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Algebraic Geometry Seminar

The algebraic geometry seminar in Term 2 2021/22 will usually meet on Wednesdays at 3pm, though we will sometimes change to allow speakers from other time zones.

See the talks from last year here.

Wednesday 2 February 2022, 3pm. Speaker: Chunyi Li (Warwick)

Title: Bridgeland stability conditions on the Hilbert scheme of K3 surfaces.

Abstract: Let E be an elliptic curve and S be the Kummer K3 surface associated with E\times E. We construct a family of stability conditions on Hilb^nS with the central charges -ch_{2n}^{b+ia} parameterized by a>0 and b. In the talk, I will explain the background of the construction of stability conditions and some recent techniques introduced in the project. This is an ongoing project joint with Emanuele Macrì, Paolo Stellari, and Xiaolei Zhao.

Wednesday 9 February 2022, 3pm. Speaker: Kristian Ranestad (Oslo)

Title: Betti tables of quaternary quartics and arithmetic Gorenstein Calabi-Yau threefolds in P7.

Abstract: The possible betti tables of the apolar ideal of quartic forms in four variables define a stratification of the space of such forms. An Artinian reduction by linear forms of the ideal of an arithmetic Gorenstein Calabi-Yau threefold in P7 is the apolar ideal of a quartic form. A natural question is which quartic forms appear this way from possibly reducible CY threefolds. I will report on recent work with G. and M. Kapustka, M. Stilmann, H. Schenk and B. Yuan which recovers and extends some recent results by Patience Ablett.

Wednesday 9 March, 3pm. Speaker: Zheng Hua