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X-WR-CALDESC:Montana State University Social Calendar Brief Feed
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BEGIN:VEVENT
UID:20210120T140937CET-9176iuDJnt@ical.php
DTSTAMP:20210120T130137Z
CLASS:PUBLIC
DESCRIPTION:Virtual Math Seminar.\nMonday 16 November 4:10-5:15pmMT\n\nWebE
x link\, meeting\, and password:\nhttps://montana.webex.com/montana-en/j.p
hp?MTID=m770a7af532734c3f412bd9f1467234de\n120 112 3734\nmath\n\n\nSpeaker
.\nEric Berry (MSU)\n\nTitle.\n\nThe cohomology of real Grassmannians via
Schubert stratifications\n\n\n\n\nAbstract.\nConsider the collection of al
l k-dimensional subvector spaces of n-dimensional Euclidean space\, e.g. a
ll lines through the origin in R^3. This collection is called the Grassman
nian of k-planes in R^n. Grassmannians play an important role in geometry
and topology. For instance\, they classify vector bundles. One can show th
at Grassmannians are smooth manifolds. Even better\, one can show they pos
sess a natural CW structure. Better still\, Grassmannians possess the stru
cture of a stratified space. In this talk\, I will introduce the Schubert
stratification of Grassmannians and discuss how this extra structure enabl
es us to give an explicit description of the Schubert CW (co)chain complex
. Using these methods\, we can\, for instance\, give significance to the n
umber 30\,525: It is the number of summands of Z/2Z in the 72nd homology g
roup of the Grassmannian of 12-planes in 24-dimensional space. I will show
some neat visualizations of the (co)chain complex and discuss some observ
ations and their implications.\n
DTSTART:20201116T161000
DTEND:20201116T171500
LOCATION:WebEx meeting number: 120 112 3734 . Password: math
SUMMARY:Eric Berry (MSU) 'The cohomology of real Grassmannians via Schubert
stratifications'
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