Algebraic cycles on hyperkahler varieties

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Davesh Maulik, MIT
McDonnell Hall A01

Live Stream: https://youtube.com/live/lcmCHlLnGkc

There are many questions in algebraic geometry which require constructing algebraic cycles or vector bundles with special properties.  In the case of hyperkahler manifolds, Markman introduced a general approach for such constructions, using twistor families and Verbitsky's theory of hyperholomorphic bundles.  I will explain this technique and some conjectures for which it can be used.