Algebra Seminar

DATE2016-06-23 15:10-16:00

PLACE數學館 3F 會議室

SPEAKERChi-Kwong Li 教授(College of William and Mary

TITLELinear Algebra Problems over Fields and Rings Arising in Applications

ABSTRACT Motivated by problems in theoretical and applied problems arising in dynamical systems and quantum algorithms, we consider the following linear algebra problems over finite fields and rings 1) Finding interpolating polynomials in $Z_n$. 2) Characterizing matrices over $Z_n$ such that $A^m = A$. 3) Determining the probability of a vector in $F^n$ in a certain subset with special structure.