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# Ergodic Theory and Dynamical Systems SeminarㅣOn the moment formulas for the primitive Siegel transform

기간 : 2023-05-10 ~ 2023-05-10
시간 : 16:00 ~ 17:00
주최
손영환
후원
KIAS
분야Field 날짜Date 2023-05-10 ~ 2023-05-10 16:00 ~ 17:00 손영환 Jiyoung Han KIAS Ergodic Theory and Dynamical Systems SeminarㅣOn the moment formulas for the primitive Siegel transform When we apply homogeneous dynamics to problems in the geometry of numbers, we first need to convert characteristic functions of Borel sets in vector spaces to functions on homogeneous spaces, and the Siegel transform is one of the classical tools for this. In this talk, I would like to introduce the definition of the primitive Siegel transform, which is related to counting primitive lattice points in the given bounded Borel set, and how to get its moment formulas 1) from those of the regular Siegel transform for the dimension being at least 3, and 2) by following the Schmidts’ work when the dimension is 2 (1960). Omri Sarig (Weizmann Institute) https://us02web.zoom.us/j/82314084603?pwd=MzNrRzc5TXl2NFZRTGNXUWd4dWNJQT09회의 ID: 823 1408 4603​암호: setds23​
학회명Field 날짜Date Ergodic Theory and Dynamical Systems SeminarㅣOn the moment formulas for the primitive Siegel transform 2023-05-10 ~ 2023-05-10 16:00 ~ 17:00 손영환 When we apply homogeneous dynamics to problems in the geometry of numbers, we first need to convert characteristic functions of Borel sets in vector spaces to functions on homogeneous spaces, and the Siegel transform is one of the classical tools for this. In this talk, I would like to introduce the definition of the primitive Siegel transform, which is related to counting primitive lattice points in the given bounded Borel set, and how to get its moment formulas 1) from those of the regular Siegel transform for the dimension being at least 3, and 2) by following the Schmidts’ work when the dimension is 2 (1960). Omri Sarig (Weizmann Institute) https://us02web.zoom.us/j/82314084603?pwd=MzNrRzc5TXl2NFZRTGNXUWd4dWNJQT09회의 ID: 823 1408 4603​암호: setds23​
성명Field 날짜Date Ergodic Theory and Dynamical Systems SeminarㅣOn the moment formulas for the primitive Siegel transform 2023-05-10 ~ 2023-05-10 16:00 ~ 17:00 KIAS 손영환 When we apply homogeneous dynamics to problems in the geometry of numbers, we first need to convert characteristic functions of Borel sets in vector spaces to functions on homogeneous spaces, and the Siegel transform is one of the classical tools for this. In this talk, I would like to introduce the definition of the primitive Siegel transform, which is related to counting primitive lattice points in the given bounded Borel set, and how to get its moment formulas 1) from those of the regular Siegel transform for the dimension being at least 3, and 2) by following the Schmidts’ work when the dimension is 2 (1960). Omri Sarig (Weizmann Institute) https://us02web.zoom.us/j/82314084603?pwd=MzNrRzc5TXl2NFZRTGNXUWd4dWNJQT09회의 ID: 823 1408 4603​암호: setds23​
성명Field 날짜Date Ergodic Theory and Dynamical Systems SeminarㅣOn the moment formulas for the primitive Siegel transform 2023-05-10 ~ 2023-05-10 16:00 ~ 17:00 Jiyoung Han 손영환 KIAS When we apply homogeneous dynamics to problems in the geometry of numbers, we first need to convert characteristic functions of Borel sets in vector spaces to functions on homogeneous spaces, and the Siegel transform is one of the classical tools for this. In this talk, I would like to introduce the definition of the primitive Siegel transform, which is related to counting primitive lattice points in the given bounded Borel set, and how to get its moment formulas 1) from those of the regular Siegel transform for the dimension being at least 3, and 2) by following the Schmidts’ work when the dimension is 2 (1960). Omri Sarig (Weizmann Institute) https://us02web.zoom.us/j/82314084603?pwd=MzNrRzc5TXl2NFZRTGNXUWd4dWNJQT09회의 ID: 823 1408 4603​암호: setds23​
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