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Derived categories and rationality of conic bundles

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If you have a question about this talk, please contact Mustapha Amrani .

Moduli Spaces

In this talk I present a joint work with Marcello Bernardara where we show that a standard conic bundle on a rational minimal surface is rational if and only if its derived category admits a semiothogonal decomposition via derived categories of smooth projective curves and exceptional objects. In particular, even if the surface is not minimal, such a decomposition allows to reconstruct the intermediate Jacobian as the direct sum of the Jacobian of those curves.

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

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Rayleigh Seminar Room, Maxwell Building, West Cambridge Webinar & FW26, Computer Laboratory, William Gates Building. CRASSH, 17 Mill Lane, Cambridge, CB2 1RX.

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