Examples of Degenerations of Frobenius Algebras

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• Daniel Kaplan, University of Birmingham
• Thursday 12 March 2020, 16:00-17:00
• Lecture Theatre B, Watson Building.

If you have a question about this talk, please contact Simon Goodwin.

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 Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• Lecture Theatre B, Watson Building
• School of Mathematics events

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