# Manchester Geometry Seminar 2014/2015

Wednesday 27 May 2015. Extra session. Room TBA. 4pm

## Darboux Transformations for Differential Operators on the Superline Ekaterina Shemyakova (SUNY New Paltz)

shemyake@newpaltz.edu

We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators factorizes into elementary Darboux transformations of order one. Similar statement holds for operators on the ordinary line. (Joint work with Ted Voronov and my student Sean Hill.)