BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Legendre-Fenchel transform from a category theoretic perspecti
 ve - Simon Willerton (University of Sheffield)
DTSTART:20190305T141500Z
DTEND:20190305T151500Z
UID:TALK119206@talks.cam.ac.uk
CONTACT:Tamara von Glehn
DESCRIPTION:The Legendre-Fenchel transform is a classical piece of mathema
 tics with many applications. In this talk I'll show how it arises in the c
 ontext of category theory using categories enriched over the extended real
  numbers $\\overline{ \\mathbb{R}}:=[-\\infty\,+\\infty]$.  It turns out t
 hat it arises out of nothing more than the pairing between a vector space 
 and its dual in the same way that the many classical dualities (eg. in Gal
 ois theory or algebraic geometry) arise from a relation between sets.\n\nI
  won't assume knowledge of the Legendre-Fenchel transform.
LOCATION:MR4\, Centre for Mathematical Sciences
END:VEVENT
END:VCALENDAR