Seminar

Colloquium&Seminar

TOP
Number Theory Seminar
최고관리자 2024-09-13
  • Category

    Seminar

  • Date

    20240920 ~ 20240920

    Time

    14:00 ~ 15:00
  • Place

    Mathematics Building. #404

    Host

  • Speaker

    Jungtaek Hong

    Affiliation

    POSTECH

  • Subject

    Number Theory Seminar

  • Notice

    Title : Orbital integrals and ideal class monoids for a Bass order


    Speaker : Jungtaek Hong(POSTECH)


    Abstract: A Bass order is a certain subring of a number field. Majority of number fields contain infinitely many Bass orders. For example, any order of a number field which contains the maximal order of a subfield with degree 2 or whose discriminant is 4th-power-free in Z, is a Bass order.
    In this talk, I will explain a closed formula for the number of fractional ideals of a Bass order R, up to its invertible ideals, using the conductor of R. I will also explain explicit enumeration of all orders containing R. Our method is based on local-global argument and exhaustion argument, by using orbital integrals for gl_n as a mass formula. This is joint work with Sungmun Cho and Yuchan Lee.
닫기
로그인하셔야 본 서비스를 이용하실 수 있습니다.