BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alan Thompson (Loughborough University) DTSTART:20200924T150000Z DTEND:20200924T160000Z DTSTAMP:20260423T052931Z UID:ZAG/52 DESCRIPTION:Title: Mir ror symmetry for fibrations and degenerations\nby Alan Thompson (Lough borough University) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\n Abstract\nIn a 2004 paper\, Tyurin briefly hinted at a novel relationship between Calabi-Yau mirror symmetry and the Fano-LG correspondence. More sp ecifically\, if one can degenerate a Calabi-Yau manifold to a pair of (qua si-)Fanos\, then one expects to be able to express the mirror Calabi-Yau i n terms of the corresponding Landau-Ginzburg models. Some details of this correspondence were worked out by C. F. Doran\, A. Harder\, and I in a 201 7 paper\, but much remains mysterious. In this talk I will describe recent attempts to better understand this picture\, and how it hints at a broade r mirror symmetric correspondence between degeneration and fibration struc tures. As an example of this correspondence\, I will discuss the question of finding mirrors to certain exact sequences which describe the Hodge the ory of degenerations. The material in this talk is joint work in progress with C. F. Doran.\n LOCATION:https://researchseminars.org/talk/ZAG/52/ END:VEVENT END:VCALENDAR