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SUMMARY:Cihan Okay (Bilkent University)
DTSTART:20211203T193000Z
DTEND:20211203T210000Z
DTSTAMP:20260423T022744Z
UID:rts/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/rts/4/">Homo
 topy classification of operator solutions of linear systems</a>\nby Cihan 
 Okay (Bilkent University) as part of Rochester topology seminar\n\nLecture
  held in Hylan 1106A.\n\nAbstract\nLinear systems of equations over a fini
 te field play an important role in quantum information theory. Instead of 
 looking for solutions over the base field one can look for solutions (in a
  certain sense) over the unitary group\, which are called operator solutio
 ns. The data of this system of equations can be expressed using a hypergra
 ph and the operator solutions can be studied from a topological point of v
 iew by considering certain topological realizations of these hypergraphs. 
 In this talk I will describe how homotopical methods provide a way to clas
 sify operator solutions of linear systems. Our basic approach is to interp
 ret operator solutions as maps from a topological realization of the hyper
 graph to a certain classifying space first introduced by Adem-Cohen-Torres
 -Giese.\n\nZoom Meeting ID: 972 4663 8781 Passcode: 031045\n
LOCATION:https://researchseminars.org/talk/rts/4/
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