USNA Mathematics Department seminar

The talks for the academic year 1998-99 are held in Chauvenet 116 at 3:45 pm unless otherwise stated.

Speaker:

Geoff Price

USNA

Title:

The structure of binary shifts

Abstract: The binary shifts are a family of shifts on a finite von Neumann algebra which are indexed by bitstreams of 0's and 1's. Using properties of Toeplitz matrices over finite fields makes it possible to classify binary shifts of minimal commutant index up to conjugacy. The conjugacy classes are indexed by polynomials over GF(2) with no reciprocal (i.e., palindrome) factors.

Time: Wednesday, March 17, 1999

Reception at 3:30 in the common room on the 3rd floor of Chauvenet Hall.