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SUMMARY:David Reutter (Universität Hamburg)
DTSTART:20261007T090000Z
DTEND:20261007T100000Z
DTSTAMP:20261006T044748Z
UID:EQuAL/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/60/">F
 ermions and the higher categorical separable closure of the real numbers</
 a>\nby David Reutter (Universität Hamburg) as part of European Quantum Al
 gebra Lectures (EQuAL)\n\n\nAbstract\nIn this talk\, I will explain a sens
 e in which the category of complex vector spaces does not have solutions t
 o all "polynomial equations"\, and how adjoining  such a solution leads to
  the category sVec of super vector spaces. Remarkably\, a theorem of Delig
 ne suggests that this category now is "algebraically closed" and is in fac
 t uniquely characterized as the "algebraic closure" of the category of vec
 tor spaces. I will outline work in progress extending this to higher dimen
 sions\, leading to the higher categorical separable closure of the complex
  numbers. Constructing and analyzing it involves ideas from Galois theory\
 , stable homotopy theory and quantum field theory. Based on joint work in 
 progress with Theo Johnson-Freyd.\n
LOCATION:https://researchseminars.org/talk/EQuAL/60/
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