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PRODID:researchseminars.org
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BEGIN:VEVENT
SUMMARY:Christine Berkesch (University of Minnesota)
DTSTART:20200425T150000Z
DTEND:20200425T160000Z
DTSTAMP:20260404T094542Z
UID:cazoom/1
DESCRIPTION:Title: On the parametric variation of solution spaces of A-hypergeometric s
ystems\nby Christine Berkesch (University of Minnesota) as part of CAZ
oom\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 discu
ss how the behavior of the solution space of the system changes as this pa
rameter varies\, which will include joint work with R. Barrera\, M.C. Fern
ández-Fernández\, J. Forsgård\, and L. Matusevich.\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jenny Kenkel (University of Kentucky)
DTSTART:20200425T160000Z
DTEND:20200425T170000Z
DTSTAMP:20260404T094542Z
UID:cazoom/2
DESCRIPTION:Title: Local Cohomology of Thickenings on Sequences of Rings\nby Jenny
Kenkel (University of Kentucky) as part of CAZoom\n\n\nAbstract\nLet $R$ b
e a standard graded polynomial ring and let $I$ be a homogenous prime idea
l of \n$R$. Bhatt\, Blickle\, Lyubeznik\, Singh\, and Zhang examined the l
ocal cohomology of $R/I^t$\nas $t$ grows arbitrarily large. I will discuss
their results and give an explicit description of the transition maps bet
ween these local cohomology modules in a particular example. I will also c
onsider asymptotic structure in a different direction: as the number of va
riables of \n$R$ grows. This study of families of modules over compatible
varying rings hints at the existence of FI structures.\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Keller VandeBogert (University of South Carolina)
DTSTART:20200425T180000Z
DTEND:20200425T190000Z
DTSTAMP:20260404T094542Z
UID:cazoom/3
DESCRIPTION:Title: Trimming Complexes and Applications to Resolutions of Certain Ideals
\nby Keller VandeBogert (University of South Carolina) as part of CAZo
om\n\n\nAbstract\nIn this talk we will introduce trimming complexes and ex
plore applications to resolutions of a variety of ideals. We will deduce s
ome structure theory for certain classes of grade 3 homogeneous ideals def
ining compressed rings\, which can be used to construct ideals of arbitrar
ily large type with Tor-algebra class G. Moreover\, we are able to produce
explicit Betti tables for a subfamily of so-called determinantal facet id
eals.\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Boocher (University of San Diego)
DTSTART:20200425T190000Z
DTEND:20200425T200000Z
DTSTAMP:20260404T094542Z
UID:cazoom/4
DESCRIPTION:Title: Large 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 finitely-generated graded module over a polynomial ring. I'll discus
s the state of the art concerning lower bounds for the betti numbers of $M
$ including recent results that give large lower bounds for the first half
of the betti numbers in many cases of interest.\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jenna Rajchgot (University of Saskatchewan)
DTSTART:20200426T150000Z
DTEND:20200426T160000Z
DTSTAMP:20260404T094542Z
UID:cazoom/5
DESCRIPTION:Title: Geometric vertex decomposition and liaison\nby Jenna Rajchgot (U
niversity of Saskatchewan) as part of CAZoom\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Monica Lewis (University of Michigan)
DTSTART:20200426T160000Z
DTEND:20200426T170000Z
DTSTAMP:20260404T094542Z
UID:cazoom/6
DESCRIPTION:Title: The Fedder action and a simplicial complex of local cohomologies
\nby Monica Lewis (University of Michigan) as part of CAZoom\n\n\nAbstract
\nWhen $S$ is a ring of prime characteristic $p$ > 0\, the local cohomolog
y of $S$ carries a natural Frobenius structure. If $S$ is regular\, we hav
e access to Lyubeznik's powerful theory of F-modules. We lose this if $S$
is singular\, but retain the notion of Frobenius actions. In this talk\, w
e will present recent joint work with Eric Canton on some advantages to us
ing a non-standard Frobenius action\, defined when $S$ is a complete inter
section ring\, and will discuss applications to questions about finiteness
properties.\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Tucker (University of Illinois\, Chicago)
DTSTART:20200426T180000Z
DTEND:20200426T190000Z
DTSTAMP:20260404T094542Z
UID:cazoom/7
DESCRIPTION:Title: On some permanence properties of (derived) splinters\nby Kevin T
ucker (University of Illinois\, Chicago) as part of CAZoom\n\nAbstract: TB
A\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rebecca R.G. (George Mason University)
DTSTART:20200426T190000Z
DTEND:20200426T200000Z
DTSTAMP:20260404T094542Z
UID:cazoom/8
DESCRIPTION:Title: Test ideals\, Cohen-Macaulay modules\, and singularities of commutat
ive rings\nby Rebecca R.G. (George Mason University) as part of CAZoom
\n\n\nAbstract\nIn this talk I will describe how the related notions of cl
osure operations\, test ideals\, interior operations\, and trace ideals\,
with the help of Cohen-Macaulay modules (both big and small)\, can be appl
ied to the study of singularities of commutative rings. I will explain som
e of the theory connecting these ideas and give a number of computed examp
les.\n
LOCATION:https://stable.researchseminars.org/talk/cazoom/8/
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