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A McKay correspondence in Donaldson-Thomas theory of Calabi-Yau 4-folds – Sergej Monavari (EPFL)

Donaldson-Thomas theory is classically defined for moduli spaces of sheaves over a Calabi-Yau threefold. Thanks to recent foundational work of Cao-Leung, Borisov-Joyce and Oh-Thomas, DT theory has been extended to Calabi-Yau 4-folds. We discuss how,…

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Regularization by noise of an averaged version of the Navier-Stokes equations – Theresa Lange (Bielefeld University)

In [T16], the author constructs an averaged version of the deterministic three-dimensional Navier-Stokes equations (3D NSE) which experiences blow-up in finite time. In the last decades, various works have studied suitable perturbations of ill-posed…

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Periods of Mixed Hodge Structures associated to algebraic cycles – Souvik Goswami (University of Barcelona)

Given a pair of algebraic cycles which are homologous to zero, and are in complimentary codimensions, R.Hain, S.Bloch, et.al., in the 1990s established a mixed Hodge structure associated to the pair. A period of this mixed Hodge structure is a real…

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