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Detecting suitable limits of varieties

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EMGW04 - K-stability and moment maps

I will talk about Kollár-stability for families of varieties, based on joint work with Fedorchuk and Krylov. Beyond that, I discuss explicit cases and what the stability implies if one allows base change. Choosing the right stability condition makes fruitful connections to K-stability, which I will explore. Time allowing, I demonstrate some examples in the K-moduli of Fano threefolds.

This talk is part of the Isaac Newton Institute Seminar Series series.

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