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:20261004T234137Z 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\n\nAbstra ct\nBerkovich's analytification of an algebraic variety admits a model-the oretic avatar\, due to Hrushovski and Loeser: the space of stably dominate d types\, equivalently the definable types orthogonal to the value group\, working in ACVF\, the theory of algebraically closed valued fields. In th is talk I will describe a common framework for analytification over a broa d class of henselian valued fields of equicharacteristic zero for which th e right object is again the space of definable types orthogonal to the val ue group. We realize this space inside a space of hyperfield points\, foll owing a construction due to J. Jun. A single construction thereby recovers the Hrushovski–Loeser analytification and the real analytification of J ell\, Scheiderer and Yu\, and yields a new analytification of $p$-adic sem ialgebraic sets. This is joint work with Mariana Vicaría and Jinhe Ye.\n LOCATION:https://researchseminars.org/talk/OLS/222/ END:VEVENT END:VCALENDAR