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 2017 X-WR-CALDESC:Commutative Algebra Seminar at University of Utah Mathematics Department X-WR-TIMEZONE:America/Denver BEGIN:VEVENT UID:20170120T151000-andrew-snowden@math.utah.edu DTSTART;TZID=America/Denver:20170120T151000 DTEND;TZID=America/Denver:20170120T161000 DTSTAMP:20260823T110330Z SUMMARY:Click here DESCRIPTION:Speaker: Andrew Snowden\, University of Michigan\n\n[Click here](http://www.math.utah.edu/~ptrapa/RTseminar/) LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170127T151000-brendan-levin@math.utah.edu DTSTART;TZID=America/Denver:20170127T151000 DTEND;TZID=America/Denver:20170127T161000 DTSTAMP:20260823T110330Z SUMMARY:Click here DESCRIPTION:Speaker: Brendan Levin\, University of Chicago\n\n[Click here](http://www.math.utah.edu/~ptrapa/RTseminar/) LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170210T151000-andrew-bydlon@math.utah.edu DTSTART;TZID=America/Denver:20170210T151000 DTEND;TZID=America/Denver:20170210T161000 DTSTAMP:20260823T110330Z SUMMARY:TBD DESCRIPTION:Speaker: Andrew Bydlon\, University of Utah\n\nAbstract goes here. LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170301T151000-tokuji-araya@math.utah.edu DTSTART;TZID=America/Denver:20170301T151000 DTEND;TZID=America/Denver:20170301T161000 DTSTAMP:20260823T110330Z SUMMARY:Remarks on the total reflexivity for modules DESCRIPTION:Speaker: Tokuji Araya\, Okayama University of Science, Japan\n\nThe notion of totally reflexive module has been introduced by Auslander and Bridger. A finitely generated module M over a noetherian ring R is called "totally reflexive" if the following two conditions are satisfied: (1) Ext^i_R(M,R)=0 for all i>0, (2) Ext^i_R(Tr(M),R)=0 for all i>0. Here, Tr(M) is … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170308T151000-tsutomu-nakamura@math.utah.edu DTSTART;TZID=America/Denver:20170308T151000 DTEND;TZID=America/Denver:20170308T161000 DTSTAMP:20260823T110330Z SUMMARY:Local homology functors with cosupports in general subsets of Spec R DESCRIPTION:Speaker: Tsutomu Nakamura\, Okayama University, Japan\n\nLet R be a commutative Noetherian ring. In this talk, we introduce the local homology functor lambda^W with cosupport in a subset W of Spec R. If W is equal to a closed subset V(I) for an ideal I of R, then lambda^W coincides with an ordinary local homology functor, which is isomorphic to the left … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170324T151000-chris-skalit@math.utah.edu DTSTART;TZID=America/Denver:20170324T151000 DTEND;TZID=America/Denver:20170324T161000 DTSTAMP:20260823T110330Z SUMMARY:The Claborn-Fossum Conjecture and The Gersten Complex DESCRIPTION:Speaker: Chris Skalit\, University of Illinois, Chicago\n\nA classical theorem of Auslander-Buchsbaum asserts that the divisor class group of a regular local ring A is trivial. Several years later, Claborn and Fossum conjectured that the same result ought to hold for all cycles of positive codimension on Spec A. In this talk, we shall discuss the storied … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170331T151000-axel-st%C3%A4bler@math.utah.edu DTSTART;TZID=America/Denver:20170331T151000 DTEND;TZID=America/Denver:20170331T161000 DTSTAMP:20260823T110330Z SUMMARY:Functorial test modules DESCRIPTION:Speaker: Axel Stäbler\, University of Michigan\n\nIn my talk I will report on joint work with Manuel Blickle. I will explain how one can generalize the definition of test ideals tau to so-called Cartier modules in a functorial way. We obtain several transformation rules with respect to f^! and f_* for various classes of morphisms f: X -> Y, e.g. … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170407T151000-wenbo-niu@math.utah.edu DTSTART;TZID=America/Denver:20170407T151000 DTEND;TZID=America/Denver:20170407T161000 DTSTAMP:20260823T110330Z SUMMARY:Singularities under generic linkage DESCRIPTION:Speaker: Wenbo Niu\, University of Arkansas\n\nOne of the central problem in linkage theory (or liaison) is to understand the behavior of singularities. Given a variety X, the general equations of X will define a complete intersection V containing X as a component. The closure of V-X gives a variety Y as the residual part of X in V . Then Y is … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170421T151000-elo%C3%ADsa-grifo@math.utah.edu DTSTART;TZID=America/Denver:20170421T151000 DTEND;TZID=America/Denver:20170421T161000 DTSTAMP:20260823T110330Z SUMMARY:Symbolic powers of ideals defining F-pure rings DESCRIPTION:Speaker: Eloísa Grifo\, University of Virginia\n\nGiven a radical ideal I in a regular ring R, the containment problem of symbolic and ordinary powers of I consists of determining which symbolic powers of I are contained in each power of I. By work of Ein-Lazersfeld-Smith and Hochster-Huneke, there is a uniform answer to this question, but the … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170421T151000-jack-jeffries@math.utah.edu DTSTART;TZID=America/Denver:20170421T151000 DTEND;TZID=America/Denver:20170421T161000 DTSTAMP:20260823T110330Z SUMMARY:Quantifying singularities using differential operators DESCRIPTION:Speaker: Jack Jeffries\, University of Michigan\n\nAbstract goes here. LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT BEGIN:VEVENT UID:20170428T151000-mark-walker@math.utah.edu DTSTART;TZID=America/Denver:20170428T151000 DTEND;TZID=America/Denver:20170428T161000 DTSTAMP:20260823T110330Z SUMMARY:The total rank conjecture DESCRIPTION:Speaker: Mark Walker\, University of Nebraska, Lincoln\n\nThe title refers to a conjecture on the sum of the ranks of all the free modules occurring in a free resolution of a module of finite projective dimension over a local ring. It is a weakened form of the Buchsbaum-Eisenbud-Horrocks Conjecture, which concerns a lower bound on the ranks of the … LOCATION:LCB 215 URL:http://math.utah.edu/caseminar/2017-spring/ END:VEVENT END:VCALENDAR