BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Federico Ardila (San Francisco State University) DTSTART:20230411T190000Z DTEND:20230411T200000Z DTSTAMP:20260423T040151Z UID:Matroids/48 DESCRIPTION:Title: Combinatorial Intersection Theory: A Few Examples\nby Federico Ardil a (San Francisco State University) as part of Matroids - Combinatorics\, A lgebra and Geometry Seminar\n\nLecture held in Room 210 The Fields Institu te.\n\nAbstract\nIntersection theory studies how subvarieties of an algebr aic variety X intersect. Algebraically\, this information is encoded in th e Chow ring A(X). When X is the toric variety of a simplicial fan\, Brion gave a presentation of A(X) in terms of generators and relations\, and Ful ton and Sturmfels gave a ""fan displacement rule” to intersect classes i n A(X)\, which holds more generally in tropical intersection theory. In th ese settings\, intersection theoretic questions translate to algebraic com binatorial computations in one point of view\, or to polyhedral combinator ial questions in the other. Both of these paths lead to interesting combin atorial problems\, and in some cases\, they are important ingredients in t he proofs of long-standing conjectural inequalities.\n\nThis talk will sur vey a few problems on matroids and root systems that arise in combinatoria l intersection theory. It will feature joint work with Montse Cordero\, Gr aham Denham\, Chris Eur\, June Huh\, Carly Klivans\, and Raúl Penaguião. The talk will not assume previous knowledge of the words in the abstract. \n LOCATION:https://researchseminars.org/talk/Matroids/48/ END:VEVENT END:VCALENDAR