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DTSTART:20180921T210000Z
UID:133008@events.unl.edu
DTSTAMP:20180830T112222Z
ORGANIZER;CN=Luchezar Avramov:
SUMMARY:Lars Christensen\, Texas Tech University
DESCRIPTION:The common solutions to a system of polynomial equations in var
iables x\, y\, and z define an (algebraic) variety in 3-dimensional space.
Two such varieties are said to be `linked’ if their union is a particul
arly nice kind of variety. Thus\, linked varieties are in some sense compl
ementary\: one carries an imprint of the other.\n\nLinkage has an algebrai
c incarnation that is used to study ideals. In the talk I will discuss how
the idea that linked ideals are “complementary” can be used to unwind
the detailed structure of a classification of ideals in the ring of polyn
omials in three variables. What that structure is only became clear to u
s—Oana Veliche\, Jerzy Weyman\, and myself—after extensive experimenta
tion\, and justifying it rigorously felt\, at times\, like solving a solit
aire.
LOCATION:Avery Hall Room
URL://events.unl.edu/math/2018/09/21/133008/
DTEND:20180921T215000Z
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