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 2024 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20240112T140000-trevor-arrigoni@math.utah.edu DTSTART;TZID=America/Denver:20240112T140000 DTEND;TZID=America/Denver:20240112T150000 DTSTAMP:20260916T140625Z SUMMARY:F-invariants of simple algebroid plane branches DESCRIPTION:Speaker: Trevor Arrigoni\, University of Kansas\n\nFrobenius thresholds are a family of invariants associated to singularities in positive characteristic. Though originally defined in terms of the splitting properties of Frobenius, Mustaţă, Takagi, and Watanabe showed in 2005 that Frobenius thresholds are closely related to the Bernstein-Sato … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240119T140000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20240119T140000 DTEND;TZID=America/Denver:20240119T150000 DTSTAMP:20260916T140625Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240126T140000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20240126T140000 DTEND;TZID=America/Denver:20240126T150000 DTSTAMP:20260916T140625Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240202T143000-souvik-dey@math.utah.edu DTSTART;TZID=America/Denver:20240202T143000 DTEND;TZID=America/Denver:20240202T153000 DTSTAMP:20260916T140625Z SUMMARY:Finitistic dimension and singularity categories DESCRIPTION:Speaker: Souvik Dey\, Charles University\n\nLet A be a Noetherian ring (not necessarily commutative). When is there a uniform upper bound on the projective dimensions of all (left) A-modules of finite projective dimension? When A is commutative, it follows from the works of Bass and Gruson-Raynaud, that this is the case if and only if A has … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240209T140000-nursel-erey@math.utah.edu DTSTART;TZID=America/Denver:20240209T140000 DTEND;TZID=America/Denver:20240209T150000 DTSTAMP:20260916T140625Z SUMMARY:Regularity and Normalized Depth Function of Squarefree Powers DESCRIPTION:Speaker: Nursel Erey\, Gebze Technical University\n\nLet I be a monomial ideal. The k'th squarefree power of $I$ is the ideal generated by the squarefree monomials in I^k. In this talk, we investigate the regularity and depth function of squarefree powers and consider the question of when such powers have linear resolution. LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240216T140000-hunter-simper@math.utah.edu DTSTART;TZID=America/Denver:20240216T140000 DTEND;TZID=America/Denver:20240216T150000 DTSTAMP:20260916T140625Z SUMMARY:Annihilators of local cohomology of determinantal thickenings DESCRIPTION:Speaker: Hunter Simper\, University of Utah\n\nLet *I* be the maximal minors of generic matrix *X* in *R=\mathbb{C}[X]*. In this talk I will discuss the module structure, in particular that annihilators, of the *R*-modules *H^i_\mathfrac{m}(R/I^t)* and *Ext^i(R/I^t,R)*. LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240223T140000-austyn-simpson@math.utah.edu DTSTART;TZID=America/Denver:20240223T140000 DTEND;TZID=America/Denver:20240223T150000 DTSTAMP:20260916T140625Z SUMMARY:Weakly F-regular rings can be non-catenary DESCRIPTION:Speaker: Austyn Simpson\, University of Michigan\n\nWeakly F-regular rings (i.e. Noetherian rings in which all ideals are tightly closed) are among the mildest singularity types in prime characteristic commutative algebra. They are always normal, and under excellent hypotheses are Cohen-Macaulay. In this talk, I will explain how in the absence of … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240301T140000-daniel-mccormick@math.utah.edu DTSTART;TZID=America/Denver:20240301T140000 DTEND;TZID=America/Denver:20240301T150000 DTSTAMP:20260916T140625Z SUMMARY:Ghost Maps and André-Quillen Homology DESCRIPTION:Speaker: Daniel McCormick\, University of Utah\n\nA map in the derived category is ghost if it induces the zero map on homology. Ghost maps play an important role in understanding the homological behavior of modules. In this talk, we shift our perspective to commutative ring homomorphisms and introduce an analogous class of maps to this setting. … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240308T140000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20240308T140000 DTEND;TZID=America/Denver:20240308T150000 DTSTAMP:20260916T140625Z SUMMARY:Spring Break DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240315T140000-prashanth-sridhar@math.utah.edu DTSTART;TZID=America/Denver:20240315T140000 DTEND;TZID=America/Denver:20240315T150000 DTSTAMP:20260916T140625Z SUMMARY:Orlov's theorem for dg-algebras DESCRIPTION:Speaker: Prashanth Sridhar\, Auburn University\n\nA landmark theorem of Orlov relates the derived category of coherent sheaves on a projective complete intersection to the singularity category of its affine cone. I'll discuss joint work with Michael K. Brown generalizing this result to dg-algebras. LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240322T140000-rankeya-datta@math.utah.edu DTSTART;TZID=America/Denver:20240322T140000 DTEND;TZID=America/Denver:20240322T150000 DTSTAMP:20260916T140625Z SUMMARY:Finite generation of split F-regular monoid algebras DESCRIPTION:Speaker: Rankeya Datta\, University of Missouri\n\nConjectures about the finite generation of various classes of rings in function fields have been instrumental in the development of algebraic geometry and commutative algebra. In this talk we will introduce one such conjecture in prime characteristic using a variant of F-regularity, which is a prime … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240329T140000-aryaman-maithani@math.utah.edu DTSTART;TZID=America/Denver:20240329T140000 DTEND;TZID=America/Denver:20240329T150000 DTSTAMP:20260916T140625Z SUMMARY:Linear quotients of connected ideals of graphs DESCRIPTION:Speaker: Aryaman Maithani\, University of Utah\n\nGiven a graph G, we define the ideal J_t(G) to be the monomial ideal generated by the t-connected subsets of the graph. In this talk, I will discuss some homological and combinatorial properties associated to monomial ideals that are of interest, namely linear resolutions and linear quotients. The … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240405T140000-speaker@math.utah.edu DTSTART;TZID=America/Denver:20240405T140000 DTEND;TZID=America/Denver:20240405T150000 DTSTAMP:20260916T140625Z SUMMARY:No Seminar DESCRIPTION:Speaker: speaker\n\n LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240412T140000-tim-tribone@math.utah.edu DTSTART;TZID=America/Denver:20240412T140000 DTEND;TZID=America/Denver:20240412T150000 DTSTAMP:20260916T140625Z SUMMARY:Matrix factorizations and Knorrer’s Theorem DESCRIPTION:Speaker: Tim Tribone\, University of Utah\n\nA local ring is said to have finite Cohen-Macaulay type if there are only finitely many indecomposable maximal Cohen-Macaulay modules up to isomorphism. The classification of such rings is far from complete; we understand small dimensions and the case of a hypersurface ring, but that is essentially … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240419T140000-tba@math.utah.edu DTSTART;TZID=America/Denver:20240419T140000 DTEND;TZID=America/Denver:20240419T150000 DTSTAMP:20260916T140625Z SUMMARY:TBA DESCRIPTION:Speaker: TBA\, TBA\n\nTBA LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT BEGIN:VEVENT UID:20240426T140000-devlin-mallory@math.utah.edu DTSTART;TZID=America/Denver:20240426T140000 DTEND;TZID=America/Denver:20240426T150000 DTSTAMP:20260916T140625Z SUMMARY:Finite F-representation type for homogeneous coordinate rings DESCRIPTION:Speaker: Devlin Mallory\, University of Utah\n\nFinite F-representation type is an important notion in characteristic-p commutative algebra, and is closely connected to the behavior of differential operators. Despite this, explicit examples of varieties with or without this property are few. We prove that a large class of homogeneous coordinate … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2024-spring/ END:VEVENT END:VCALENDAR