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 2015 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20150116T151000-madhusudan-manjunath@math.utah.edu DTSTART;TZID=America/Denver:20150116T151000 DTEND;TZID=America/Denver:20150116T161000 DTSTAMP:20260823T110330Z SUMMARY:Minimal free resolutions of toppling ideals DESCRIPTION:Speaker: Madhusudan Manjunath\, UC Berkeley\n\nThe Laplacian lattice of an undirected connected graph is the lattice generated by the rows of its Laplacian matrix. We describe the minimal free resolution of the Laplacian lattice ideal of the graph. This is joint work with Frank-Olaf Schreyer and John Wilmes. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150130T151000-nick-switala@math.utah.edu DTSTART;TZID=America/Denver:20150130T151000 DTEND;TZID=America/Denver:20150130T161000 DTSTAMP:20260823T110330Z SUMMARY:Matlis duality for D-modules and de Rham cohomology DESCRIPTION:Speaker: Nick Switala\, University of Minnesota\n\nLet R be a formal power series ring over a field k of characteristic zero, and let D be the ring of k-linear differential operators on R. By interpreting the Matlis dual of an R-module M in terms of certain k-linear maps from M to k (following SGA2), we show that given any left D-module, there is a … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150220T151000-tony-se@math.utah.edu DTSTART;TZID=America/Denver:20150220T151000 DTEND;TZID=America/Denver:20150220T161000 DTSTAMP:20260823T110330Z SUMMARY:Finite F-type and F-abundant modules DESCRIPTION:Speaker: Tony Se\, University of Kansas\n\nWe will introduce and consider basic properties of two types of finitely generated modules over a commutative noetherian ring R of positive prime characteristic. The first is the category of modules of finite F-type. They include reflexive ideals representing torsion elements in the divisor class … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150306T151000-peder-thompson@math.utah.edu DTSTART;TZID=America/Denver:20150306T151000 DTEND;TZID=America/Denver:20150306T161000 DTSTAMP:20260823T110330Z SUMMARY:Stable local cohomology DESCRIPTION:Speaker: Peder Thompson\, University of Nebraska, Lincoln\n\nLet R be a Gorenstein local ring, I an ideal in R, and M an R-module. The local cohohomology of M supported at I can be computed by applying the I-torsion functor to the injective resolution of M. Since R is Gorenstein, M has a complete injective resolution, so it is natural to ask what one gets by … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150327T151000-michael-brown@math.utah.edu DTSTART;TZID=America/Denver:20150327T151000 DTEND;TZID=America/Denver:20150327T161000 DTSTAMP:20260823T110330Z SUMMARY:Knoerrer periodicity and Bott periodicity DESCRIPTION:Speaker: Michael Brown\, University of Nebraska, Lincoln\n\nThe goal of my talk will be to describe a precise sense in which Knoerrer periodicity, a property of maximal Cohen-Macaulay modules over certain hypersurface rings, is a manifestation of Bott periodicity in topological K-theory. Along the way, I will introduce an 8-periodic version of Knoerrer … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150327T151000-luchezar-l.-avramov@math.utah.edu DTSTART;TZID=America/Denver:20150327T151000 DTEND;TZID=America/Denver:20150327T161000 DTSTAMP:20260823T110330Z SUMMARY:Polynomial growth of Betti sequences over local rings DESCRIPTION:Speaker: Luchezar L. Avramov\, University of Nebraska, Lincoln\n\n LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150403T151000-dale-cutkosky@math.utah.edu DTSTART;TZID=America/Denver:20150403T151000 DTEND;TZID=America/Denver:20150403T161000 DTSTAMP:20260823T110330Z SUMMARY:Stable forms of generically finite morphisms along a valuation in arbitrary characteristic DESCRIPTION:Speaker: Dale Cutkosky\, University of Missouri, Columbia\n\nWe discuss some theorems showing that in characteristic zero, along a (not necessarily discrete) valuation, generically finite morphisms of nonsingular varieties and of their associated graded rings along the valuation have stably toric forms under blow ups. We also give counterexamples to these … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150403T151000-hema-srinivasan@math.utah.edu DTSTART;TZID=America/Denver:20150403T151000 DTEND;TZID=America/Denver:20150403T161000 DTSTAMP:20260823T110330Z SUMMARY:Unmodality of Hilbert functions of graded Artinian algebras DESCRIPTION:Speaker: Hema Srinivasan\, University of Missouri, Columbia\n\n LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150410T151000-florian-enescu@math.utah.edu DTSTART;TZID=America/Denver:20150410T151000 DTEND;TZID=America/Denver:20150410T161000 DTSTAMP:20260823T110330Z SUMMARY:The Frobenius complexity of a local ring DESCRIPTION:Speaker: Florian Enescu\, Georgia State University\n\nThe talk will discuss the concept of Frobenius complexity of a local ring of prime characteristic and analyze it in the case of determinantal rings. This is joint work with Yongwei Yao. LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150410T151000-kevin-tucker@math.utah.edu DTSTART;TZID=America/Denver:20150410T151000 DTEND;TZID=America/Denver:20150410T161000 DTSTAMP:20260823T110330Z SUMMARY:On the limit of the F-signature function in characteristic zero DESCRIPTION:Speaker: Kevin Tucker\, University of Illinois, Chicago\n\nThe F-signature of a local ring in positive characteristic gives a measure of singularities by analyzing the asymptotic behavior of the number of splittings (F-splittings) of large iterates of the Frobenius endomorphism. One can also incorporate ideal pairs by restricting the set of "allowable" … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT BEGIN:VEVENT UID:20150417T151000-luis-n%C3%BA%C3%B1ez-betancourt@math.utah.edu DTSTART;TZID=America/Denver:20150417T151000 DTEND;TZID=America/Denver:20150417T161000 DTSTAMP:20260823T110330Z SUMMARY:Lyubeznik numbers and injective dimension of local cohomology in mixed characteristic DESCRIPTION:Speaker: Luis Núñez-Betancourt\, University of Virginia\n\nThe Lyubeznik numbers in mixed characteristic are invariants for local rings that do not contain a field. These invariants are inspired by the numbers that Lyubeznik defined for equal characteristic rings, which are known to have algebraic and geometric interpretations. In this talk, we will give an … LOCATION:LCB 222 URL:http://math.utah.edu/caseminar/2015-spring/ END:VEVENT END:VCALENDAR