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SUMMARY:Cihan Okay (Bilkent Üniversitesi)
DTSTART:20220107T140000Z
DTEND:20220107T150000Z
DTSTAMP:20260424T094606Z
UID:MSGSUMath/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MSGSUMath/4/
 ">Homotopy classification of operator solutions of linear systems</a>\nby 
 Cihan Okay (Bilkent Üniversitesi) as part of Mimar Sinan University Mathe
 matics Seminars\n\n\nAbstract\nLinear systems of equations over a finite f
 ield play an important role in quantum information theory. Instead of look
 ing for solutions over the base field one can look for solutions (in a cer
 tain sense) over the unitary group\, which are called operator solutions. 
 The data of this system of equations can be expressed using a hypergraph a
 nd the operator solutions can be studied from a topological point of view 
 by considering certain topological realizations of these hypergraphs. In t
 his talk I will describe how homotopical methods provide a way to classify
  operator solutions of linear systems. Our basic approach is to interpret 
 operator solutions as maps from a topological realization of the hypergrap
 h to a certain classifying space first introduced by Adem-Cohen-Torres Gie
 se.\n
LOCATION:https://researchseminars.org/talk/MSGSUMath/4/
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