Monday, December 2Organizational meeting A brief introduction to linear dynamicsMonday, November 18 Title: Leonardo Pinheiro, BGSUSpeaker: 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. Group Theory and Rubik's CubeMonday, October 28 Title: Jacob Laubacher, BGSUSpeaker: 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 IISpeaker: Robert KelveyWe 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!!!)Abstract: Monday, September 30 Title: Introduction to Basse-Serre Theory Robert Kelvey, BGSUSpeaker: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.Abstract: Monday, September 16 Title: Faithfully Blocked Representations of Some Finite GroupsSpeaker: Speaker: Mark Medwid, BGSUIn 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.Abstract: Tuesday, April 9 Title: Cyclic Subspaces and AnnihilatorsSpeaker: Jennifer MageeAbstract:We will discuss Cyclic Subspaces and Annihilators from the Linear Algebra book by Hoffman and Kunze. Primary Decomposition Theorem (Part II)
Tuesday, April 2 Title: Swarup Ghosh
Speaker: Abstract: We will discuss Primary Decomposition Theorem and related theorems from the Linear Algebra book by Hoffman and Kunze. Tuesday, March 26Title: Primary Decomposition TheoremSpeaker: Mark MedwidAbstract: We will discuss Primary Decomposition Theorem from the Linear Algebra book by Hoffman and Kunze. Tuesday, March 19Triangulation, Diagonalization, Direct-Sum Decompositions (Part II)Title: Speaker: Gokul KadelAbstract:We will discuss Simultaneous Triangulation, Simultaneous Diagonalization, Direct‐Sum Decompositions from the Linear Algebra book by Hoffman and Kunze.Triangulation, Diagonalization, Direct-Sum DecompositionsTuesday, March 12 Title: Gokul KadelSpeaker: Abstract: We will discuss Simultaneous Triangulation, Simultaneous Diagonalization, Direct-Sum Decompositions from the Linear Algebra book by Hoffman and Kunze.Tuesday, February 26Invariant Subspaces (Part II)Title: Robert KelveySpeaker: Abstract: We will discuss invariant subspaces from the Linear Algebra book by Hoffman and Kunze.Invariant SubspacesTuesday, February 19 Title: Robert KelveySpeaker: We will discuss invariant subspaces from the Linear Algebra book by Hoffman and Kunze.Abstract: Tuesday, February 12Characteristic Values and Annihilating PolynomialsTitle: Leonardo PinheiroSpeaker: We will discuss characteristic values of linear operator and annihilating polynomials from the Linear Algebra book by Hoffman and Kunze.Abstract: Characteristic ValuesTuesday, February 5 Title: Speaker: Adamou Fode Abstract:We will discuss characteristic values of linear operator from the Linear Algebra book by Hoffman and Kunze.Tuesday, January 29Organizational MeetingTitle: |