Ad­vanced Sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics"

WiSe 2024/2025

Location: D 2 314                    Time: 14:00 - 15:30

The seminar will take place regularly on wednesdays from October 9th, 2024.

Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Fa­bi­an Gund­lach (Pader­born), Sym­met­ries of the set of square­free in­tegers in a num­ber field

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Title: Symmetries of the set of squarefree integers in a number field 

Abstract: Let K be a number field. We answer the following question and several generalizations:
What are the Z-linear maps O_K -> O_K that send every squarefree algebraic integer to a squarefree algebraic integer?
In the talk at 11:15am, Michael Baake will introduce dynamical systems associated to k-free algebraic integers.
Our result can be used to determine when two such dynamical systems are topologically conjugate, and more generally when one is a factor system of another.

Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Fa­bi­an Gund­lach (Pader­born), Sym­met­ries of the set of square­free in­tegers in a num­ber field

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Title: Symmetries of the set of squarefree integers in a number field 

Abstract: Let K be a number field. We answer the following question and several generalizations:
What are the Z-linear maps O_K -> O_K that send every squarefree algebraic integer to a squarefree algebraic integer?
In the talk at 11:15am, Michael Baake will introduce dynamical systems associated to k-free algebraic integers.
Our result can be used to determine when two such dynamical systems are topologically conjugate, and more generally when one is a factor system of another.

Ober­sem­in­ar "Num­ber The­ory and Arith­met­ic­al Stat­ist­ics": Fa­bi­an Gund­lach (Pader­born), Sym­met­ries of the set of square­free in­tegers in a num­ber field

Location: A3.339
Organizer: Prof. Dr. Jürgen Klüners

Title: Symmetries of the set of squarefree integers in a number field 

Abstract: Let K be a number field. We answer the following question and several generalizations:
What are the Z-linear maps O_K -> O_K that send every squarefree algebraic integer to a squarefree algebraic integer?
In the talk at 11:15am, Michael Baake will introduce dynamical systems associated to k-free algebraic integers.
Our result can be used to determine when two such dynamical systems are topologically conjugate, and more generally when one is a factor system of another.