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SUMMARY:Anthony Várilly-Alvarado (Rice University)
DTSTART:20200709T223000Z
DTEND:20200709T233000Z
DTSTAMP:20260422T053603Z
UID:SFUQNTAG/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/9/"
 >Rational surfaces and locally recoverable codes</a>\nby Anthony Várilly-
 Alvarado (Rice University) as part of SFU NT-AG seminar\n\n\nAbstract\nMot
 ivated by large-scale storage problems around data loss\, a budding branch
  of coding theory has surfaced in the last decade or so\, centered around 
 locally recoverable codes. These codes have the property that individual s
 ymbols in a codeword are functions of other symbols in the same word. If a
  symbol is lost (as opposed to corrupted)\, it can be recomputed\, and hen
 ce a code word can be repaired. Algebraic geometry has a role to play in t
 he design of codes with locality properties. In this talk I will explain h
 ow to use algebraic surfaces birational to the projective plane to both re
 interpret constructions of optimal codes already found in the literature\,
  and to find new locally recoverable codes\, many of which are optimal (in
  a suitable sense). This is joint work with Cecília Salgado and Felipe Vo
 loch.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/9/
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