Mathematics Graduate Seminar - Fall 2020The seminar is scheduled from 12:25 pm - 1:25 pm on Friday afternoon. If you are not a member of the Math Department and would like to attend the seminar please email us at MathDept@tntech.edu for a link to the virtual meeting.
|September 4||Amy Chambers||Introduction to Graph C*-Algebras https://web.microsoftstream.com/video/273437c5-bb0b-4897-9563-46c5216c7c76|
|September 11||Michael Allen||An Introduction to Statistical (Machine) Learning - Machine Learning and Artificial Intelligence are hot, hot topics today. In fact, over 80% of current NSF funding goes toward these two fields. Financial institutions, baseball teams, and game shows are all using AI or neural networks in one way or another. So, what is Artificial Intelligence and Machine Learning? This talk will give an introduction to Machine Learning and AI, discuss their roots in mathematics and statistics, and give some demonstrations of their use. https://web.microsoftstream.com/video/9a6b645c-0a09-4f47-ae33-f5b145b048b2|
|September 18||Seth Agee||The Black-Scholes equation, which earned Scholes and Merton their 1997 Nobel Memorial
Prize in Economics, revolutionized the way options were traded, and is still a commonly
used equation for options pricing. In this presentation, we examine an alternative
way to derive the Black-Scholes equation without solving any partial differential
equations, and apply results from real analysis to provide a more elegant solution.
This gives a fantastic example of how a purely abstract idea can be applied to the
|September 25||Amy Chambers||Examples of Graph C*-Algebras - In this talk, we will look at some concrete examples of Graph C*-Algebras. Particularly,
we will choose a particular Hilbert space H and view certain Graph C*-Algebras as
C*-subalgebras of B(H).
|October 2||Menassie Ephrem, Coastal Carolina University||Finite-dimensional Labeled Graph C*-Algebras - Given a directed graph E and a labeling L, one forms the labeled graph C*-algebra
by taking a set of subsets of vertices and considering a generating family of partial
isometries and projections.
In this talk, we will discuss the basics of graph C*-algebras and how to form C*-algebras from labeled graphs We will compute some such algebras. Focusing on finite algebras we will formulate a process to compute these algebras. We will present results that are obtained from experiments and eventually proven.
|October 9||Motoya Machida||Brownian motions, coupling, Pitman theorem and beyond. A sample path of Brownian motion is continuous, nowhere differentiable, moving everywhere from negative to positive, and it can be viewed forward or backward in time. Pitman (1975) showed that a sample path of Brownian motion conditioned on positive values (or, simply a three-dimensional Bessel process) can be constructed and coupled with Brownian motion. In the talk we present the construction of Pitman as an intertwining dual. In general, we can show that (a) an intertwining dual can be constructed via Liggett dual, and (b) a coupled realization becomes bivariate Markovian. We will discuss possible applications beyond Pitman theorem.|
|October 23||Damian Kubiak||The Daugavet property in Banach spaces. https://web.microsoftstream.com/video/1e59d38a-f5b8-4eb1-bdba-f363705a95be|
|November 6||Padmini Veerapen||An Intro to Poisson Algebras.
|November 13||Chudamani Poudyal||Truncated and Censored Parametric Longormal Severity Models.
|November 20||Alexander Shibakov|