BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Emily Clader (SFSU) DTSTART:20220114T200000Z DTEND:20220114T210000Z DTSTAMP:20260407T214441Z UID:agstanford/74 DESCRIPTION:Title: Permutohedral complexes and rational curves with cyclic action\nby Emily Clader (SFSU) as part of Stanford algebraic geometry seminar\n\n\nA bstract\nAlthough the moduli space of genus-zero curves is not toric\, it shares an intriguing amount of the combinatorial structure that a toric va riety would enjoy. In fact\, by adjusting the moduli problem slightly\, o ne finds a moduli space that is indeed toric\, known as Losev-Manin space. The associated polytope is the permutohedron\, which also encodes the gr oup-theoretic structure of the symmetric group. Batyrev and Blume general ized this story by constructing a type-B version of Losev-Manin space\, wh ose associated polytope is a signed permutohedron that relates to the grou p of signed permutations. In joint work with C. Damiolini\, D. Huang\, S. Li\, and R. Ramadas\, we carry out the next stage of generalization\, def ining a family of moduli spaces of rational curves with Z_r action encoded by an associated "permutohedral complex" for a more general complex refle ction group\, which specializes when r=2 to Batyrev and Blume's moduli spa ce.\n\nThe synchronous discussion for Emily Clader’s talk is taking plac e not in zoom-chat\, but at https://tinyurl.com/2022-01-14-ec (and will be deleted after ~3-7 days).\n LOCATION:https://researchseminars.org/talk/agstanford/74/ END:VEVENT END:VCALENDAR