The Department of Mathematics at The Catholic University of America hosts a weekly seminar in Functional Analysis and Related Areas. Attendance is open to all interested members of the mathematics community, including students and faculty from other colleges and universities. See below for the title and an abstract of the upcoming presentation.

Visit our seminar archive for a list of past seminar speakers and their talks, with links to their abstracts.

Next Seminar

THE CATHOLIC UNIVERSITY OF AMERICA
Washington, DC 20064
SEMINAR IN FUNCTIONAL ANALYSIS
AND RELATED AREAS
Wednesday, February 19, 2025
5:15 p.m. - 6:15 p.m. (including a coffee break)

SPEAKER: Michael Somos
                The Catholic University of America

TITLE: Spherical Triangles in the Elliptic Realm

ABSTRACT: Spherical triangles have a very ancient history. Also, planar triangles with rational sides and area using Heron's formula for the area. Despite some continuing interest in Heronian spherical triangles, I do not know of any published examples of non-trivial numerical spherical triangles with Heronian sides, angles and area. Here a "Heronian angle" refers to an angle where the tangent of its half is rational. After some research I was able to find infinite families of Heronian spherical triangles. This is closely related to my research in the Elliptic Realm which includes elliptic functions and curves. I will talk about early 19th century work relating the spherical law of sines to Jacobi elliptic functions. I will mention how this relates to functional equations associated with some identities in my Simple Algebraic Identities collection.

PLACE:  Aquinas Hall, room 108.

ORGANIZERS: V. Bogdan (The Catholic University of America), P. Kainen (Georgetown University), R. Kalpathy (The Catholic University of America), and A. Levin (The Catholic University of America).

Tel: 202-319-5221202-319- 5222.    Fax: 202-319-5231.  E-mail:levin@cua.edu

Web page:  
https://mathematics.catholic.edu/faculty-and-research/mathematics-seminar/index.html

The talk will be on Zoom as well (from 5:15 p.m. to 6:15 p.m. ET).   The following is the information about the corresponding link. 

Meeting Topic: SEMINAR IN FUNCTIONAL ANALYSIS AND RELATED AREAS
Meeting Time: Sep 18, 2024 05:00 PM Eastern Time (US and Canada)

Every week on Wed, until Dec 25, 2024, 15 occurrence(s)
Zoom link: https://cua.zoom.us/s/92661437403
Meeting ID: 926 6143 7403