Fukaya categories of singularities on quotient spaces

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• Ilaria Di Dedda, Imperial College
• Friday 12 May 2023, 16:00-17:00
• MR13.

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Given a symplectic manifold $X$ and an isolated singularity $f: X \to \mathbb{C}$ (compatible with the symplectic structure), one can define the associated Fukaya-Seidel category $F(f)$, a natural derived invariant of $f$. If, additionally, one equips $X$ with the action of a finite group $G$ and considers a singularity $f$ equivariant with respect to this action, one can define the Fukaya-Seidel category associated to the singularity $f’: X/G \to \mathbb{C}$. In this talk we will define, compute and relate the respective Fukaya-Seidel categories $F(f)$ and $F(f’)$ when $X=\mathbb{C}^d$, $G$ is the symmetric group $S_d$ and $f$ is a Brieskorn-Pham polynomial.

This talk is part of the Junior Geometry Seminar series.

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