Heilbronn Algebra Seminar - Lleonard Rubio y Degrassi
| Dates: | 10 March 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: | Lleonard Rubio y Degrassi |
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Title: Outer derivations on blocks of group algebras
Abstract : Let G be a finite group and let k be a field whose characteristic divides the order of G. The derivation problem for group algebras asks whether HH^1(kG):=Der(kG)/Inn(kG), the space of k-linear derivations modulo inner derivations, is nonzero. Fleischmann, Janiszczak, and Lempken proved that kG always possesses a non-inner derivation in this case.
Linckelmann posed a blockwise version of this result as a conjecture: if B is a non-semisimple block of the group algebra kG, then HH^1(B) is nonzero. In this talk, I will focus on recent advances on this conjecture. This is all joint work with Benjamin Briggs.
Speaker
Lleonard Rubio y Degrassi
Organisation: University of Padua
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
