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DESCRIPTION:Using category theory to organize and operate on information\n
 \n\n	Abstract:\n\n	Category theory has become a fundamental part of pure mat
 hematics because of its ability to bridge different disciplines and to pro
 vide broadly-applicable conceptual structures and tools\, helping mathemat
 icians to operate more effectively on diverse collections of objects. Howe
 ver\, it has more recently branched out\, making major contributions in fi
 elds like physics and computer science. Its power being to organize and ma
 ke connections\, I believe category theory also has much to offer in the f
 ledgling field of data science\, where information from diverse sources ne
 eds to be integrated and made useful. Finding useful structures that span 
 diverse disciplines is the overarching theme of the talk. First I will dis
 cuss a broad framework from category theory\, namely that of operads\, whi
 ch formalizes a very general notion of composition. I will give several sm
 all examples from materials science\, the pharmaceutical industry\, and co
 mputer science.  Then I will explain in some detail another application: a
  new approach to solving\n		systems of nonlinear systems of equations or ine
 qualities. Finally\, I will show how precisely the same compositional fram
 ework also gives tools for combining data from multiple sources\, as well 
 as for analyzing interconnected dynamical systems.  Attendees will not nee
 d any category theory background to understand the talk.\n\n
DTSTART:20171002T200000Z
DTEND:20171002T210000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:David Spivak  (MIT)
URL:/mathstat/channels/event/david-spivak-mit-270374
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