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The Colorado Springs Algebra Seminar
"Rings and Wings"
The Colorado Springs Algebra Seminar typically meets every other Wednesday, from 4:00 until 5:XX (where 00 \leq XX \leq 30). Often the meeting place is the campus of the University of Colorado at Colorado Springs, but other venues have been used as well.
We encourage talks from all areas of algebra.
Talks are typically attended by math faculty from throughout the Pikes Peak region, including the University of Colorado at Colorado Springs, The Colorado College, and Colorado State University - Pueblo. Talks are also often attended by graduate students and advanced undergraduate students.
Talks are typically given by those who typically attend, as well as any out-of-town visiting algebraists who may happen along ...
It is now traditional that, on completion of the presentation, those who are interested head to a local eatery / watering hole (often Clyde's on the UCCS campus) for dinner or liquid refreshment or snacks (e.g., Wings?).
Contact the seminar organizer, Gene Abrams abrams@math.uccs.edu if you are interested in participating.
On this page we will also typically include other talks which will happen in the Pikes Peak region which may be of interest to algebraists.
Spring 2013 Schedule
All talks in ENGR 239 on the UCCS campus, unless otherwise indicated.
All talks begin at 4:00pm, unless otherwise indicated.
Contact Gene Abrams (preferably a few days in advance of the talk) if you need a UCCS parking permit.
DATE |
SPEAKER |
TITLE |
ABSTRACT |
|
January 30
|
Stefan Erickson The Colorado College TALK TO BE HELD IN TUTT SCIENCE BUILDING ON THE COLORADO COLLEGE CAMPUS, ROOM 221 |
Endomorphism Rings of Elliptic Curves |
|
February 13 |
(cancelled) |
||
| February 27 |
P.N. Anh Mathematics Institute, Hungarian Academy of Sciences, Budapest TALK TO BE HELD IN TUTT SCIENCE BUILDING ON THE COLORADO COLLEGE CAMPUS, ROOM 229 |
A generalization of Clifford's Theorem |
|
March 13 |
Mike Siddoway The Colorado College TALK TO BE HELD IN TUTT SCIENCE BUILDING ON THE COLORADO COLLEGE CAMPUS, ROOM 229 |
Ideals, Gauss' Lemma, Valuations, Eisenstein's Criterion |
|
** Thursday, March 21 12:30 - 1:30 UCCS Math Dept. Colloquium |
Murad Ozaydin University of Oklahoma |
"The linear Diophantine Frobenius problem: an elementary introduction to numerical methods" |
|
April 3 |
Benjamin Schoonmaker MS Applied Math student, UCCS |
An examination of the K_0 groups of the Leavitt path algebras of some Cayley graphs |
|
April 17 |
Zak Mesyan UCCS |
Generalizations of Shoda's Theorem |
Abstract: A celebrated theorem of Shoda from 1936 states that over any field (of characteristic 0), every matrix with trace 0 can be expressed as a commutator AB-BA. I will describe various attempts to generalize this result over the years. |
** Friday April 19 2:00 - 3:00 UCCS, room tba |
Efren Ruiz University of Hawai'i Hilo |
Classification of graph algebras: The Invariant and Status Quo |
|
** Tuesday, April 31 12:30 - 1:30 UCCS Math Dept. Colloquium |
Mercedes Siles Molina Universidad de Malaga (Spain) |
Graph algebras: from analysis to algebra and back |
|
May 1 |
Pere Ara Universitat Autonoma de Barcelona |
Lamplighter groups and separated graphs |
|
Previous semesters:
Fall 2012 Schedule
DATE |
SPEAKER |
TITLE |
ABSTRACT |
November 28 |
Darren Funk-Neubauer Colorado State University - Pueblo |
An Introduction to Bidiagonal Pairs |
I will introduce a linear algebraic object called a bidiagonal pair and present a theorem which classifies these objects. Roughly speaking, a bidiagonal pair is an ordered pair of diagonalizable linear transformations on a finite dimensional vector space, each of which acts in a bidiagonal fashion on the eigenspaces of the other. Understanding the definition of a bidiagonal pair and the statement of the classification theorem only requires a basic knowledge of undergraduate linear algebra. However, the proof of the classification theorem makes use of the representation theory of Lie algebras and quantum groups. I will discuss the origin of bidiagonal pairs in Lie theory, but no Lie theory will be assumed in following the talk. |
November 14 |
Matthew Eric Bassett Queen's College, London
|
A Tour of Hopf Algebras and Their Applications, plus some remarks about class field theory
|
From their beginnings in algebraic topology, Hopf algebras - later quantum groups - have found uses ranged from number theory to noncommutative geometry. In this talk, we'll discuss their uses in studying Galois modules, to constructing noncommutative geometries, and, time permitting, say a few words about the structure of the quantum group-flavoured Hopf algebras via their categories of [co]modules. I'll also mention some results from a recent paper by Cornelissen, expanding on Bost-Connes type system results. |
October 24 |
Kulumani M. Rangaswamy UCCS |
Centers of path algebras, Cohn algebras, and Leavitt path algebras
|
This talk will attempt to describe the centers of path algebras, the Cohn algebras and the Leavitt path algebras of an arbitrary graph E over a field K. |
October 10 |
Muge Kanuni Er Boğaziçi Univesity Dept of Mathematics Visiting Fulbright Scholar to UCCS |
"An approach to calculating the global dimension of some Artinian algebras" |
In this talk, we will focus on two aspects: *** joint work with A. Kaygun |
September 26 |
Kulumani M. Rangaswamy UCCS |
A descriptinon of results in the article "Irreducible representations of Leavitt path algebras" by Xiao-Wu Chen |
|
September 12 |
Greg Oman UCCS |
Rings whose multiplicative endomorphisms are power functions. |
Let F be a finite field of order p^n. It is well-known that there are exactly n field automorphisms of F. In particular, they are all power functions. In this note, we "throw away" addition and enlarge the class of rings to the class of commutative rings with identity. We then consider the following question: For which rings R is it the case that every multiplicative endomorphism of R (a map which preserves multiplication, sends 0 to 0, and sends 1 to 1) is equal to a power function? |