# 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