BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A tutorial on constructions of finite complexes wi
th specified cohomology (after Steve Mitchell and
Jeff Smith) - Nicholas Kuhn (University of Virgini
a)
DTSTART;TZID=Europe/London:20180807T153000
DTEND;TZID=Europe/London:20180807T163000
UID:TALK108646AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/108646
DESCRIPTION:Central to the study of modern homotopy theory is
the Periodicity Theorem of Mike Hopkins and Jeff S
mith\, which says that any type n finite complex a
dmits a v_n self map. Their theorem follows from
the Devanitz-Hopkins-Smith Nilpotence Theorem once
one has constructed at least one example of v_n s
elf map of a type n complex. The construction o
f such an ur-example uses a construction due to Je
ff Smith making use of the modular representation
theory of the symmetric groups. This followed the
first construction of a type n complex for all n
by Steve Mitchell\, which used the modular represe
ntation theory of the general linear groups over Z
/p. The fine points of the Smith construction are
not in the only published source: Ravenel'\;s
write-up in his book on the Nilpotence Theorems.
I'\;ll discuss some of this\, and illustrate th
e ideas with a construction of a spectrum whose mo
d 2 cohomology is free on one generator as a modul
e over A(3)\, the 1024 dimensional subalgebra of t
he Steenrod algebra generated by Sq^1\, Sq^2\, Sq^
4\, and Sq^8.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
END:VEVENT
END:VCALENDAR