BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Victoria Schleis (Universität Tübingen) DTSTART:20230203T130000Z DTEND:20230203T140000Z DTSTAMP:20260422T172515Z UID:TGiZ/47 DESCRIPTION:Title: Li near degenerate tropical flag matroids\nby Victoria Schleis (Universit ät Tübingen) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\n Abstract\nGrassmannians and flag varieties are important moduli spaces in algebraic geometry. Their\nlinear degenerations arise in representation th eory as they describe quiver representations\nand their irreducible module s. As linear degenerations of flag varieties are difficult to\nanalyze alg ebraically\, we describe them in a combinatorial setting and further inves tigate\ntheir tropical counterparts.\n\nIn this talk\, I will introduce ma troidal\, polyhedral and tropical analoga and descriptions of linear degen erate flags and their varieties obtained in joint work with Alessio Borzì . To this end\, we introduce and study morphisms of valuated matroids. Usi ng techniques from matroid theory\, polyhedral geometry and linear tropica l geometry\, we use the correspondences between the different descriptions to gain insight on the structure of linear degeneration. Further\, we ana lyze the structure of linear degenerate flag varieties in all three settin gs\, and provide some cover relations on the poset of degenerations. For s mall examples\, we relate the observations on cover relations to the flat irreducible locus studied in representation theory.\n LOCATION:https://researchseminars.org/talk/TGiZ/47/ END:VEVENT END:VCALENDAR