Ritt decompositions --- the known, unknown, and their applications

Speaker
Dr. Danny Neftin, Technion
Date
14/01/2018 - 13:00 - 12:00Add to Calendar 2018-01-14 12:00:00 2018-01-14 13:00:00 Ritt decompositions --- the known, unknown, and their applications Many properties of rational functions f arising from problems in number theory, dynamics, and complex analysis, can be studied by writing f as a composition f_1 o ... o f_r, where the f_i's are indecomposable rational functions, i.e. cannot be decomposed nontrivially further. However basic questions such as determining the relationship between two such decompositions of f remain unknown. We shall describe progress towards a description and its applications to various problems.  Colloquium room, Mathematics Dept. building 216 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Colloquium room, Mathematics Dept. building 216
Abstract

Many properties of rational functions f arising from problems in number theory, dynamics, and complex analysis, can be studied by writing f as a composition f_1 o ... o f_r, where the f_i's are indecomposable rational functions, i.e. cannot be decomposed nontrivially further. However basic questions such as determining the relationship between two such decompositions of f remain unknown. We shall describe progress towards a description and its applications to various problems. 

תאריך עדכון אחרון : 10/01/2018