BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dhruv Ranganathan (Cambridge) DTSTART:20210805T120000Z DTEND:20210805T130000Z DTSTAMP:20260423T024804Z UID:notts_ag/71 DESCRIPTION:Title: Toric contact cycles in the moduli space of curves\nby Dhruv Rangana than (Cambridge) as part of Online Nottingham algebraic geometry seminar\n \n\nAbstract\nThe toric contact cycles are loci in the moduli space of cur ves that parameterize those curves that admit a morphism to a fixed toric variety\, with prescribed tangency data with the toric boundary. The cycle s are the fundamental building blocks in higher genus logarithmic Gromov-W itten theory and are higher dimensional analogues of the double ramificati on cycles\, which have been studied intensely in the last decade. In recen t work\, Sam Molcho (ETH) and I proved that these cycles lie in the tautol ogical part of the Chow ring of the moduli space of curves. A lesson I lea rned from this project\, and earlier work with Navid Nabijou (Cambridge)\, is that it can be quite profitable to blend Fulton’s analysis of blowup s and strict transforms with logarithmic Gromov-Witten theory and its virt ual class. I’ll try to give a sense of the basic geometric phenomena\, a nd point to some other places where they come up.\n LOCATION:https://researchseminars.org/talk/notts_ag/71/ END:VEVENT END:VCALENDAR