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SUMMARY:Robin Hartshorne (University of California\, Berkeley)
DTSTART:20210224T160000Z
DTEND:20210224T170000Z
DTSTAMP:20260422T225759Z
UID:IPMMathColl/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IPMMathColl/
 1/">Set-Theoretic Complete Intersections and Local Cohomology</a>\nby Robi
 n Hartshorne (University of California\, Berkeley) as part of IPM Mathemat
 ics Colloquium\n\n\nAbstract\nA variety $V$ of codimension $r$ in a projec
 tive space $\\mathbb{P}^n$ is called a set-theoretic complete intersection
  if $V$\, as a set\, is the intersection of exactly $r$ hypersurfaces in $
 \\mathbb{P}^n$. I will discuss  the history of the general problem\, which
  varieties $V$ are s.t.c.i.\, with special attention to the still open pro
 blem\, is every irreducible nonsingular curve in $\\mathbb{P}^3$ a set-the
 oretic complete intersection? In particular I will mention several algebra
 ic criteria\, including local cohomology that can in principle be used to 
 show that certain varieties are not s.t.c.i.\n\nThe IPM Math Colloquium is
  streamed on Zoom (https://zoom.us/join):\n\nMeeting ID: 916 0756 4666\n\n
 Passcode: the order of the symmetric group on 9 elements.\n
LOCATION:https://researchseminars.org/talk/IPMMathColl/1/
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BEGIN:VEVENT
SUMMARY:David Cox (Amherst College)
DTSTART:20210414T120000Z
DTEND:20210414T130000Z
DTSTAMP:20260422T225759Z
UID:IPMMathColl/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IPMMathColl/
 2/">Stickelberger and the Eigenvalue Theorem</a>\nby David Cox (Amherst Co
 llege) as part of IPM Mathematics Colloquium\n\n\nAbstract\nThe Eigenvalue
  Theorem is a basic result in computational algebraic geometry. It says th
 at solving a zero-dimensional system of polynomial equations can be reduce
 d to an eigenvalue problem in linear algebra. The name of Ludwig Stickelbe
 rger (1850-1936) is often attached to this theorem\, yet papers that use h
 is name never cite any of his papers. My lecture will explore the reasons 
 for this. The answer involves a lovely trace formula in algebraic number t
 heory and an algebra textbook published by Gunter Scheja and Uwe Storch in
  1988.\n\nThe IPM Mathematic Colloquium streams on Zoom.\n\nMeeting ID: 91
 5 5230 4898\n\nPasscode: The order of the permutation group on 9 elements\
 n
LOCATION:https://researchseminars.org/talk/IPMMathColl/2/
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