BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Diana Carolina Montoya (Technische Universität Wien) DTSTART:20231130T190000Z DTEND:20231130T200000Z DTSTAMP:20260423T052924Z UID:OLS/138 DESCRIPTION:Title: Ca rdinal characteristics and singular cardinals\nby Diana Carolina Monto ya (Technische Universität Wien) as part of Online logic seminar\n\n\nAbs tract\nThroughout the last few years\, many generalizations from classical cardinal characteristics of the Baire space have been studied. Special in terest has been given to the study of the combinatorics of the generalized Baire spaces $\\kappa^\\kappa$ when $\\kappa$ is an uncountable regular c ardinal (or even a large cardinal) but lately\, the generalization to sing ular cardinals has also been the focus of interest. In this talk\, I will present first the motivation within Set Theory to study these kinds of que stions and afterward some results regarding a generalization to the contex t of singular cardinals of the concepts of maximal almost disjoint and max imal independence families and point out the differences concerning the re gular case. Finally\, I will mention the open questions and possible futur e research paths in this area.\n LOCATION:https://researchseminars.org/talk/OLS/138/ END:VEVENT END:VCALENDAR