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 2024 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20240820T153000-jos%C3%A9-ignacio-y%C3%A1%C3%B1ez@math.utah.edu DTSTART;TZID=America/Denver:20240820T153000 DTEND;TZID=America/Denver:20240820T163000 DTSTAMP:20260819T205508Z SUMMARY:Polarized endomorphism of log Calabi-Yau pairs DESCRIPTION:Speaker: José Ignacio Yáñez\, UCLA\n\nAn endomorphism on a normal projective variety X is said to be polarized if the pullback of an ample divisor A is linearly equivalent to a qA, for some integer q>1. Examples of these endomorphisms are naturally found in toric varieties and abelian varieties. Indeed, it is conjectured that if X … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20240827T153000-suchitra-pande@math.utah.edu DTSTART;TZID=America/Denver:20240827T153000 DTEND;TZID=America/Denver:20240827T163000 DTSTAMP:20260819T205508Z SUMMARY:Positivity of the Limit F-signature DESCRIPTION:Speaker: Suchitra Pande\, University of Utah\n\nThe F-signature of a local singularity is an invariant in positive characteristics that measures the asymptotic properties of the Frobenius map. It can be used to detect regularity, strong F-regularity and other finiteness properties in positive characteristics. Thus, the F-signature seems to play a … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20240903T153000-y.p.-lee@math.utah.edu DTSTART;TZID=America/Denver:20240903T153000 DTEND;TZID=America/Denver:20240903T163000 DTSTAMP:20260819T205508Z SUMMARY:Quantum K-theory DESCRIPTION:Speaker: Y.P. Lee\, Academia Sinica\n\nA lot of moduli spaces have the property that they are locally cut out by zeros of a section of a vector bundle over smooth spaces. These moduli spaces could be highly singular, but possess certain properties called quasi-smoothness. Using this, one can define on the moduli "virtual structure … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20240917T153000-adrian-langer@math.utah.edu DTSTART;TZID=America/Denver:20240917T153000 DTEND;TZID=America/Denver:20240917T163000 DTSTAMP:20260819T205508Z SUMMARY:Projective contact log varieties DESCRIPTION:Speaker: Adrian Langer\, University of Warsaw\n\nContact manifolds are odd-dimensional analogues of symplectic manifolds. The main aim of this talk is to present some structural results on contact structures on smooth complex projective log varieties. I will generalize a few standard results on rational curves on smooth projective varieties to the … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20240924T153000-adrian-langer@math.utah.edu DTSTART;TZID=America/Denver:20240924T153000 DTEND;TZID=America/Denver:20240924T163000 DTSTAMP:20260819T205508Z SUMMARY:Simpson's correspondence in positive characteristic DESCRIPTION:Speaker: Adrian Langer\, University of Warsaw\n\nI plan to survey some results on the analogues of Simpson's correspondence for varieties defined over an algebraically closed field of positive characteristic. Special attention will be given to quasi-projective varieties, where our study leads to some interesting problems concerning standard … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241015T153000-louis-esser@math.utah.edu DTSTART;TZID=America/Denver:20241015T153000 DTEND;TZID=America/Denver:20241015T163000 DTSTAMP:20260819T205508Z SUMMARY:Hypersurfaces with large automorphism groups DESCRIPTION:Speaker: Louis Esser\, Princeton University\n\nA smooth hypersurface of dimension n and degree d in complex projective space always has finite automorphism group when the degree d is at least 3, unless (n,d) = (1,3) or (2,4). Moreover, for each fixed pair (n,d), there is a finite upper bound on the order |Aut(X)|. Previously, this bound was only … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241022T153000-mircea-musta%C5%A3%C4%83@math.utah.edu DTSTART;TZID=America/Denver:20241022T153000 DTEND;TZID=America/Denver:20241022T163000 DTSTAMP:20260819T205508Z SUMMARY:Towards a birational description of the minimal exponent DESCRIPTION:Speaker: Mircea Mustaţă\, University of Michigan\n\nThe minimal exponent of a hypersurface is an invariant of singularities introduced by Morihiko Saito via D-module theory, which refines the log canonical threshold. I will give an introduction to this invariant and then I will present some work in progress with Qianyu Chen in the direction of a … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241029T153000-sarah-frei@math.utah.edu DTSTART;TZID=America/Denver:20241029T153000 DTEND;TZID=America/Denver:20241029T163000 DTSTAMP:20260819T205508Z SUMMARY:Relative Severi-Brauer varieties on K3 surfaces DESCRIPTION:Speaker: Sarah Frei\, Dartmouth College\n\nGeometric realizations (as etale projective bundles) of Brauer classes on surfaces have many applications, such as the arithmetic of surfaces over non-closed fields and rationality of fourfolds (even over the complex numbers). In this talk, I will discuss joint work with Jack Petok and Anthony … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241105T153000-courtney-george@math.utah.edu DTSTART;TZID=America/Denver:20241105T153000 DTEND;TZID=America/Denver:20241105T163000 DTSTAMP:20260819T205508Z SUMMARY:Toric Vector Bundles as Mori Dream Spaces DESCRIPTION:Speaker: Courtney George\, University of California, Riverside\n\nMori dream spaces, named for their ideal behavior in the Minimal Model Program, are (for the sake of this talk) projective, normal varieties with finitely-generated Cox rings. While there has been much progress in the identification of Mori dream spaces, no complete classification yet exists. Due to … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241119T153000-pierrick-bousseau@math.utah.edu DTSTART;TZID=America/Denver:20241119T153000 DTEND;TZID=America/Denver:20241119T163000 DTSTAMP:20260819T205508Z SUMMARY:The KSBA moduli space of stable log Calabi-Yau surfaces DESCRIPTION:Speaker: Pierrick Bousseau\, University of Georgia\n\nAbstract: The KSBA moduli space of stable pairs (X,B), introduced by Kollár--Shepherd-Barron, and Alexeev, is a natural generalization of the moduli space of stable curves for higher dimensional varieties. This moduli space is described concretely only in a handful of situations. For instance, if X … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT BEGIN:VEVENT UID:20241203T153000-morena-porzio@math.utah.edu DTSTART;TZID=America/Denver:20241203T153000 DTEND;TZID=America/Denver:20241203T163000 DTSTAMP:20260819T205508Z SUMMARY:On the stable birationality of Hilbert schemes of points on surfaces DESCRIPTION:Speaker: Morena Porzio\, Columbia University\n\nIn this talk, we will address the question for which pairs of integers (n,n') the variety Hilb^n_X is stably birational to Hilb^n'_X, when X is a surface with H^1(X,O_X)=0. In order to do so we will relate the existence of degree n' effective cycles on X with the existence of degree n ones using … LOCATION:LCB 222 URL:http://math.utah.edu/agseminar/2024-fall/ END:VEVENT END:VCALENDAR