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Unstable Bundles and Twisted Brill-Noether Theor

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EMG - New equivariant methods in algebraic and differential geometry

It is well known that one of the challenges in having algebraic varieties as moduli spaces is that the objects under consideration often have non-trivial endomorphisms. In this talk, I will show that by fixing the algebra of endomorphisms of unstable vector bundles, it becomes feasible to construct moduli spaces that are (quasi)-projective varieties. The existence of such moduli spaces is closely related to Twisted Brill-Noether Theory and Butler’s conjecture.

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

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