### Patchworking oriented matroids

- Series
- Algebra Seminar
- Time
- Wednesday, October 28, 2020 - 15:30 for 1 hour (actually 50 minutes)
- Location
- https://bluejeans.com/751242993/PASSWORD (To receive the password, please email Lutz Warnke)
- Speaker
- Marcel Celaya – TU Berlin

A classical result on oriented matroids due to Folkman and Lawrence in

1978 states that they are in bijection with pseudosphere arrangements up

to cellular homeomorphism. A more recent result, conjectured by Ardila and

Develin in 2007 and proved by Silke Horn in 2016, states that a similar

result holds for tropical oriented matroids and tropical hyperplane

arrangements. In a joint work with Georg Loho and Chi Ho Yuen, we show how

to unify these two results based on a variant of Viro's patchworking

technique, generalized to complete intersections by Sturmfels, for a

certain class of uniform oriented matroids arising from a product of two

simplices.