2013 Past Seminar Talks

Monday, December 2
Organizational meeting


Monday, November 18
Title:
A brief introduction to linear dynamics
Speaker:
Leonardo Pinheiro, BGSU
Abstract:

A common misconception is that chaotic behavior is a strictly non-linear phenomenon. In this talk we will present some basic results concerning the dynamics of continuous linear operators on topological vector spaces.


Monday, October 28
Title:
Group Theory and Rubik's Cube
Speaker:
Jacob Laubacher, BGSU
Abstract:

We will investigate the inner workings of Rubik's Cube through Group Theory. This will include quick overviews of subgroups, symmetric groups, and combinatorics. We'll conclude with analyzing God's Number of arguably the most famous puzzle worldwide.



Monday, October 14
Title: Introduction to Bass-Serre Theory, Part II
Speaker:
Robert Kelvey
Abstract:

We continue our discussion with groups acting on graphs/trees. We will discuss the action of SL_2(Z) on the hyperbolic plane and see how this is related to the concepts of free product, amalgams, and HNN extensions. Maybe we will discuss graphs of groups also. There may be sweets for those in attendance (but you won't know unless you show up!!!)


Monday, September 30

Title: Introduction to Basse-Serre Theory
Speaker:
Robert Kelvey, BGSU
Abstract:
We will give a basic introduction of the theory which includes: graphs, trees (graphs with no loops or circuits), groups acting on graphs, quotient graphs, Cayley graphs, graphs of groups, and the fundamental group of a graph and/or graph of groups. We will also discuss Free groups, amalgams of groups, and HNN Extensions, as these are the fundamental objects generalized by the theory. If time permits, we will explain why this theory is important.


Monday, September 16
Title:
Faithfully Blocked Representations of Some Finite GroupsSpeaker:
Speaker: Mark Medwid, BGSU
Abstract:

In the study of finite groups, Cayley's Theorem guarantees that any finite group is isomorphic to some subgroup of a symmetric group on n elements. This talk will use this fact liberally to determine faithfully blocked matrix representations of such groups. The groups can be represented with no loss of information by matrices which exhibit how elements of subgroups interact with one another.


Tuesday, April 9

Title:
Cyclic Subspaces and Annihilators
Speaker:
Jennifer Magee
Abstract:

We will discuss Cyclic Subspaces and Annihilators from the Linear Algebra book by Hoffman and Kunze.


Tuesday, April 2
Title:
Primary Decomposition Theorem (Part II)
Speaker:
Swarup Ghosh
Abstract:

We will discuss Primary Decomposition Theorem and related theorems from the Linear Algebra book by Hoffman and Kunze.


Tuesday, March 26
Title:
Primary Decomposition Theorem
Speaker:
Mark Medwid
Abstract:

We will discuss Primary Decomposition Theorem from the Linear Algebra book by Hoffman and Kunze.


Tuesday, March 19
Title:
Triangulation, Diagonalization, Direct-Sum Decompositions (Part II)
Speaker:
Gokul Kadel
Abstract:
We will discuss Simultaneous Triangulation, Simultaneous Diagonalization, Direct‐Sum Decompositions from the Linear Algebra book by Hoffman and Kunze.


Tuesday, March 12
Title:
Triangulation, Diagonalization, Direct-Sum Decompositions
Speaker:
Gokul Kadel
Abstract:

We will discuss Simultaneous Triangulation, Simultaneous Diagonalization, Direct-Sum Decompositions from the Linear Algebra book by Hoffman and Kunze.


Tuesday, February 26
Title:
Invariant Subspaces (Part II)
Speaker:
Robert Kelvey
Abstract:

We will discuss invariant subspaces from the Linear Algebra book by Hoffman and Kunze.


Tuesday, February 19
Title:
Invariant Subspaces
Speaker:
Robert Kelvey
Abstract:
We will discuss invariant subspaces from the Linear Algebra book by Hoffman and Kunze.


Tuesday, February 12
Title:
Characteristic Values and Annihilating Polynomials
Speaker:
Leonardo Pinheiro
Abstract:
We will discuss characteristic values of linear operator and annihilating polynomials from the Linear Algebra book by Hoffman and Kunze.


Tuesday, February 5
Title:
Characteristic Values
Speaker:

Adamou Fode
Abstract:
We will discuss characteristic values of linear operator from the Linear Algebra book by Hoffman and Kunze.


Tuesday, January 29
Title:
Organizational Meeting