Thursday, October 25Title: Peak Point TheoremsSpeaker: Swarup Ghosh, BGSUWe will discuss the Peak Point Conjecture as well as different Peak Point Theorems proved in the theory of uniform algebras.Abstract: Thursday, October 11 Title: F. and M. Riesz Theorem for Compact Abelian Groups (Part II)Speaker: Robert Kelvey, BGSUWe will discuss the Fourier Transform on topological groups, building up necessary preliminaries to prove a Generalized Version of the F. and M. Riesz Theorem from Complex Analysis.Abstract: Robert Kelvey, BGSUThursday, September 20 Speaker: Thursday, April 12 Title: Maximal ideal space of rings of continuous functions of compact topological spaces (Part II)Speaker: Swarup Ghosh, BGSUThursday, March 29Title: Maximal ideal space of rings of continuous Functions of compact topological spacesSpeaker: Swarup Ghosh, BGSUAbstract:In the theory of rings of continuous functions, it is obvious that the ring structure of C(X), the collection of all real valued continuous functions on a topological space X, is completely determined by the properties of the space X. An important problem is to specify conditions under which, conversely, X determined as a topological space by the algebraic structure of C(X). We shall present a result that represents one of the milestones in the development of this theory: within the class of compact spaces, the ring structure of C(X) determines X up to homeomorphism. Thursday, March 1 Title: To be or not to be...Lucky (Part II)Speaker: Robert Kelvey, BGSUThursday, February 16 Title: To be or not to be...LuckyRobert Kelvey, BGSUSpeaker: The Sieve of Eratosthenes is a famous algorithm for generating prime numbers. If one alters this sieving process, one can generate a sequence of numbers sharing many of the properties of the primes. In this talk, we shall discuss one such sequence, called the Lucky Numbers, and demonstrate that they share the same asymptotic density as the primes. We shall also discuss the Prime (Ulam) Spiral, an interesting arrangement of the primes that yields some rather groovy pictures, and discuss similarities with a Lucky Spiral. Time permitting, we can also discuss other possible sieves, as well as a little History of Mathematics pertaining to the Prime Number Theorem. This talk is (loosely) based on my Senior Capstone experience at McDaniel College.Abstract: Thursday, February 2 Title: Connectedness arguments in linear dynamicsSpeker: Gokul Kadel, BGSUAbstract: We discuss some results from the book, "Linear Chaos" by Grosse-Erdmann and Peris. |