerically trivial over an open subset to a global relatively num-trivial divisor. In particular, we show that such $L$ always exists after a (weak) semi-stable reduction when $\dim S=1$. On the other … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251111T153000-zach-mere@math.utah.edu DTSTART;TZID=America/Denver:20251111T153000 DTEND;TZID=America/Denver:20251111T163000 DTSTAMP:20260819T205508Z SUMMARY:A change-of-variables formula in motivic integration DESCRIPTION:Speaker: Zach Mere\, University of Utah\n\nKontsevich introduced motivic integration to prove that birationally equivalent complex Calabi-Yau manifolds have the same Hodge numbers. The proof uses a change-of-variables formula which assumes the varieties involved are smooth. In this talk, we'll discuss a generalization of this formula to the … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251118T153000-shikha-bhutani@math.utah.edu DTSTART;TZID=America/Denver:20251118T153000 DTEND;TZID=America/Denver:20251118T163000 DTSTAMP:20260819T205508Z SUMMARY:On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo Type over Imperfect Fields DESCRIPTION:Speaker: Shikha Bhutani\, Michigan State University\n\nVanishing theorems are foundational tools in the Log Minimal Model Program, with the Kawamata-Viehweg Vanishing Theorem being one of the most important. However, these fail in positive characteristics. Fano varieties and their log generalizations are expected to behave better in this setting. In … LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251125T153000-riku-kurama@math.utah.edu DTSTART;TZID=America/Denver:20251125T153000 DTEND;TZID=America/Denver:20251125T163000 DTSTAMP:20260819T205508Z SUMMARY:TBA DESCRIPTION:Speaker: Riku Kurama\, University of Michigan\n\n LOCATION:LCB 323 URL:http://math.utah.edu/agseminar/2025-fall/ END:VEVENT END:VCALENDAR