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SUMMARY:Dualities in Physics: A Philosopher’s View - Dr Jeremy Butterfie
 ld (Faculty of Philosophy\, University of Cambridge)
DTSTART:20210314T132500Z
DTEND:20210314T141500Z
UID:TALK158137@talks.cam.ac.uk
CONTACT:Miroslava Novoveska
DESCRIPTION:YouTube link: https://youtu.be/YiBXqfTzwEA\n\nRegistration for
 m to attend Q&A session on Zoom: https://forms.gle/tTRQreym7s6pR2rW6\n\nIn
  physics\, a duality is\,\nroughly speaking\, a translation scheme between
  two apparently different\ntheories. Much of physicists’ interest in dua
 lities is due to there being\ncases where the translation scheme carries o
 ne from a formulation\, or\nregime\, of a theory where solving problems (i
 .e. calculations) are hard to\na formulation or regime where they are easi
 er. So one can solve a hard\nproblem by doing a calculation in an easier s
 etting\, and translating the\nresult back.\n\nThis talk will discuss the l
 ess practical question (as you might expect\nfrom a philosopher!) about ho
 w to make the idea of duality precise. I will\nargue that a duality is an 
 isomorphism. This means in the simpler cases: a\nmap between the theories
 ’ state spaces\, and quantities\, that preserves\nvalues of quantities a
 nd also respects the dynamics. I will illustrate with\nsome examples. In s
 ome\, the word ‘translation’ is very appropriate since\nthe two theori
 es\, despite their apparent differences\, make the same claims\nabout the 
 world. In other examples\, they make different claims.\n\nThis talk is bas
 ed on joint work with Sebastian De Haro (Trinity College\,\nand University
  of Amsterdam). The two corresponding papers are on the arxiv\nat:\n https
 ://arxiv.org/abs/1707.06681\nhttps://arxiv.org/abs/1806.01505\n
LOCATION:Online
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