First steps in non-commutative dynamics over the quaternions and the octonions
Seminar
Speaker
Solomon Vishkautsan (Tel-Hai Academic College)
Date
29/05/2024 - 11:30 - 10:30Add to Calendar
2024-05-29 10:30:00
2024-05-29 11:30:00
First steps in non-commutative dynamics over the quaternions and the octonions
We present results on the dynamics of standard univariate polynomials over quaternions and octonions from an algebraic point of view. We look at periodic and fixed points and emphasize the need to carefully define what we mean by these terms when it comes to dynamics over non-commutative rings. For quadratic monics over the octonions, we provide criteria for classifying fixed points as attracting, repelling, or "ambivalent", generalizing the complex case. This is a joint work with Adam Chapman from the Academic College of Tel Aviv–Yaffo.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
Third floor seminar room and Zoom
אוניברסיטת בר-אילן - המחלקה למתמטיקה
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room and Zoom
Abstract
We present results on the dynamics of standard univariate polynomials over quaternions and octonions from an algebraic point of view. We look at periodic and fixed points and emphasize the need to carefully define what we mean by these terms when it comes to dynamics over non-commutative rings. For quadratic monics over the octonions, we provide criteria for classifying fixed points as attracting, repelling, or "ambivalent", generalizing the complex case. This is a joint work with Adam Chapman from the Academic College of Tel Aviv–Yaffo.
================================================
https://us02web.zoom.us/j/87856132062
Meeting ID: 878 5613 2062
תאריך עדכון אחרון : 21/05/2024
