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TZID:America/Chicago
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DTSTART:20191103T020000
TZOFFSETFROM:-0500
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DTSTART:20190310T020000
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RDATE:20200308T020000
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BEGIN:VEVENT
UID:calendar.23926.field_event_date_2.0@math.wustl.edu
CREATED:20190930T154815Z
DESCRIPTION:Abstract: Given a finite field extension\, classical Galois the
ory allows us to associate it with a finite group. The inverse Galois prob
lem investigates the reverse: given a finite group\, can we find a finite
field extension that is attached to it? If a finite field extension is a G
alois extension\, we call its associated finite group a Galois group. Peop
le who work on the inverse Galois problem want to know if every finite gro
up is a Galois group. A usual way to attain a Galois extension is by takin
g the splitting field of some polynomial over the rational field Q. In thi
s case\, its Galois group can be viewed as a permutation group of the root
s of that polynomial. This gives us some hope of studying the inverse Galo
is problem constructively. That is\, for a given finite group G\, we try t
o write down a polynomial over Q such that the finite group associated to
its splitting field over Q is isomorphic to G. In this talk\, we’ll see so
me families of polynomials that describe all Galois extensions with Galois
group isomorphic to some certain small group.\n\nHost: Nathan Wagner
DTSTART;TZID=America/Chicago:20191009T160000
DTEND;TZID=America/Chicago:20191009T170000
LAST-MODIFIED:20191007T135902Z
SUMMARY:Szego Seminar: 'Parametric polynomials for small Galois groups'
URL;TYPE=URI:https://math.wustl.edu/events/szego-seminar-parametric-polynom
ials-small-galois-groups
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