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BEGIN:VEVENT
SUMMARY:Robin Hartshorne (University of California\, Berkeley)
DTSTART:20210224T160000Z
DTEND:20210224T170000Z
DTSTAMP:20260404T094121Z
UID:IPMMathColl/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/IPMMa
 thColl/1/">Set-Theoretic Complete Intersections and Local Cohomology</a>\n
 by Robin Hartshorne (University of California\, Berkeley) as part of IPM M
 athematics Colloquium\n\n\nAbstract\nA variety $V$ of codimension $r$ in a
  projective space $\\mathbb{P}^n$ is called a set-theoretic complete inter
 section if $V$\, as a set\, is the intersection of exactly $r$ hypersurfac
 es 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 o
 pen problem\, is every irreducible nonsingular curve in $\\mathbb{P}^3$ a 
 set-theoretic complete intersection? In particular I will mention several 
 algebraic criteria\, including local cohomology that can in principle be u
 sed to show that certain varieties are not s.t.c.i.\n\nThe IPM Math Colloq
 uium is streamed on Zoom (https://zoom.us/join):\n\nMeeting ID: 916 0756 4
 666\n\nPasscode: the order of the symmetric group on 9 elements.\n
LOCATION:https://stable.researchseminars.org/talk/IPMMathColl/1/
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BEGIN:VEVENT
SUMMARY:David Cox (Amherst College)
DTSTART:20210414T120000Z
DTEND:20210414T130000Z
DTSTAMP:20260404T094121Z
UID:IPMMathColl/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/IPMMa
 thColl/2/">Stickelberger and the Eigenvalue Theorem</a>\nby David Cox (Amh
 erst College) as part of IPM Mathematics Colloquium\n\n\nAbstract\nThe Eig
 envalue Theorem is a basic result in computational algebraic geometry. It 
 says that solving a zero-dimensional system of polynomial equations can be
  reduced to an eigenvalue problem in linear algebra. The name of Ludwig St
 ickelberger (1850-1936) is often attached to this theorem\, yet papers tha
 t use his name never cite any of his papers. My lecture will explore the r
 easons for this. The answer involves a lovely trace formula in algebraic n
 umber theory and an algebra textbook published by Gunter Scheja and Uwe St
 orch in 1988.\n\nThe IPM Mathematic Colloquium streams on Zoom.\n\nMeeting
  ID: 915 5230 4898\n\nPasscode: The order of the permutation group on 9 el
 ements\n
LOCATION:https://stable.researchseminars.org/talk/IPMMathColl/2/
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