Number Theory Seminar
최고관리자
2024-09-13
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분야
세미나
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날짜
20240920 ~ 20240920시간
14:00 ~ 15:00 -
장소
Mathematics Building. #404
초청자
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연사
Jungtaek Hong
소속
POSTECH
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제목
Number Theory Seminar
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소개 및 안내사항
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.
