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The Donaldson-Uhlenbeck-Yau theorem describes a deep relationship between holomorphic vector bundles on Kähler manifolds and solutions to certain partial differential equations. I will report on progress towards formulating and proving an analogue of this theorem in categorical noncommutative geometry. This talk is based on joint work with Fabian Haiden, Ludmil Katzarkov, and Maxim Kontsevich.

Zoom uygulaması Bilim Akademisi tarafından sağlanmaktadır./Zoom link is provided by The Science Academy