Heilbronn Algebra Seminar - Eoghan McDowell
| Dates: | 10 February 2026 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Eoghan McDowell |
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Title: Zeros of characters of symmetric groups
Abstract: Interest in zeros of characters stretches back to Burnside's classical result that every non-linear character has a zero, and persists to this day in open problems such as Moretó–Rizo's proposed generalisation of the McKay conjecture. Zeros of characters of the symmetric group are connected to the hook structure of partitions via the Murnaghan–Nakayama rule. I will present joint work with Giannelli and Law in which we prove that the zero values on just the Sylow subgroups suffices to determine the degree of an irreducible character of the symmetric group (and a best possible analogue for the alternating group).
Speaker
Eoghan McDowell
Organisation: University of Bristol
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
