BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Christine Berkesch (University of Minnesota) DTSTART:20200425T150000Z DTEND:20200425T160000Z DTSTAMP:20260422T212925Z UID:cazoom/1 DESCRIPTION:Title: O n the parametric variation of solution spaces of A-hypergeometric systems< /a>\nby Christine Berkesch (University of Minnesota) as part of CAZoom\n\n \nAbstract\nAn A-hypergeometric system is the D-module variant of a toric ideal\, and it depends on a complex parameter vector. We will discuss how the behavior of the solution space of the system changes as this parameter varies\, which will include joint work with R. Barrera\, M.C. Fernández- Fernández\, J. Forsgård\, and L. Matusevich.\n LOCATION:https://researchseminars.org/talk/cazoom/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Jenny Kenkel (University of Kentucky) DTSTART:20200425T160000Z DTEND:20200425T170000Z DTSTAMP:20260422T212925Z UID:cazoom/2 DESCRIPTION:Title: L ocal Cohomology of Thickenings on Sequences of Rings\nby Jenny Kenkel (University of Kentucky) as part of CAZoom\n\n\nAbstract\nLet $R$ be a sta ndard graded polynomial ring and let $I$ be a homogenous prime ideal of \n $R$. Bhatt\, Blickle\, Lyubeznik\, Singh\, and Zhang examined the local co homology of $R/I^t$\nas $t$ grows arbitrarily large. I will discuss their results and give an explicit description of the transition maps between th ese local cohomology modules in a particular example. I will also consider asymptotic structure in a different direction: as the number of variables of \n$R$ grows. This study of families of modules over compatible varyin g rings hints at the existence of FI structures.\n LOCATION:https://researchseminars.org/talk/cazoom/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Keller VandeBogert (University of South Carolina) DTSTART:20200425T180000Z DTEND:20200425T190000Z DTSTAMP:20260422T212925Z UID:cazoom/3 DESCRIPTION:Title: T rimming Complexes and Applications to Resolutions of Certain Ideals\nb y Keller VandeBogert (University of South Carolina) as part of CAZoom\n\n\ nAbstract\nIn this talk we will introduce trimming complexes and explore a pplications to resolutions of a variety of ideals. We will deduce some str ucture theory for certain classes of grade 3 homogeneous ideals defining c ompressed rings\, which can be used to construct ideals of arbitrarily lar ge type with Tor-algebra class G. Moreover\, we are able to produce explic it Betti tables for a subfamily of so-called determinantal facet ideals.\n LOCATION:https://researchseminars.org/talk/cazoom/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Adam Boocher (University of San Diego) DTSTART:20200425T190000Z DTEND:20200425T200000Z DTSTAMP:20260422T212925Z UID:cazoom/4 DESCRIPTION:Title: L arge Lower Bounds for Betti Numbers of Graded Modules\nby Adam Boocher (University of San Diego) as part of CAZoom\n\n\nAbstract\nLet $M$ be a f initely-generated graded module over a polynomial ring. I'll discuss the s tate of the art concerning lower bounds for the betti numbers of $M$ inclu ding recent results that give large lower bounds for the first half of the betti numbers in many cases of interest.\n LOCATION:https://researchseminars.org/talk/cazoom/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Jenna Rajchgot (University of Saskatchewan) DTSTART:20200426T150000Z DTEND:20200426T160000Z DTSTAMP:20260422T212925Z UID:cazoom/5 DESCRIPTION:Title: G eometric vertex decomposition and liaison\nby Jenna Rajchgot (Universi ty of Saskatchewan) as part of CAZoom\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/cazoom/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Monica Lewis (University of Michigan) DTSTART:20200426T160000Z DTEND:20200426T170000Z DTSTAMP:20260422T212925Z UID:cazoom/6 DESCRIPTION:Title: T he Fedder action and a simplicial complex of local cohomologies\nby Mo nica Lewis (University of Michigan) as part of CAZoom\n\n\nAbstract\nWhen $S$ is a ring of prime characteristic $p$ > 0\, the local cohomology of $S $ carries a natural Frobenius structure. If $S$ is regular\, we have acces s to Lyubeznik's powerful theory of F-modules. We lose this if $S$ is sing ular\, but retain the notion of Frobenius actions. In this talk\, we will present recent joint work with Eric Canton on some advantages to using a n on-standard Frobenius action\, defined when $S$ is a complete intersection ring\, and will discuss applications to questions about finiteness proper ties.\n LOCATION:https://researchseminars.org/talk/cazoom/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Kevin Tucker (University of Illinois\, Chicago) DTSTART:20200426T180000Z DTEND:20200426T190000Z DTSTAMP:20260422T212925Z UID:cazoom/7 DESCRIPTION:Title: O n some permanence properties of (derived) splinters\nby Kevin Tucker ( University of Illinois\, Chicago) as part of CAZoom\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/cazoom/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Rebecca R.G. (George Mason University) DTSTART:20200426T190000Z DTEND:20200426T200000Z DTSTAMP:20260422T212925Z UID:cazoom/8 DESCRIPTION:Title: T est ideals\, Cohen-Macaulay modules\, and singularities of commutative rin gs\nby Rebecca R.G. (George Mason University) as part of CAZoom\n\n\nA bstract\nIn this talk I will describe how the related notions of closure o perations\, test ideals\, interior operations\, and trace ideals\, with th e help of Cohen-Macaulay modules (both big and small)\, can be applied to the study of singularities of commutative rings. I will explain some of th e theory connecting these ideas and give a number of computed examples.\n LOCATION:https://researchseminars.org/talk/cazoom/8/ END:VEVENT END:VCALENDAR