On grids corresponding to number fields, their distribution, and a generalized Weyl theorem

Seminar
Speaker
Yuval Yifrach (Technion)
Date
23/03/2022 - 11:30 - 10:30Add to Calendar 2022-03-23 10:30:00 2022-03-23 11:30:00 On grids corresponding to number fields, their distribution, and a generalized Weyl theorem It was shown by M. Bhargava and P. Harron that for n=3,4,5, the shapes of rings of integers of S_n-number fields of degree n become equidistributed in a certain homogeneous space when the fields are ordered by absolute discriminant.  We present a family of analogous distribution questions in some family of torus bundles over the aforementioned homogeneous space and discuss their answers. Our main tool is a new high dimensional equidistribution result in the flavor of Weyl's equidistribution theorem and the work of Bhargava-Harron.   The details of this work appear in the ArXiv preprint  https://arxiv.org/abs/2201.10942 ================================================ https://us02web.zoom.us/j/87856132062 Meeting ID: 878 5613 2062 Third floor seminar room, Mathematics building, and on Zoom. See link below. אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room, Mathematics building, and on Zoom. See link below.
Abstract

It was shown by M. Bhargava and P. Harron that for n=3,4,5, the shapes of rings of integers of S_n-number fields of degree n become equidistributed in a certain homogeneous space when the fields are ordered by absolute discriminant.  We present a family of analogous distribution questions in some family of torus bundles over the aforementioned homogeneous space and discuss their answers. Our main tool is a new high dimensional equidistribution result in the flavor of Weyl's equidistribution theorem and the work of Bhargava-Harron.

 

The details of this work appear in the ArXiv preprint 
https://arxiv.org/abs/2201.10942

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https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062

Last Updated Date : 16/03/2022