Seminars: V. L. Popov, Root systems and root lattices in number fields

SEMINARS


September 24, 2019, XVII International Conference Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history dedicated to the centenary of the birth of professor N. I. Feldman and the ninetieth anniversary of the birth of professors A. I. Vinogradov, A. V. Malyshev and B. F. Skubenko, TSPU of Leo Tolstoy, Tula, September 23–28, 2019

Root systems and root lattices in number fields V. L. Popov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract: In the talk, the results obtained by the author jointly with Yu. G. Zarhin on the realization of root systems in number fields and on the realization of lattices similar to root ones as lattices of all integer elements of number fields equipped with a twisted trace form are presented.