Title: Continuity of the tropical Prym-Torelli map
Abstract: Given an étale double cover of smooth curves one can associate a principally polarised abelian variety called the Prym variety. In tropical geometry, the naive tropical definition of Prym variety does not behave well under degeneration. Recently, Röhle and Zakharov suggested a slightly different definition of the Prym, called the continuous Prym, that is more suitable for this problem. We give a more intrinsic approach on the construction of the continuous Prym and show that, as a consequence, the Prym-Torelli map from the moduli of double covers to the moduli of pptavs is a continuous map.
The advanced seminar begins at 4:00 pm s.t..