A Course on Saito Theory

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Schedule

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  • Tuesday January 12th, 2021

    Hodge Ideals and Spectrum of Isolated Hypersurface Singularities - Overview

    Dr. Youngho Yoon
    Sungkyunkwan University

    4:00pm - 5:00pm
    Via Zoom
    Click here to view video

    Abstract: This is a series of talks on the paper, Hodge ideals and spectrum of isolated hypersurface singularities, by Seung-Jo Jung, In-Kyun Kim, Morihiko Saito and Youngho Yoon. The spectrum is an important analytic invariant of hypersurface singularities and Hodge ideals are ideal sheaves regarded as a generalization of multiplier ideals. Nero Budur and Morihiko Saito found a relation between spectrum and multiplier ideals. We extend their result to Hodge ideals in case of isolated singularities.


    Hodge Ideals and Spectrum of Isolated Hypersurface Singularities - Hodge Ideals

    Dr. Seung-Jo Jung
    Jeonbuk National University

    5:00pm - 6:00pm
    Via Zoom

    Abstract: This is a series of talks on the paper, Hodge ideals and spectrum of isolated hypersurface singularities, by Seung-Jo Jung, In-Kyun Kim, Morihiko Saito and Youngho Yoon. The spectrum is an important analytic invariant of hypersurface singularities and Hodge ideals are ideal sheaves regarded as a generalization of multiplier ideals. Nero Budur and Morihiko Saito found a relation between spectrum and multiplier ideals. We extend their result to Hodge ideals in case of isolated singularities.

     

  • Wednesday January 13th, 2021

    Hodge Ideals and Spectrum of Isolated Hypersurface Singularities - Spectrum

    Dr. Youngho Yoon
    Sungkyunkwan University

    4:00pm - 5:00pm
    Via Zoom
    Click here to view video

    Abstract: This is a series of talks on the paper, Hodge ideals and spectrum of isolated hypersurface singularities, by Seung-Jo Jung, In-Kyun Kim, Morihiko Saito and Youngho Yoon. The spectrum is an important analytic invariant of hypersurface singularities and Hodge ideals are ideal sheaves regarded as a generalization of multiplier ideals. Nero Budur and Morihiko Saito found a relation between spectrum and multiplier ideals. We extend their result to Hodge ideals in case of isolated singularities.


    Hodge Ideals and Spectrum of Isolated Hypersurface Singularities - Examples

    Dr. In-Kyun Kim
    Yonsei University

    5:00pm - 6:00pm
    Via Zoom

    Abstract: This is a series of talks on the paper, Hodge ideals and spectrum of isolated hypersurface singularities, by Seung-Jo Jung, In-Kyun Kim, Morihiko Saito and Youngho Yoon. The spectrum is an important analytic invariant of hypersurface singularities and Hodge ideals are ideal sheaves regarded as a generalization of multiplier ideals. Nero Budur and Morihiko Saito found a relation between spectrum and multiplier ideals. We extend their result to Hodge ideals in case of isolated singularities.