BEGIN:VCALENDAR VERSION:2.0 PRODID:-//TYPO3/NONSGML Calendarize//EN BEGIN:VEVENT UID:calendarize-os-reelle-geometrie-und-algebra-from-spectrahedra-to-opera tor-systems-and-beyond DTSTAMP:20240328T154804Z DTSTART:20230602T113000Z DTEND:20230602T130000Z SUMMARY:OS Reelle Geometrie und Algebra: From Spectrahedra to Operator Sys tems and Beyond DESCRIPTION:Spectrahedra are the feasible sets of semidefinite programming . They can be studied with methods from (real) algebraic geometry and conv exity theory\, but much can also be learned by looking at their free (=non commutative) extensions. These turn out be be almost the same as abstract operator systems\, a well-studied notion from operator algebra. This conne ction allows to transfer methods from operator algebra to semialgebraic ge ometry and vice versa\, and leads to several interesting results. I will g ive an introduction and overview about these topics\, and also explain how they can be applied to questions from quantum information theory.\n\n X-ALT-DESC;FMTTYPE=text/html:
Spectrahedra are the feasible sets of semi definite programming. They can be studied with methods from (real) algebra ic geometry and convexity theory\, but much can also be learned by looking at their free (=noncommutative) extensions. These turn out be be almost t he same as abstract operator systems\, a well-studied notion from operator algebra. This connection allows to transfer methods from operator algebra to semialgebraic geometry and vice versa\, and leads to several interesti ng results. I will give an introduction and overview about these topics\, and also explain how they can be applied to questions from quantum informa tion theory.
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