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SUMMARY:Universal Properties: a categorical look at undergraduate algebra 
 and topology - Dr. Julia Godecke (DPMMS)
DTSTART:20170224T190000Z
DTEND:20170224T200000Z
UID:TALK71451@talks.cam.ac.uk
CONTACT:47767
DESCRIPTION:\n\nMostly without knowing\, you have all already met lots of 
 objects with universal properties throughout your undergraduate courses. W
 orking with the universal property of an object rather than its concrete i
 mplementation can have huge benefits: it gives an implementation-independe
 nt definition\, which can therefore be used in many different mathematical
  areas at once. It also gives much greater conceptual clarity about the ob
 ject in question and what role it plays within its area. In general\, the 
 concept of universal property is a very important one and crops up in near
 ly all areas of pure mathematics. My own field of category theory is the n
 atural setting to investigate this concept. After a short introduction to 
 the ideas of category theory I will spend most of the talk highlighting th
 e universal properties of objects you are very familiar with\, such as car
 tesian products and quotients\, as well as giving you insight into a few y
 ou may not yet have met.
LOCATION:MR2\, Centre for Mathematical Sciences
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