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SUMMARY:Mike Freedman (Microsoft Research/ UCSB)
DTSTART:20210111T200000Z
DTEND:20210111T210000Z
DTSTAMP:20260423T021443Z
UID:WHCGP/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/24/">Q
 uantum Codes and Systolic freedom</a>\nby Mike Freedman (Microsoft Researc
 h/ UCSB) as part of Western Hemisphere colloquium on geometry and physics\
 n\n\nAbstract\nIn work with Hastings we find a two-way street between quan
 tum\nerror correcting codes and Riemannian manifolds. A recent advance in 
 coding\ntheory allows us to produce the first example of a manifolds with 
 $Z_2$-power\nlaw-systolic freedom.  Specifically we find\, for any$e>0$\, 
 a sequence of\nappropriately scaled 11D Riemannian manifolds $M_i$\, so th
 at for any dual 4 and\n7 dimensional $Z_2$-cycles\, $X_i$ and $Y_i$\, resp
 .\n\n             $ Vol_4(X_i)*Vol_7(Y_i)  >  (Vol_{11}(M_i))^{(5/4-e)} $.
 \n
LOCATION:https://researchseminars.org/talk/WHCGP/24/
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