Spaces with vanishing characteristic coefficients

Seminar
Speaker
Adam Chapman (Academic College of Tel-Aviv-Yaffo)
Date
15/05/2024 - 11:30 - 10:30Add to Calendar 2024-05-15 10:30:00 2024-05-15 11:30:00 Spaces with vanishing characteristic coefficients We study subspaces of central simple algebras where some of the characteristic coefficients vanish.  The main result is that in the generic tensor product of n cyclic algebras of degree p over a field F, the maximal dimension of a space over which the first p-1 characteristic coefficients vanish is (p^{2n} - 1)/(p-1).     The result is obtained by a neat combinatorial observation communicated to the speaker by Terence Tao and Gjergji Zaimi via math overflow. ================================================ https://us02web.zoom.us/j/87856132062 Meeting ID: 878 5613 2062   Third floor seminar room and Zoom אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room and Zoom
Abstract

We study subspaces of central simple algebras where some of the characteristic coefficients vanish.  The main result is that in the generic tensor product of n cyclic algebras of degree p over a field F, the maximal dimension of a space over which the first p-1 characteristic coefficients vanish is (p^{2n} - 1)/(p-1).  

 

The result is obtained by a neat combinatorial observation communicated to the speaker by Terence Tao and Gjergji Zaimi via math overflow.

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

Meeting ID: 878 5613 2062

 

Last Updated Date : 06/05/2024