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.
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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
