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 2025 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20250110T140000-h%C3%BClya-arg%C3%BCz@math.utah.edu DTSTART;TZID=America/Denver:20250110T140000 DTEND;TZID=America/Denver:20250110T150000 DTSTAMP:20260916T140625Z 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 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250122T140000-claudiu-raicu@math.utah.edu DTSTART;TZID=America/Denver:20250122T140000 DTEND;TZID=America/Denver:20250122T150000 DTSTAMP:20260916T140625Z SUMMARY:Cohomology on the incidence correspondence and related questions DESCRIPTION:Speaker: Claudiu Raicu\, University of 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 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250124T140000-wan-chen@math.utah.edu DTSTART;TZID=America/Denver:20250124T140000 DTEND;TZID=America/Denver:20250124T150000 DTSTAMP:20260916T140625Z SUMMARY:Some Examples of the Relative Langlands Duality DESCRIPTION:Speaker: Wan Chen\, Rutgers Newark\n\nIn this talk, I will discuss some examples of the relative Langlands duality (introduced by Ben-Zvi-Sakellaridis-Venkatesh) for strongly tempered spherical varieties. In some cases, I will introduce a relative trace formula comparison and prove the fundamental lemma/smooth transfer. This is a joint … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250131T140000-david-schwein@math.utah.edu DTSTART;TZID=America/Denver:20250131T140000 DTEND;TZID=America/Denver:20250131T150000 DTSTAMP:20260916T140625Z SUMMARY:New supercuspidal representations from the Weil representation in characteristic two DESCRIPTION:Speaker: David Schwein\, University of Bonn\n\nSupercuspidal representations are the mysterious "elementary particles" from which all other representations of a reductive p-adic group are built. Residue characteristic two presents additional difficulties in the construction of these representations, and even for classical groups, our knowledge … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250207T140000-aryaman-maithani@math.utah.edu DTSTART;TZID=America/Denver:20250207T140000 DTEND;TZID=America/Denver:20250207T150000 DTSTAMP:20260916T140625Z SUMMARY:Polynomial invariants of GL2: Conjugation over finite fields DESCRIPTION:Speaker: Aryaman Maithani\, University of Utah\n\nConsider the conjugation action of GL_2(K) on the polynomial ring K[X]. When K is an infinite field, the ring of invariants is a polynomial ring generated by the trace and the determinant. We describe the ring of invariants when K is a finite field, and show that it is a hypersurface. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250321T140000-janina-letz@math.utah.edu DTSTART;TZID=America/Denver:20250321T140000 DTEND;TZID=America/Denver:20250321T150000 DTSTAMP:20260916T140625Z SUMMARY:Generation time for tensor products and Koszul objects in triangulated categories DESCRIPTION:Speaker: Janina Letz\, Bielefeld\n\nThe derived category of modules over a commutative ring captures many properties of the ring. One approach is to study its triangulated structure through finite building. An object $X$ finitely builds an object $Y$, if $Y$ can be obtained from $X$ by taking cones, suspensions and retracts. The … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250328T140000-henning-krause@math.utah.edu DTSTART;TZID=America/Denver:20250328T140000 DTEND;TZID=America/Denver:20250328T150000 DTSTAMP:20260916T140625Z SUMMARY:Matlis reflexivity revisited DESCRIPTION:Speaker: Henning Krause\, Bielefeld\n\nMatlis duality for modules over commutative rings gives rise to the notion of Matlis reflexivity. In my talk I will discuss basic properties, adding some new perspectives on a classical subject. For instance, I'll explain that Matlis reflexive modules form a Krull-Schmidt category. For noetherian … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250328T140000-julia-pevtsova@math.utah.edu DTSTART;TZID=America/Denver:20250328T140000 DTEND;TZID=America/Denver:20250328T150000 DTSTAMP:20260916T140625Z SUMMARY:Fiber functors in Tensor triangular geometry DESCRIPTION:Speaker: Julia Pevtsova\, University of Washington\n\nTT geometry associates a geometric invariant - the Spectrum - to a tensor triangulated category. This invariant carries a lot of global structure information about the category; but the calculations are usually difficult. I'll describe “the fiber functor” technique which proved to be successful for … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250404T140000-nawaj-kc@math.utah.edu DTSTART;TZID=America/Denver:20250404T140000 DTEND;TZID=America/Denver:20250404T150000 DTSTAMP:20260916T140625Z SUMMARY:On liftings of modules of finite projective dimension DESCRIPTION:Speaker: Nawaj KC\, University of Nebraska-Lincoln\n\nSuppose R -> S is a surjective map of local Noetherian rings. In this talk I will discuss a notion of lifting S-modules to R-modules along this map. Classically, we say an S-module M lifts to an R-module M' if M' is isomorphic to M upon extending scalars via R -> S, and Tor_i(M', R) = 0 for i > 0. … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250411T140000-ben-antieau@math.utah.edu DTSTART;TZID=America/Denver:20250411T140000 DTEND;TZID=America/Denver:20250411T150000 DTSTAMP:20260916T140625Z SUMMARY:The Beilinson t-structure, décalage, and spectral sequences DESCRIPTION:Speaker: Ben Antieau\, Northwestern\n\nI will describe a new construction of the spectral sequence of a filtration which makes transparent certain properties like multiplicativity. The construction uses an old t-structure on filtered complexes, the Beilinson t-structure, which I will explain in detail. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250418T140000-saeed-nasseh@math.utah.edu DTSTART;TZID=America/Denver:20250418T140000 DTEND;TZID=America/Denver:20250418T150000 DTSTAMP:20260916T140625Z SUMMARY:Connections and lifting theory of DG modules DESCRIPTION:Speaker: Saeed Nasseh\, Georgia Southern\n\nLifting theory was studied by Auslander, Ding, and Solberg for modules and by Yoshino for complexes. Further progress on this theory has been made recently (in the works of Nasseh, Ono, Sather-Wagstaff, and Yoshino) in the context of differential graded (DG) modules in order to obtain a clearer … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT BEGIN:VEVENT UID:20250425T140000-tba@math.utah.edu DTSTART;TZID=America/Denver:20250425T140000 DTEND;TZID=America/Denver:20250425T150000 DTSTAMP:20260916T140625Z SUMMARY:TBA DESCRIPTION:Speaker: TBA\n\nTBA LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2025-spring/ END:VEVENT END:VCALENDAR