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 - Spring 2023 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20230127T140000-fellowship-of-the-ring-@230@math.utah.edu DTSTART;TZID=America/Denver:20230127T140000 DTEND;TZID=America/Denver:20230127T150000 DTSTAMP:20260909T180209Z SUMMARY:Matt Mastroeni (Iowa State University) DESCRIPTION:Speaker: Fellowship of the ring @2:30\, Link here\n\nSee [The FoTR Website](https://sites.google.com/d/1BXNovHyh6JsfbudLNxYMtEY6Gi20xtZ6/p/1oFwkbyZfsDNEcmMwY5kQwmJfQ3_uJqtN/edit) LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230203T140000-hanlin-cai@math.utah.edu DTSTART;TZID=America/Denver:20230203T140000 DTEND;TZID=America/Denver:20230203T150000 DTSTAMP:20260909T180209Z SUMMARY:Perfectoid Signature and Perfectoid Hilbert-Kunz Multiplicity DESCRIPTION:Speaker: Hanlin Cai\, University of Utah\n\nIn this talk I'll talk about a (perfectoid) mixed characteristic version of F-signature and Hilbert-Kunz multiplicity by utilizing the perfectoidization functor of Bhatt-Scholze and Faltings' normalized length. These definitions coincide with the classical theory in equal characteristic. We prove … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230217T140000-yotam-svoray@math.utah.edu DTSTART;TZID=America/Denver:20230217T140000 DTEND;TZID=America/Denver:20230217T150000 DTSTAMP:20260909T180209Z SUMMARY:Invariants on non-isolated hypersurface singularities DESCRIPTION:Speaker: Yotam Svoray\, University of Utah\n\nA key tool in understanding (complex analytic) hypersurface singularities is to study what properties are preserved under special deformations. For example, the relationship between the Milnor number of an isolated singularity and the number of A_1 points. In this talk we will discuss the … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230224T140000-eamon-quinlan@math.utah.edu DTSTART;TZID=America/Denver:20230224T140000 DTEND;TZID=America/Denver:20230224T150000 DTSTAMP:20260909T180209Z SUMMARY:F-modules for rings with FFRT DESCRIPTION:Speaker: Eamon Quinlan\, University of Utah\n\nTBA LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230303T140000-fellowship-of-the-ring-@230@math.utah.edu DTSTART;TZID=America/Denver:20230303T140000 DTEND;TZID=America/Denver:20230303T150000 DTSTAMP:20260909T180209Z SUMMARY:Jan Draisma (Universität Bern) DESCRIPTION:Speaker: Fellowship of the ring @2:30\, Link here\n\nTBA LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230317T140000-vaibhav-pandey@math.utah.edu DTSTART;TZID=America/Denver:20230317T140000 DTEND;TZID=America/Denver:20230317T150000 DTSTAMP:20260909T180209Z SUMMARY:Linkage and F-regularity of generic determinantal rings DESCRIPTION:Speaker: Vaibhav Pandey\, Purdue University\n\nWe prove that the generic link of a generic determinantal ring of maximal minors is F-regular. In the process, we strengthen a result of Chardin and Ulrich. Their result says that the generic residual intersections of a complete intersection ring with rational singularities again has rational … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230324T140000-fellowship-of-the-ring-@230@math.utah.edu DTSTART;TZID=America/Denver:20230324T140000 DTEND;TZID=America/Denver:20230324T150000 DTSTAMP:20260909T180209Z SUMMARY:Špela Špenko (Université Libre de Bruxelles) DESCRIPTION:Speaker: Fellowship of the ring @2:30\, Link here\n\nTBA LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230331T140000-florian-enescu@math.utah.edu DTSTART;TZID=America/Denver:20230331T140000 DTEND;TZID=America/Denver:20230331T150000 DTSTAMP:20260909T180209Z SUMMARY:Rational twist with dominant eigenvalue and questions on Hilbert quasi-polynomials DESCRIPTION:Speaker: Florian Enescu\, Georgia State University\n\nIn this talk, we will highlight some classes of affine semigroups rings that have rational twist in positive characteristic. We will then relate this phenomenon to questions on the Hilbert quasi-polynomial and, related to this, the Ehrhart polynomial associated to a certain polytope with integer … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230407T140000-andy-jiang@math.utah.edu DTSTART;TZID=America/Denver:20230407T140000 DTEND;TZID=America/Denver:20230407T150000 DTSTAMP:20260909T180209Z SUMMARY:Grothendieck duality without compactifications DESCRIPTION:Speaker: Andy Jiang\, University of Michigan\n\nI will discuss how a formula for the dualizing complex due to Avramov, Iyengar, Lipman, and Nayak (2010) can be as a foundation for Grothendieck duality for finite tor amplitude maps--generalizing results of Khusyairi (2017) in the flat case. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230412T140000-ray-heitmann@math.utah.edu DTSTART;TZID=America/Denver:20230412T140000 DTEND;TZID=America/Denver:20230412T150000 DTSTAMP:20260909T180209Z SUMMARY:Numbers of generators of perfect ideals DESCRIPTION:Speaker: Ray Heitmann\, UT Austin\n\nThis talk will explore bounds on the number of generators of perfect ideals *J* in regular local rings *(R,m)*. If *J* is sufficiently large modulo *m^n*, a bound is established depending only on *n* and the projective dimension of *R/J*. More ambitious conjectures are also introduced with some … LOCATION:JWB 333 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230421T140000-keller-vandebogert@math.utah.edu DTSTART;TZID=America/Denver:20230421T140000 DTEND;TZID=America/Denver:20230421T150000 DTSTAMP:20260909T180209Z SUMMARY:The Total Rank Conjecture in Characteristic 2 DESCRIPTION:Speaker: Keller VandeBogert\, Notre Dame\n\nThe total rank conjecture is a coarser version of the Buchsbaum-Eisenbud-Horrocks conjecture which, loosely stated, predicts that modules with large annihilators must also have "large" syzygies. In 2017, Walker proved that the total rank conjecture holds over rings of odd characteristic, using … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT BEGIN:VEVENT UID:20230428T140000-fellowship-of-the-ring-@230@math.utah.edu DTSTART;TZID=America/Denver:20230428T140000 DTEND;TZID=America/Denver:20230428T150000 DTSTAMP:20260909T180209Z SUMMARY:Karen Smith (University of Michigan) DESCRIPTION:Speaker: Fellowship of the ring @2:30\, Link here\n\nTBA LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2023-spring/ END:VEVENT END:VCALENDAR