• Beijing Algebraic Geometry Colloquium

    9th Meeting

    Saturday, October 14, 2017

    Room 77201, BICMR, PKU (Map)

    Algebraic Geometry Activities in China

    Site under construction...

  • Kevin Tucker

    (UIC)

    Bertini Theorems for F-signature

    09:00 – 10:00

    In characteristic zero, it is well known that multiplier ideals and log terminal singularities satisfy Bertini-type theorems for hyperplane sections. In characteristic p > 0, the analogous statements for test ideals are more complicated: while F-regular singularities satisfy Bertini, the test ideal does not. In this talk, I will describe joint work with Karl Schwede and Javier Carvajal-Rojas showing that the F-signature – a numerical invariant of singularities that detects F-regularity – satisfies the relevant Bertini statements for hyperplane sections. In particular, one can view this as a generalization of the corresponding results for F-regularity.

  • Roberto Svaldi

    (Cambridge)

    Log birational boundedness of Calabi-Yau pairs

    10:30 – 11:30

    I will discuss new results towards the birational boundedness of Calabi-Yau pairs. Recent work in the minimal model program suggests that pairs with trivial log canonical class should satisfy some boundedness properties.

     

    I will show that 4-dimensional Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded. This implies birational boundedness of elliptically fibered Calabi-Yau manifolds with a section, in dimension up to 5. This is joint work with Gabriele Di Cerbo.

  • Xuanyu Pan 潘宣余

    (AMSS, CAS)

    Cycles on Fano manifolds

    11:45 – 12:45

    In this talk, I will give a survey about cycles on Fano manifolds including a recent joint work with Cristian Minoccheri. The philosophy is that the positivity of the tangent bundle implies the simplicity of the cycle relations. At the end of this talk, I will talk about some speculation on 1-cycles on Fano manifolds.

  • Organized by

    Baohua Fu

    Xiaotao Sun

    Chenyang Xu

    Qizheng Yin

    Contact: Ms Meng Yu

    yumeng@math.pku.edu.cn

    +86 (10) 6274 4121

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