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Lethbridge Number Theory and Combinatorics Seminar
Date:
February 12, 2018
Time:
12:00-12:50pm
Lecturer(s):
Ha Tran (University of Calgary)
Location:
University of Lethbridge
Topic:
Reduced Ideals from the Reduction Algorithm
Description (in plain text format):
Reduced ideals of a number field F have inverses of small norms and they form a finite and regularly distributed set in the infrastructure of F. Therefore, they can be used to compute the regulator and the class number of a number field. One usually applies the reduction algorithm to find them. Ideals obtained from this algorithm are called 1-reduced. There exist reduced ideals that are not 1-reduced.
We will show that these ideals have inverses of larger norms among reduced ones. Especially, we represent a sufficient and necessary condition for reduced ideals of real quadratic fields to be obtained from the reduction algorithm.
Other Information:
Location: B543 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science
