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 2025 X-WR-CALDESC:Algebraic Geometry Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20250108T140000-bogdan-zavyalov@math.utah.edu DTSTART;TZID=America/Denver:20250108T140000 DTEND;TZID=America/Denver:20250108T150000 DTSTAMP:20260819T205508Z SUMMARY:Almost Coherent Sheaves and Poincaré Duality in p-adic Analytic Geometry DESCRIPTION:Speaker: Bogdan Zavyalov\, Princeton University\n\nIn this work, we study étale cohomology of p-adic rigid-analytic spaces with F_p coefficients. For general (smooth) spaces, this cohomology theory does not behave so well. For example, F_p-cohomology groups of the 1-dimensional closed unit ball are infinite. Nevertheless, Scholze showed that H^i(X, … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250110T140000-h%C3%BClya-arg%C3%BCz@math.utah.edu DTSTART;TZID=America/Denver:20250110T140000 DTEND;TZID=America/Denver:20250110T150000 DTSTAMP:20260819T205508Z SUMMARY:Calculating log Gromov-Witten invariants via scattering DESCRIPTION:Speaker: Hülya Argüz\, University of Georgia\n\nLog Gromov-Witten invariants, introduced by Abramovich-Chen-Gross-Siebert, are counts of curves in pairs (X,D) consisting of a smooth projective variety X together with a normal crossing divisor D, with prescribed tangency conditions along D. These invariants play a key role in mirror symmetry for … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250113T140000-justin-campbell@math.utah.edu DTSTART;TZID=America/Denver:20250113T140000 DTEND;TZID=America/Denver:20250113T150000 DTSTAMP:20260819T205508Z SUMMARY:Deformations of local systems and the geometric Satake equivalence DESCRIPTION:Speaker: Justin Campbell\, University of Chicago\n\nIn this talk, I will discuss my joint work with Sam Raskin on the derived geometric Satake equivalence. As time permits, I will explain how this work has been applied in the proof of the geometric Langlands conjecture and in my work with Hayash. The main point is that when combined with … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250122T140000-claudiu-raicu@math.utah.edu DTSTART;TZID=America/Denver:20250122T140000 DTEND;TZID=America/Denver:20250122T150000 DTSTAMP:20260819T205508Z SUMMARY:Cohomology on the incidence correspondence and related questions DESCRIPTION:Speaker: Claudiu Raicu\, Notre Dame\n\nA fundamental problem at the confluence of algebraic geometry, commutative algebra, and representation theory is to understand the structure and vanishing behavior of the cohomology of line bundles on (partial) flag varieties. I will describe an answer in the case of the incidence correspondence … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250127T140000-pierrick-bousseau@math.utah.edu DTSTART;TZID=America/Denver:20250127T140000 DTEND;TZID=America/Denver:20250127T150000 DTSTAMP:20260819T205508Z SUMMARY:Generalized Block-Göttsche polynomials and Welschinger invariants DESCRIPTION:Speaker: Pierrick Bousseau\, University of Georgia\n\nUsing tropical geometry, Block-Göttsche defined polynomials with the remarkable property to interpolate between Gromov-Witten counts of complex curves and Welschinger counts of real curves in toric del Pezzo surfaces. I will describe a generalization of Block-Göttsche polynomials to arbitrary, … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250225T153000-mark-shoemaker@math.utah.edu DTSTART;TZID=America/Denver:20250225T153000 DTEND;TZID=America/Denver:20250225T163000 DTSTAMP:20260819T205508Z SUMMARY:The Quantum Spectrum and Gamma Structure for Standard Flips DESCRIPTION:Speaker: Mark Shoemaker\, Colorado State University\n\nIn his 1998 ICM talk, Dubrovin conjectured that for a Fano manifold X, the derived category of X possesses a full exceptional collection if and only if the quantum cohomology of X is generically semi-simple, suggesting a deep connection between the derived category of X and its Gromov--Witten … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250317T153000-lei-wu@math.utah.edu DTSTART;TZID=America/Denver:20250317T153000 DTEND;TZID=America/Denver:20250317T163000 DTSTAMP:20260819T205508Z SUMMARY:Geometry of Bernstein-Sato ideals DESCRIPTION:Speaker: Lei Wu\n\nIn studying Mellin transforms of multivariable polynomial maps, Gelfand defined the so-called Archimedean zeta function of a polynomial and conjectured that the archimedean zeta function has an meromorphic continuation on the whole complex plane in 1950s. Bernstein introduced the so-called … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250318T153000-giovanni-inchiostro@math.utah.edu DTSTART;TZID=America/Denver:20250318T153000 DTEND;TZID=America/Denver:20250318T163000 DTSTAMP:20260819T205508Z SUMMARY:Stable maps to quotient stacks with a properly stable point. DESCRIPTION:Speaker: Giovanni Inchiostro\, University of Washington\n\nI will present a compactification of the moduli space of maps from families of curves, to certain moduli spaces M, via the example of M being the GIT moduli space of binary forms of degree 2n. The main application of our results is the construction of certain moduli of fibered log Calabi-Yau pairs. … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250325T150000-joaqu%C3%ADn-moraga@math.utah.edu DTSTART;TZID=America/Denver:20250325T150000 DTEND;TZID=America/Denver:20250325T160000 DTSTAMP:20260819T205508Z SUMMARY:Cluster type varieties DESCRIPTION:Speaker: Joaquín Moraga\, UCLA\n\nIn this talk, we will introduce the concept of cluster type varieties. These are compactifications of an algebraic torus such that the volume form does not have any zeros on the compactification. In the first part of the talk, we will introduce several examples of cluster type varieties. In the … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250401T153000-ben-church@math.utah.edu DTSTART;TZID=America/Denver:20250401T153000 DTEND;TZID=America/Denver:20250401T163000 DTSTAMP:20260819T205508Z SUMMARY:Nowhere vanishing 1-forms on varieties admitting a good minimal model DESCRIPTION:Speaker: Ben Church\, Stanford\n\nA theorem of Popa and Schnell shows that if a smooth projective variety X admits a 1-form with no zeros it cannot be of general type. However, one expects far more stringent constraints on the geometry of those X actually admitting nonvanishing 1-forms. If X is not uniruled and assuming the … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250408T150000-alekos-robotis@math.utah.edu DTSTART;TZID=America/Denver:20250408T150000 DTEND;TZID=America/Denver:20250408T160000 DTSTAMP:20260819T205508Z SUMMARY:The space of augmented stability conditions DESCRIPTION:Speaker: Alekos Robotis\, Cornell\n\nI will survey recent joint work with Daniel Halpern-Leistner which constructs a partial compactification of (a quotient of) the space of Bridgeland stability conditions on a triangulated category. The partial compactification is modular in the sense that its boundary points parameterise a new type … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250422T153000-trevor-jones@math.utah.edu DTSTART;TZID=America/Denver:20250422T153000 DTEND;TZID=America/Denver:20250422T163000 DTSTAMP:20260819T205508Z SUMMARY:Projectivity of the Moduli Space of Equidimensional Branch varieties DESCRIPTION:Speaker: Trevor Jones\, Cornell\n\nA branchvariety of a projective k-scheme X is a geometrically reduced scheme Y equipped with a finite map to X. Alexeev and Knutson showed the existence of a proper moduli space of branchvarieties with fixed Hilbert polynomial and degree sequence, but the projectivity of this space remained an open … LOCATION:LCB 225 URL:http://math.utah.edu/agseminar/2025-spring/ END:VEVENT END:VCALENDAR