Abstract for the talk on 21.11.2017 (11:00 h)

Seminar on Nonlinear Algebra

Emanuele Delucchi (Université de Fribourg)
Not really linear algebra

Matroids over hyperfields, introduced by Baker and Bowler in 2016, offer a new unifying vision encompassing matroids, vector spaces, and related ideas in tropical geometry. The key tool are hyperfields, i.e., algebraic structures akin to fields — but with multivalued addition.

In this talk I will define matroids over hyperfields, present some examples (especially as related to tropical geometry and oriented matroids) and I will discuss some of the first results in this very young subject (which can be understood as looking for a “linear algebra” over hyperfields). The exposition will not presuppose any special previous knowledge.

 

23.11.2017, 02:20