Algebraic Geometry Seminar

Eduardo de Lorenzo Poza, KU Leuven

Algebraic Geometry Seminar:Singularities via arc spaces and Floer homology

Given an isolated hypersurface singularity, the arc-Floer conjecture relates the cohomology of the associated contact loci with the Floer homology of the monodromy iterates. In this talk we will explain the origin of this conjecture and what is known about it, and we will explore the key ingredients of the proof of the conjecture in the cases of plane curve singularities and semihomogeneous singularities. This is joint work with Javier de la Bodega and Jiahui Huang.

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