Weyl groups and root systems in number fields
Seminar
Speaker
Prof. Yuri Zarhin (Pennsylvania State University)
Date
08/01/2020 - 12:00 - 11:00Add to Calendar
2020-01-08 11:00:00
2020-01-08 12:00:00
Weyl groups and root systems in number fields
We classify the types of root systems R in the rings of integers O_K of number fields K such that the Weyl
group W(R) lies in the group generated by field automorphisms and multiplications by nonzero elements of K.
We also classify number fields K such that the lattice O_K provided with a trace-like form is isometric or similar to a root lattice.
This is a report on a joint work with Vladimir Popov (Steklov Institute, Moscow).
Third floor seminar room (room 201, building 216)
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room (room 201, building 216)
Abstract
We classify the types of root systems R in the rings of integers O_K of number fields K such that the Weyl
group W(R) lies in the group generated by field automorphisms and multiplications by nonzero elements of K.
We also classify number fields K such that the lattice O_K provided with a trace-like form is isometric or similar to a root lattice.
This is a report on a joint work with Vladimir Popov (Steklov Institute, Moscow).
Last Updated Date : 12/12/2019
