Feng Hao, Purdue University

April 18, 2018 - 4:00pm to 5:30pm

Cupples I, Room 199

*Abstract: For a stable degeneration of curves on a disk, there exists a limiting mixed Hodge structure, as the limit of Hodge structures over smooth fibers. On the other hand, Deligne gives an equivalence of categories between the category of mixed Hodge structures of level 1 (containing the limiting mixed Hodge structure for a degeneration of curves) and the category 1-motives. In this talk, I will give a geometric description of the 1-motive corresponding to the limiting mixed Hodge structure for a degeneration of curves, using Steenbrink's theory.*

*Host: Matt Kerr*