Valuated Delta Matroids and Principal Minors

Delta matroids are a generalization of matroids, encompassing combinatorial structures such as matchings of graphs and principal minors of symmetric matrices. In this talk, I will discuss a notion of valuated Delta matroids and their representability by the principal minors of Hermitian matrices over valued fields. This generalizes work of Rincón on even Delta matroids and skew symmetric matrices. This talk is based on joint work with Nathan Cheung, Tracy Chin, and Gaku Liu.