Fyrirlesari: Giulio Cerbai, Raunvísindastofnun Háskóla Íslands
Titill: A combinatorial theory of transport of patterns
Staðsetning: Tg-227 í Tæknigarði
Tími: Fimmtudagur 24.febrúar kl. 10:30 / 3. mars kl. 10:30
Combinatorics study enumerative, algebraic and geometric properties of families of discrete objects. Some of them can be equipped with a notion of pattern containment. The resulting posets have been extensively studied, but few results that link different structures are known. Our work aims to develop a unifying theory of transport of patterns capable of handling various families of objects. By revealing links between combinatorial structures and providing new enumerative results, this would improve our global understanding of pattern avoidance.
In the second part of this seminar, we show numerous examples and applications of the proposed framework, as well as some related research directions. We also show how the Burge transpose can be used to provide a generalization of the Eulerian polynomial over Cayley permutations.