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CATEGORIES:Trinity Mathematical Society
SUMMARY:What's the Point? - Alex Shannon (DPMMS)
DTSTART;TZID=Europe/London:20120304T164500
DTEND;TZID=Europe/London:20120304T171500
UID:TALK36736AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/36736
DESCRIPTION:The notion of a 'point' in geometry seems fairly b
asic\, but during the 20th century a generalised a
nd abstracted notion provided much new insight and
intuition. More recently\, studying some of the m
athematical ideas underlying theoretical physics h
as led mathematicians to consider so-called non-co
mmutative geometry. 'Spaces' in this setting have
algebras of functions on them which are non-commut
ative\, but there is no actual classical geometric
space underlying them! However\, the generalised
notion of a point does allow one to develop a cert
ain amount of geometric intuition. In this talk\,
I shall explain the modern point of view on points
in algebraic geometry\, and explain in some examp
les how this allows one to study non-commutative a
lgebras in a way that resembles what we might norm
ally consider geometry.
LOCATION:Winstanley Lecture Theatre\, Trinity College
CONTACT:Mary Fortune
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