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SUMMARY:Guillermo Cortiñas (Buenos Aires)
DTSTART:20200713T150000Z
DTEND:20200713T170000Z
DTSTAMP:20260423T021440Z
UID:eAKTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/eAKTS/6/">Bi
 variant (hermitian) K-theory and applications</a>\nby Guillermo Cortiñas 
 (Buenos Aires) as part of electronic Algebraic K-theory Seminar\n\nLecture
  held in 914-5033-3867.\n\nAbstract\nAbstract: Bivariant algebraic K-theor
 y is a functor from a category of associative algebras over a commutative 
 ring to a certain triangulated category\; this functor is homotopy invaria
 nt\, matricially stable and excisive and is universal with those propertie
 s. Weibel's homotopy algebraic $K$-theory is recovered as a $\\hom$ in the
  above triangulated category.\n\nIn the talk we shall explain how this biv
 ariant theory --and its newly hatched hermitian version-- is used to tackl
 e a long standing problem in the theory of graph algebras\, which asserts 
 that for a certain family of these algebras\, $K_0$ is a complete invarian
 t of its isomorphism class.\n
LOCATION:https://researchseminars.org/talk/eAKTS/6/
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