BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Enrica Mazzon (Bonn) DTSTART:20210211T110000Z DTEND:20210211T120000Z DTSTAMP:20260423T005759Z UID:notts_ag/45 DESCRIPTION:Title: Non-archimedean approach to mirror symmetry and to degenerations of vari eties\nby Enrica Mazzon (Bonn) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract\nMirror symmetry is a fast-moving research area at the boundary between mathematics and theoretical physics. Originat ed from observations in string theory\, it suggests that complex Calabi-Ya u manifolds should come in mirror pairs\, in the sense that geometrical in formation of a Calabi-Yau manifold can be read through invariants of its m irror.\n\nIn the first part of the talk\, I will introduce some geometrica l ideas inspired by mirror symmetry. In particular\, I will go through the main steps which relate mirror symmetry to non-archimedean geometry and t he theory of Berkovich spaces.\n\nIn the second part\, I will describe a c ombinatorial object\, the so-called dual complex of a degeneration of vari eties. This emerges in many contexts of algebraic geometry\, including mir ror symmetry where moreover it comes equipped with an integral affine stru cture. I will show how the techniques of Berkovich geometry give a new ins ight into the study of dual complexes and their integral affine structure. This is based on a joint work with Morgan Brown and a work in progress wi th Léonard Pille-Schneider.\n LOCATION:https://researchseminars.org/talk/notts_ag/45/ END:VEVENT END:VCALENDAR