Ryan Karr, University of Central Florida
Mathematics colloquium
4:00 pm –
4:50 pm
Avery Hall
Room: 115
1144 T St
Lincoln NE 68508
Lincoln NE 68508
Directions: East side of Avery Hall on the first floor.
Additional Info: AVH
Contact:
Sylvia Wiegand, 472-7248, swiegand@math.unl.edu
Title: Cubic orders and their lattices
Abstract:
The ring of integers in a number field K contains a certain collection of subrings, the <i>orders</i> of K. When K is a quadratic number field and R is an order in K, the structure of torsion-free R-modules, a.k.a. R-lattices, is easy to describe. However, when K is a cubic number field, much less is known about the structure of R-lattices. In this colloquium talk, we’ll examine the structure of these lattices in the closely-related contexts of direct-sum cancellation and representation type.
Local host: Roger Wiegand
Abstract:
The ring of integers in a number field K contains a certain collection of subrings, the <i>orders</i> of K. When K is a quadratic number field and R is an order in K, the structure of torsion-free R-modules, a.k.a. R-lattices, is easy to describe. However, when K is a cubic number field, much less is known about the structure of R-lattices. In this colloquium talk, we’ll examine the structure of these lattices in the closely-related contexts of direct-sum cancellation and representation type.
Local host: Roger Wiegand
Additional Public Info:
The talk will be preceded by refreshments at 3:30pm in Avery 348. The talk is free and open to the public.
For more information see
http://www.math.unl.edu/~swiegand1/schspr11