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Hung Hoang (TU Wien): Signotopes with few plus signs

Abstract:

Signotopes are combinatorial structures that generalise binarystrings, permutations, and simple pseudoline arrangements. Manin and Schechtman (1989) introduced the higher Bruhat order B(n,r) which is a natural partial order of the r-signotopes on n elements and a generalisation of the Boolean lattice and the weak Bruhat order of permutations. We show that the lower (and by symmetry upper) levels of the higher Bruhat order contain the same number of elements for a fixed
difference n − r. 

Joint work with Helena Bergold and Lukas Egeling

 

Vor dem Vortrag, ab 16.45 Uhr, gibt es wieder Kaffee und Tee im Raum 1404. Auch dazu sind alle herzlich eingeladen.

Viele Grüße,
Torsten Mütze

 

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