BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Category Theory Seminar
SUMMARY:Entropy is inevitable - Tom Leinster\, Edinburgh
DTSTART;TZID=Europe/London:20130219T141500
DTEND;TZID=Europe/London:20130219T151500
UID:TALK42451AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/42451
DESCRIPTION:The title refers not to the death of the universe\
, but to the fact that the concept of entropy is p
resent in the pure-mathematical heartlands of alge
bra and topology\, whether we like it or not. I w
ill describe a categorical machine which\, when fe
d as input the concepts of topological simplex and
real number\, produces as output the concept of S
hannon entropy. The most important component of t
his machine is the notion of "internal algebra" in
an algebra for an operad (generalizing the notion
of monoid in a monoidal category). There is more
: the resulting characterization of Shannon entrop
y can be stripped completely of its categorical ga
rb\, giving a simple\, new\, and entirely elementa
ry characterization. This last theorem is joint w
ith John Baez and Tobias Fritz.\n
LOCATION:MR5\, Centre for Mathematical Sciences
CONTACT:Julia Goedecke
END:VEVENT
END:VCALENDAR