BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Emily Clader (San Francisco State University) DTSTART:20201120T170000Z DTEND:20201120T180000Z DTSTAMP:20260423T022930Z UID:UBC-AG/8 DESCRIPTION:Title: P ermutohedral Complexes and Curves With Cyclic Action\nby Emily Clader (San Francisco State University) as part of UBC Vancouver Algebraic Geomet ry Seminar\n\n\nAbstract\nAlthough the moduli space of genus-zero curves i s not a toric\nvariety\, it shares an intriguing amount of the combinatori al structure that a\ntoric variety would enjoy. In fact\, by adjusting the moduli problem slightly\,\none finds a moduli space that is indeed toric\ , known as Losev-Manin space. The\nassociated polytope is the permutohedro n\, which also encodes the\ngroup-theoretic structure of the symmetric gro up. Batyrev and Blume generalized\nthis story by constructing a "type-B" v ersion of Losev-Manin space\, whose\nassociated polytope is a signed permu tohedron that relates to the group of\nsigned permutations. In joint work in progress with C. Damiolini\, D. Huang\, S.\nLi\, and R. Ramadas\, we ca rry out the next stage of generalization\, defining a\nfamily of moduli sp ace of curves with Z_r action encoded by an associated\n"permutohedral com plex" for a more general complex reflection group\, which\nspecializes whe n r=2 to Batyrev and Blume's moduli space.\n LOCATION:https://researchseminars.org/talk/UBC-AG/8/ END:VEVENT END:VCALENDAR