BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jean-Pierre Gazeau (Université de Paris) DTSTART:20210930T140000Z DTEND:20210930T150000Z DTSTAMP:20260422T212834Z UID:ICTPmathseminarBNS/1 DESCRIPTION:Title: Orientations in the plane as quantum states\nby Jean-Pierre Gazeau (Université de Paris) as part of ICTP Math - Basic Notions Semina r\n\n\nAbstract\nI will introduce and discuss some of the most basic fund amental concepts of quantum physics by using orientations or angles in th e plane\, illustrated through linear polarisations of the light. \nStartin g with the Euclidean plane\, which is certainly a paradigmatic example of a Hilbert space\, the orientations in the plane are identified with the p ure states. Associating these quantum orientations with linear polarisati ons of light in the plane normal to its propagation constitutes an immedia te and nice illustration of the presented formalism. Another contributio n concerns the description of the dynamics of quantum states. The pure sta tes form the unit circle (actually a half of it) and the mixed states form the unit disk (actually a half of it). Rotations in the plane rule time e volution through Majorana-like equations involving only real quantities f or closed (Heisenberg-Dirac) and open (Lindblad) systems. Interesting pro babilistic aspects are developed. Finally\, I revisit light linear polar isation as an example of quantum measurement through Stokes parameters.\n \nRegister in advance for this meeting:\nhttps://zoom.us/meeting/register/ tJUkceioqzMpGNGCvH1IR8UNevYyLmFQK82A\nAfter registering\, you will receive a confirmation email containing information about joining the meeting.\n LOCATION:https://researchseminars.org/talk/ICTPmathseminarBNS/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Micah B. Milinovich (University of Mississippi) DTSTART:20221013T140000Z DTEND:20221013T150000Z DTSTAMP:20260422T212834Z UID:ICTPmathseminarBNS/2 DESCRIPTION:Title: An introduction to the Riemann Hypothesis and gaps between prim es\nby Micah B. Milinovich (University of Mississippi) as part of ICTP Math - Basic Notions Seminar\n\nLecture held in Luigi Stasi Seminar Room\ , ICTP\, Leonardo Building.\n\nAbstract\nThere is a beautiful connection b etween the prime numbers and the zeros of Riemann zeta-function in the com plex plane\, and understanding the distribution of these zeros can lead to remarkable consequences in our understanding of the primes. A famous open problem\, known as the Riemann Hypothesis\, states that the non-real zero s of the Riemann zeta-function lie on a vertical line. I will motivate thi s conjecture\, describe some evidence for it\, and describe some of the co nsequences it would lead to in our understanding of the primes. In particu lar\, I will describe how to bound on the maximum gap between prime number s assuming the Riemann Hypothesis (which is based on joint work with Carne iro and Soundararajan).\n\nRegister in advance for this meeting:\nhttps:// zoom.us/meeting/register/tJUrdemorzkrGNzSiwZP6ruorx2JnVxwd1zm \n\nAfter re gistering\, you will receive a confirmation email containing information a bout joining the meeting.\n LOCATION:https://researchseminars.org/talk/ICTPmathseminarBNS/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Diletta Martinelli (University of Amsterdam) DTSTART:20221209T150000Z DTEND:20221209T160000Z DTSTAMP:20260422T212834Z UID:ICTPmathseminarBNS/3 DESCRIPTION:Title: What is a Moduli Space?\nby Diletta Martinelli (University of Amsterdam) as part of ICTP Math - Basic Notions Seminar\n\nLecture held in for in-person attendees: Luigi Stasi Seminar Room\, ICTP\, Leonardo Bu ilding.\n\nAbstract\nGiven a certain set of mathematical objects\, a guidi ng question is often the classification problem. In algebraic geometry\, t he objects that you would like to classify have usually some geometry inte rests\, like for instance manifolds\, vector bundles\, algebraic curves. T he attempt to reach a meaningful classification often leads to the constru ction of a moduli space: a parameter space whose points correspond to all the objects you would like to study. In the talk\, I will give a very gent le introduction to the notion of parameter space focusing on elementary ex amples. If time permits\, at the end I will give some hints towards more c omplicated but also more interesting examples.\n\nThis is a hybrid event. In order to participate in remote\, please register through the link below :\nhttps://zoom.us/meeting/register/tJ0od-ihrTIjH9F3K0rVN45vAwYwC2diqLtL\n LOCATION:https://researchseminars.org/talk/ICTPmathseminarBNS/3/ END:VEVENT END:VCALENDAR