BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gabriele Carcassi (University of Michigan) DTSTART:20260213T163000Z DTEND:20260213T173000Z DTSTAMP:20260422T171848Z UID:CompMath/27 DESCRIPTION:Title: Open problems in Physical Mathematics\nby Gabriele Carcassi (Univers ity of Michigan) as part of Relatorium seminar\n\n\nAbstract\nPart of our larger Assumptions of Physics research program\, the aim of Physical Mathe matics is to develop a set of basic mathematical starting points with a cl ear and tight physical justification that can serve as a foundation for al l physical theories. The idea is to have a shared notion of states and pro cesses that can generalize features and theorems common to all physical th eories\, while finding the specific ones through addition of further physi cal assumptions. We will give a short overview of the approach and then fo cus on open problems and mathematical conjectures to foster discussion. In particular\, we will see how a physical theory must at least provide a sp ace of ensembles that must have a T_0 second countable topology\, a convex structure and an entropy. We will see how we can already show that the in terplay between this structure constrains the space\, leading to construct ions that find connection to many areas (e.g. measure theory\, Choquet the ory\, information geometry\, orthogonality spaces\, quantum logic\, ...) a nd we conjecture whether these axioms can already show that an ensemble sp ace is a bounded subset of a locally convex metrizable topological vector space\, or further conditions must be found.\n\nSpeaker bio: \nGabriele Ca rcassi is a researcher in the physics department of the University of Mich igan. Together with prof. Christine A. Aidala\, he leads a research progra m called Assumptions of Physics ( https://assumptionsofphysics.org ) that aims to find a minimum set of physical assumptions from which the laws can be rigorously rederived.\n\nModerator: Ted Theodosopoulos.\nTed is a math ematician who\, after working for years in academia and industry\, transit ioned to teaching at the pre-college level sixteen years ago\, the last ei ght at Nueva\, where he teaches math and economics. Ted’s research backg round is in the area of interacting stochastic systems\, with particular a pplications in biology and economics.\n LOCATION:https://researchseminars.org/talk/CompMath/27/ END:VEVENT END:VCALENDAR