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SUMMARY:Lattices and Homological Algebra - Zsuzsanna Dancso (University of
  Sydney)
DTSTART:20170626T103000Z
DTEND:20170626T113000Z
UID:TALK73057@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span><span>Co-author: Anthony Licata		(Australian National Un
 iversity)        <br></span><br>I&#39\;ll begin with some dreams and motiv
 ation regarding lifting notions of lattice theory to homological algebra. 
 For most of the talk\, we&#39\;ll study a concrete example: the lattices o
 f integer cuts and flows associated to a finite graph. Given a graph G and
  choice of spanning tree T\, we construct an algebra A(G\,T) such that the
  Groethendieck group of the category of finitely generated A(G\,T)-modules
  with the Euler (Ext) pairing contains the cut and flow lattices of G as o
 rthogonal complements. We&#39\;ll discus many open problems regarding gene
 ralisations and possible uses for the extra structure that is present at t
 he category level\, such as gradings. Joint work in progress with Anthony 
 Licata.</span>Navigation:
LOCATION:Seminar Room 1\, Newton Institute
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