BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ben Church (Stanford University) DTSTART:20230609T190000Z DTEND:20230609T200000Z DTSTAMP:20260407T214858Z UID:agstanford/118 DESCRIPTION:Title: Frames of 1-forms on varieties and maps to abelian varieties\nby Ben Church (Stanford University) as part of Stanford algebraic geometry se minar\n\nLecture held in 383-N.\n\nAbstract\nA fruitful question in comple x algebraic geometry is how much the global 1-forms on a variety constrain s its geometry. The foundational work of Popa and Schnell shows that if a variety admits a nowhere vanishing 1-form then it cannot be general type. We build off this theorem to consider varieties X admitting a frame of g e verywhere independent 1-forms. This property heavily constrains the birati onal type of X. Under additional hypotheses that ensure X is "as general t ype as possible\," we prove that X is a smooth isotrivial fibration over a n abelian variety. Our methods also verify certain conjectures about the e xistence and structure of smooth maps to abelian varieties for source vari eties with large Kodaira dimensions. This is joint work with Nathan Chen a nd Feng Hao.\n LOCATION:https://researchseminars.org/talk/agstanford/118/ END:VEVENT END:VCALENDAR