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CATEGORIES:Extraordinary Category Theory Seminar
SUMMARY:An introduction to locally presentable categories
- Sean Moss (University of Cambridge)
DTSTART;TZID=Europe/London:20150721T141500
DTEND;TZID=Europe/London:20150721T151500
UID:TALK60165AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/60165
DESCRIPTION:A locally presentable category can be thought of a
s a category which is quite large (complete and co
complete) but which is also quite small (controlle
d by a mere set of data). The conditions are mild
enough that there are many common categories which
lie in this optimal range. However\, they are als
o strong enough to admit a concrete representation
theorem: in one form\, this says that the locally
presentable categories are precisely the categori
es of models of essentially algebraic theories.\n\
nI will give a basic introduction to locally prese
ntable categories in the spirit of the book by Adá
mek and Rosický\, covering some motivation\, some
key properties and various forms of the representa
tion theorem. Those interested could go on to read
about accessible categories\, an even more genera
l notion enjoying similar properties and an intere
sting representation theorem.
LOCATION:MR3\, Centre for Mathematical Sciences
CONTACT:Zhen Lin Low
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