BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Daniele Angella (Università di Firenze) DTSTART:20240313T100000Z DTEND:20240313T110000Z DTSTAMP:20260423T021058Z UID:CompAlg/32 DESCRIPTION:Title: Constructing and Machine Learning Calabi-Yau Five-Folds\nby Daniele A ngella (Università di Firenze) as part of Machine Learning Seminar\n\n\nA bstract\nThe significance of Calabi-Yau manifolds transcends both Complex Geometry and String Theory. One possible approach to constructing Calabi-Y au manifolds involves intersecting hypersurfaces within the product of pro jective spaces\, defined by polynomials of a specific degree. We show a me thod to construct all possible complete intersections Calabi-Yau five-fol ds within a product of four or less complex projective spaces\, with up to four constraints. This results in a comprehensive set of 27\,068 distinct spaces. For approximately half of these constructions\, excluding the pro duct spaces\, we can compute the cohomological data\, yielding 2\,375 dist inct Hodge diamonds. We present distributions of the invariants and engage in a comparative analysis with their lower-dimensional counterparts. Supe rvised machine learning techniques are applied to the cohomological data. The Hodge number $h^{1\,1}$ can be learnt with high efficiency\; however\, accuracy diminishes for other Hodge numbers due to the extensive ranges o f potential values. The talk is a joint collaboration with Rashid Alawadhi \, Andrea Leonardo\, and Tancredi Schettini Gherardini.\n LOCATION:https://researchseminars.org/talk/CompAlg/32/ END:VEVENT END:VCALENDAR