BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex Kuronya (Goethe-Universität Frankfurt) DTSTART:20240909T190000Z DTEND:20240909T200000Z DTSTAMP:20260406T161846Z UID:agstanford/149 DESCRIPTION:Title: Lattice polygons and finite generation of certain valuation semigroup s\nby Alex Kuronya (Goethe-Universität Frankfurt) as part of Stanford algebraic geometry seminar\n\nLecture held in 383-I (unusual room).\n\nAb stract\nThe main theme of the talk is the combinatorics of lattice polygon s and its relationship to the geometry of the associated toric surfaces. O ur point of view is to measure the complexity of lattice polygons via the complexity of geometric objects to which they give rise. For the latter\, we will focus on convex geometric finiteness properties such as the polyhe drality of the cone of curves or the finite generation of valuation semigr oups coming from Newton-Okounkov theory. The latter is a central (and wide open) question in combinatorial algebraic geometry with strong ties to r epresentation theory.\n\nAlthough the talk is in algebraic geometry\, vari ous parts of it will be understandable without much specialized knowledge from algebraic geometry. This is an account of joint work with Klaus Altma nn\, Christian Haase\, Karin Schaller\, and Lena Walter.\n LOCATION:https://researchseminars.org/talk/agstanford/149/ END:VEVENT END:VCALENDAR