The recent progress on LLV-decomposition

Nikon Kurnosov (University of the West of Scotland)

Wednesday 15th November, 2023 16:00-17:00 Maths 110


I will speak about the structure of cohomology of hyperkahler manifolds, and as this topic attracts huge attention and has a lot of thing to discuss, I will mainly focus on the bounds for b_2. I will start with a short introduction on the main tools involved: LLV-decomposition, Rozansky-Witten invariants. And then I will speak on the older result of Verbitsky-Soldatenkov and myself on the generalized Kuga-Satake construction and recent progress made by Green-Kim-Laza-Robles, Sawon and myself.

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