![]() |
![]() |
University of Birmingham > Talks@bham > Algebra seminar > Character deflations, wreath products and Foulkes' Conjecture
![]() Character deflations, wreath products and Foulkes' ConjectureAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact David Craven. Foulkes’ Conjecture is one of the main open problems in algebraic combinatorics: it states that if a ≤ b then the permutation character of the symmetric group Sab acting on set partitions of a set of size ab into b sets each of size a contains the permutation character of Sab acting on set partitions of the same set into a sets each of size b. In my talk I will present a new approach to Foulkes’ Conjecture based on a deflation map that sends characters of the wreath product of Sa with Sb to characters of Sb. Our main result is a combinatorial rule for the values taken by these deflated character. This rule generalizes the Murnaghan–Nakayama rule and Young’s rule, and leads to a new algorithm for computing the irreducible constituents of Foulkes characters. Using this algorithm we have verified Foulkes’ Conjecture in several new cases, including all a, b such that a + b ≤ 18. This talk is on joint work with Anton Evseev and Rowena Paget. This talk is part of the Algebra seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
Other listsOptimisation and Numerical Analysis Seminars Biosciences seminars What's on in Physics?Other talksQuantum Sensing in Space Life : it’s out there, but what and why ? The tragic destiny of Mileva Marić Einstein TBA Waveform modelling and the importance of multipole asymmetry in Gravitational Wave astronomy TBC |