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CATEGORIES:Trinity Mathematical Society
SUMMARY:Abstraction in Mathematics - Dr Julia Goedecke (DP
MMS)
DTSTART;TZID=Europe/London:20130218T203000
DTEND;TZID=Europe/London:20130218T213000
UID:TALK42838AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/42838
DESCRIPTION:The word abstraction often sounds daunting to many
non-mathematicians\, and probably also to some ma
thematicians. However\, abstraction is all around
us: not only in mathematics\, but also in the way
we form terms and concepts in our language. For ex
ample we all group together houses\, schools\, col
lege chapels and skyscrapers under the word "build
ing". So if we know something that is common to al
l buildings (for example that they have to be main
tained)\, then we know this for every building we
meet without having to work it out anew in each ca
se.\n\nMathematics builds heavily on abstraction.
Some even say that abstraction is the main ingredi
ent in mathematics. I will present some examples o
f mathematical concepts that arise as abstractions
of well-known situations which every undergraduat
e has met. My research area - category theory - ca
n be called the most abstract area of mathematics.
We will try to explore the point of view and unde
rlying principles that drive category theorists to
their very abstract way of thinking.
LOCATION:Winstanley Lecture Theatre\, Trinity College
CONTACT:Mary Fortune
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