<html xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><meta name=Generator content="Microsoft Word 15 (filtered medium)"><style><!--
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--></style></head><body lang=IT style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal>Dear All,<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>I draw your attention to the following seminar, which will take place tomorrow morning:<br><br>Speaker: Anna Jenčová (Mathematical Institute, Slovak Academy of Sciences)<br>Title: Quantum exponential Orlicz space in information geometry<o:p></o:p></p><p class=MsoNormal>Time: Tuesday, September 28, 10 am (<u>Italian time</u>)<br><br>The abstract follows below in this message. The seminar will be online only and here you can find all the Zoom details:<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>Zoom link:<o:p></o:p></p><p class=MsoNormal>https://us02web.zoom.us/j/81066147079?pwd=N2NiZmppQVpVWElIaXFzWWlSUiszZz09<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>Meeting ID: 810 6614 7079<o:p></o:p></p><p class=MsoNormal>Passcode: 303565<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>Best Regards,<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>Federico Girotti<o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal> <o:p></o:p></p><p class=MsoNormal>Abstract: Information geometry studies geometric structures on statistical models that are related to their statistical<br>properties. One of the achievements of the theory is the construction of a Banach manifold structure on the set<br>of mutually equivalent probability densities, modelled on the exponential Orlicz space. In this talk, a construction <br>of a quantum counterpart of the exponential Orlicz space with respect to a faithful normal state will be presented, based on the relative entropy approach to<br>perturbation of states. Using this space, a Banach manifold structure can be introduced on the set of all faithful<br>normal states of a von Neumann algebra. This talk is based on the papers <br> A. Jenčová, A construction of a nonparametric quantum information manifold, Funct. Anal. 239 (2006), 1-20 and <br>A. Jenčová, On quantum information manifolds, In: Algebraic and Geometric Methods in Statistics, Cambridge University<br>Press 2010.<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p></div></body></html>