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POSTECH Representation Theory Seminar
최고관리자 2024-10-15
  • 분야

    세미나

  • 날짜

    20241024 ~ 20241024

    시간

    15:00 ~ 17:30
  • 장소

    Math building Room #213

    초청자

  • 연사

    Jaeseong Oh

    소속

    KIAS

  • 제목

    POSTECH Representation Theory Seminar

  • 소개 및 안내사항

    Title : Introduction to Macdonald polynomials


    Speaker : Dr. Jaeseong Oh (KIAS)


    Abstract : Macdonald polynomials form a distinguished basis for the ring of symmetric functions, with profound connections to combinatorics, geometry, representation theory, and probability. Over the past few decades, significant attention has been directed towards eigenoperators for Macdonald polynomials, such as the  operator and the action of the elliptic Hall algebra on symmetric functions. These developments have led to the celebrated (n+1)n1 theorem and the famous Shuffle Theorem, rich with elegant geometry and combinatorics, and have also uncovered fascinating links to knot homologies. In this lecture series, I will try to cover the following topics:

    1. Fundamentals of symmetric functions
    2. The Macdonald polynomials
    3. The Shuffle Theorem and the Science Fiction Conjecture
    4. The elliptic Hall algebra and Khovanov-Rozansky homology of knots
    * Organizers: Valentin Buciumas and Kyoung-Seog Lee
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