BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Cihan Okay (Bilkent University) DTSTART:20211203T193000Z DTEND:20211203T210000Z DTSTAMP:20260404T151817Z UID:rts/4 DESCRIPTION:Title: Homotopy classification of operator solutions of linear systems\nby Cihan Okay (Bilkent University) as part of Rochester topology seminar\n\n Lecture held in Hylan 1106A.\n\nAbstract\nLinear systems of equations over a finite field play an important role in quantum information theory. Inst ead of looking for solutions over the base field one can look for solution s (in a certain sense) over the unitary group\, which are called operator solutions. The data of this system of equations can be expressed using a h ypergraph and the operator solutions can be studied from a topological poi nt of view by considering certain topological realizations of these hyperg raphs. In this 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 th e hypergraph to a certain classifying space first introduced by Adem-Cohen -Torres-Giese.\n\nZoom Meeting ID: 972 4663 8781 Passcode: 031045\n LOCATION:https://stable.researchseminars.org/talk/rts/4/ END:VEVENT END:VCALENDAR