BEGIN:VCALENDAR VERSION:2.0 PRODID:-//University of Utah Math Department//Commutative Algebra Seminar//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Commutative Algebra Seminar - Fall 2025 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20250829T140000-nawaj-kc@math.utah.edu DTSTART;TZID=America/Denver:20250829T140000 DTEND;TZID=America/Denver:20250829T150000 DTSTAMP:20260916T113201Z SUMMARY:Modules of finite length and finite projective dimension DESCRIPTION:Speaker: Nawaj KC\, University of Utah\n\nIf R is a local ring of dimension d and x = x_1, ..., x_d is a maximal regular sequence, then R/(x) is an R-module of finite length and finite projective dimension. There exist at least three open questions which stipulate that such quotients of regular sequences are the "simplest" or "smallest" … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250905T140000-mark-walker@math.utah.edu DTSTART;TZID=America/Denver:20250905T140000 DTEND;TZID=America/Denver:20250905T150000 DTSTAMP:20260916T113201Z SUMMARY:Deformations and the homotopy Lie algebra of a local ring DESCRIPTION:Speaker: Mark Walker\, U. Nebraska\n\nI discuss joint work with Briggs, Grifo, and Pollitz, in which we investigate a question due to Avramov: Does every central element of degree two in the homotopy Lie algebra of a local ring come from an embedded deformation? I'll define the terms appearing in this question and answer it. (Spoiler … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250919T140000-jj-garzella@math.utah.edu DTSTART;TZID=America/Denver:20250919T140000 DTEND;TZID=America/Denver:20250919T150000 DTSTAMP:20260916T113201Z SUMMARY:On a Berkovich-type nullstellensatz for perfectoid Tate algebras DESCRIPTION:Speaker: JJ Garzella\, UCSD\n\nWe will survey some recent results about a class of rings called *perfectoid Tate algebras*. These rings do not satisfy Hilbert's nullstellensatz, as shown by Gleason. We suggest an alternative, based on the theory of Berkovich spaces. We conclude by showing our statement in the case of two … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20250926T140000-manav-batavia@math.utah.edu DTSTART;TZID=America/Denver:20250926T140000 DTEND;TZID=America/Denver:20250926T150000 DTSTAMP:20260916T113201Z SUMMARY:The arithmetic rank of residual intersections of a complete intersection ideal DESCRIPTION:Speaker: Manav Batavia\, Purdue University\n\nThe arithmetic rank of a variety is the minimal number of equations needed to define it set-theoretically, i.e., the smallest number of polynomials generating the defining ideal upto radical. Computing this invariant is notoriously difficult: the minimal generators up to radical often bear little … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251003T140000-desiree-laurel-martin@math.utah.edu DTSTART;TZID=America/Denver:20251003T140000 DTEND;TZID=America/Denver:20251003T150000 DTSTAMP:20260916T113201Z SUMMARY:Implications of a Free Conormal Module DESCRIPTION:Speaker: Desiree Laurel Martin\, Sryacuse University\n\nIn this talk we discuss the existence of a splitting morphism between \(\text{Tor}^{R}_{*}(R/I,R/I)\) and the exterior algebra of the conormal module \(\bigwedge I/I^2\) using properties of differential graded algebras. If time permits, we will chat about some interesting examples. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251017T140000-prashanth-sridhar@math.utah.edu DTSTART;TZID=America/Denver:20251017T140000 DTEND;TZID=America/Denver:20251017T150000 DTSTAMP:20260916T113201Z SUMMARY:Reconstruction results for projective varieties DESCRIPTION:Speaker: Prashanth Sridhar\, U. Alabama\n\nIn this talk, I'll discuss novel reconstruction results for projective varieties using differential graded sheaves. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251024T140000-vijaylaxmi-trivedi@math.utah.edu DTSTART;TZID=America/Denver:20251024T140000 DTEND;TZID=America/Denver:20251024T150000 DTSTAMP:20260916T113201Z SUMMARY:Density functions for families of graded ideals. DESCRIPTION:Speaker: Vijaylaxmi Trivedi\, SUNY Buffalo\n\nIn the first part of the talk we discuss Hilbert-Kunz density function and its applications for positive characteristic invariants, namely Hilbert-Kunz multiplicities and \(F\)-thresholds. Next, based on a joint work with Suprajo Das and Sudeshna Roy, we introduce the *adic* and *saturated* density … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251031T140000-paul-balmer@math.utah.edu DTSTART;TZID=America/Denver:20251031T140000 DTEND;TZID=America/Denver:20251031T150000 DTSTAMP:20260916T113201Z SUMMARY:Completion in tensor-triangular geometry DESCRIPTION:Speaker: Paul Balmer\, UCLA\n\nThis is joint work with Beren Sanders (UCSC). Inspired by work of Benson-Iyengar-Krause-Pevtsova, we show how the perfect complexes over the completion of a reasonable commutative ring along an ideal can be obtained from the derived category of the ring, using an abstract tensor-triangular … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251114T140000-maria-akter@math.utah.edu DTSTART;TZID=America/Denver:20251114T140000 DTEND;TZID=America/Denver:20251114T150000 DTSTAMP:20260916T113201Z SUMMARY:m -adic Continuity of Frobenius Splitting Ratio DESCRIPTION:Speaker: Maria Akter\, University of Alabama\n\nThe study of singularities under perturbation is classical, with origins dating back to the 50's and 60's through the work of Samuel and Hironaka. In this talk, we introduce the theory of *F*-singularities in prime characteristic rings and examine continuity problems in relation to perturbation … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251121T140000-yairon-cid-ruiz@math.utah.edu DTSTART;TZID=America/Denver:20251121T140000 DTEND;TZID=America/Denver:20251121T150000 DTSTAMP:20260916T113201Z SUMMARY:Mixed Segre zeta functions and their log-concavity DESCRIPTION:Speaker: Yairon Cid-Ruiz\, North Carolina State University\n\nIn this talk, we introduce the mixed Segre zeta function associated with a sequence of homogeneous ideals in a polynomial ring. This power series encodes information about the mixed Segre classes that arise when the ideals are extended to projective spaces of arbitrarily large dimension. Our … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251128T140000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20251128T140000 DTEND;TZID=America/Denver:20251128T150000 DTSTAMP:20260916T113201Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT BEGIN:VEVENT UID:20251205T140000-tba@math.utah.edu DTSTART;TZID=America/Denver:20251205T140000 DTEND;TZID=America/Denver:20251205T150000 DTSTAMP:20260916T113201Z SUMMARY:TBA DESCRIPTION:Speaker: TBA\n\nTBA LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-fall/ END:VEVENT END:VCALENDAR