BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pablo Cubides Kovacsics (Universidad de los Andes) DTSTART:20260924T180000Z DTEND:20260924T190000Z DTSTAMP:20260825T025048Z UID:OLS/222 DESCRIPTION:Title: On analytification over henselian valued fields\nby Pablo Cubides Kovacs ics (Universidad de los Andes) as part of Online logic seminar\n\nInteract ive livestream: https://zoom.us/j/122323340\n\nAbstract\nBerkovich's analy tification of an algebraic variety admits a model-theoretic avatar\, due t o Hrushovski and Loeser: the space of stably dominated types\, equivalentl y the definable types orthogonal to the value group\, working in ACVF\, th e theory of algebraically closed valued fields. In this talk I will descri be a common framework for analytification over a broad class of henselian valued fields of equicharacteristic zero for which the right object is aga in the space of definable types orthogonal to the value group. We realize this space inside a space of hyperfield points\, following a construction due to J. Jun. A single construction thereby recovers the Hrushovski–Loe ser analytification and the real analytification of Jell\, Scheiderer and Yu\, and yields a new analytification of $p$-adic semialgebraic sets. Thi s is joint work with Mariana Vicaría and Jinhe Ye.\n LOCATION:https://researchseminars.org/talk/OLS/222/ URL:https://zoom.us/j/122323340 END:VEVENT END:VCALENDAR