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Shafarevich Seminar
December 1, 2020 15:00, Moscow, online
 


Derived equivalences between hyperkähler varieties

L. Taelman
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MP4 453.2 Mb

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Abstract: We study equivalences D(X)–>D(Y) between the derived categories of coherent sheaves on complex hyperkähler varieties X and Y. An important tool is the Looijenga–Lunts–Verbitsky Lie algebra acting on the total cohomology of X. We show that this Lie algebra is preserved by derived equivalences, and deduce various consequences from this.
Based on arXiv:1906.08081.

Language: English
 
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