Programm des Emmy-Noether-Seminars

Fri, 30.06.2017, 14:30

End:
Fri, 30.06.2017, 15:30
Parking Spaces and Catalan Combinatorics for complex reflection groups
Emmy-Noether-Seminar

Speaker: Dr. Martina Lanini (Roma Tor Vergata)
Host: Fiebig
Room: 04.363

Recently, Armstrong, Reiner and Rhoades associated with any (well generated) complex reflection group two parking spaces, and conjectured their isomorphism. This has to be seen as a generalisation of the bijection between non-crossing and non-nesting partitions, both counted by the Catalan numbers. In this talk, I will review the conjecture and discuss a new approach towards its proof, based on the geometry of the discriminant of a complex reflection group. This is an ongoing joint project with Iain Gordon.