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