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SUMMARY:Victor Castillo (Bilkent University)
DTSTART:20240415T103000Z
DTEND:20240415T113000Z
DTSTAMP:20260422T135812Z
UID:BilTop/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/87/">
 Quantum nonlocal games and the d-torsion commutative space</a>\nby Victor 
 Castillo (Bilkent University) as part of Bilkent Topology Seminar\n\nLectu
 re held in SB-Z11.\n\nAbstract\nNonlocal games have played a prominent rol
 e in quantum information theory by demonstrating the power of non-locality
 . In particular\, the 'magic' examples due to Mermin and Peres belong to t
 he class of linear system games. The Mermin-Peres games have no classical 
 solutions\, but they admit operator solutions.\n\nIn this talk\, we transl
 ate the problem of finding operator solutions into a problem of extensions
  for partial groups (in the sense of Broto-Gonzalez). In particular\, we d
 efine the d-torsion commutative nerve for groups\, whose homotopy structur
 e is crucial to identify a practical criterion (in terms of higher limits)
  to test a conjecture due to Chung-Okay-Sikora regarding linear system gam
 es over Z_d\, with d odd.\n\nThis is joint work with Ho Yiu Chung and Ciha
 n Okay.\n
LOCATION:https://researchseminars.org/talk/BilTop/87/
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