Algebra Seminar DATE 2016-06-23¡@15:10-16:00 PLACE ¼Æ¾ÇÀ] 3F ·|Ä³«Ç SPEAKER Chi-Kwong Li ±Ð±Â¡]College of William and Mary¡^ TITLE Linear 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.