University of Birmingham > Talks@bham > Birmingham and Warwick Algebra Seminar  > Examples of Degenerations of Frobenius Algebras

Examples of Degenerations of Frobenius Algebras

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Deformation theory of algebras was initiated by Gerstenhaber following Hochschild and his ideas are now ubiquitous across mathematics. Unfortunately, the subject can be uninviting—often cited for its most formidable results: Kontsevich formality, Belinson-Bernstein localization, and Drinfeld and Jumbo’s pioneering work on quantum groups. In this talk, I’ll give an elementary introduction to deformation theory of algebras through examples. Then I’ll give a crash course on Frobenius algebras and observe that: (1) a Frobenius algebra always deforms to a Frobenius algebra but (2) a Frobenius algebra can degenerate to a non-Frobenius algebra. Finally, I’ll show that every Frobenius algebra can be realized as a deformation of a “most degenerate” class of Frobenius algebras

This talk is part of the Birmingham and Warwick Algebra Seminar series.

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