Seminars and Colloquiums
for the week of September 17, 2012
Speakers:
Mr. Vajira Manathunga, Monday
Ms. Parisa Fatheddin, Monday
Ms. Kelly Rooker, Wednesday
Prof. Paul Bourdon, Wednesday
Prof. Steve Wise, Wednesday
Professor Catherine Searle, Oregon State University, Thursday
Professor Catherine Searle, Oregon State University, Friday
Monday, September 17
ALGEBRA SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres B004
SPEAKER: Mr. Vajira Manathunga
TITLE: Arithmetic progressions in a UFD
PROBABILITY SEMINAR
TIME: 3:35 - 4:25 p.m.
ROOM: Ayres 112
SPEAKER: Ms. Parisa Fatheddin
TITLE: Large and Moderate Deviations for Some Measure-Valued Processes. Part II
ABSTRACT: In this talk Moderate Deviations are considered for a class of stochastic partial differential equations (SPDEs). Since two important population models, super-Brownian Motion and Fleming-Viot Process, can be represented by SPDEs, then, as an application, Moderate Deviations are derived for these models as well. I will begin by characterizing Central Limit Theorem (Normal Deviations), Large and Moderate Deviations by looking at the difference between the calculated mean and the actual mean. The first talk reviewed Large Deviations for the above SPDEs. Moderate Deviations will be covered in the second talk.
Wednesday, September 19
MATH BIOLOGY SEMINAR
TIME: 10:10 - 11:00 a.m.
ROOM: Dabney 488
SPEAKER: Ms. Kelly Rooker
TITLE: Introduction to R and data (chapter 3 of Bolker's book, pages 75-86)
ANALYSIS SEMINAR
TIME: 3:35 - 4:30 p.m.
ROOM: Ayres 112
SPEAKER: Professor Paul Bourdon
TITLE: Dense Coding with Partially Entangled Quantum Particles
ABSTRACT: By sliding a coin across a dining table to your friend "Bob", you can convey one of two messages: "heads" (which might mean "pass the salt") or "tails" (which might mean "pass the pepper"). However, if you and Bob share two fully entangled "quantum coins" (one in Bob's possession and one in yours), you can send one of four different messages with your quantum coin. When Bob looks at your quantum coin he will see either heads (H) or tails (T), but you can prepare your coin in such a way that when he looks at both your coin and his, he will see exactly that sequence in {HH, HT, TH, TT} that you wish him to see, and thus receive one of four messages from your two-sided quantum coin. This
is a simple example of the magic of dense coding, in which the quantum coins might be photons (with, e.g., heads = vertically polarized; tails = horizontally polarized). In general, dense coding involves two
parties, customarily called Alice and Bob, with each assumed to possess one of a pair of entangled d-dimensional quantum particles known as qudits. If the pair of qudits that Alice and Bob share is fully
entangled, then in theory Alice can convey one of d-squared messages to Bob via her qudit. These messages are prepared/encoded by Alice by applying to her qudit a physical operation modeled by a d x d unitary matrix; moreover, in order that the messages encoded by Alice never be misinterpreted by Bob, the messages must correspond to orthogonal vectors in the state space of the two-qudit system that Alice and Bob share. The mathematics of this situation will be the focus of the talk, with the principal research-level issue being: how is the number of distinct messages that Alice may encode related to the degree of entanglement of the two-qudit system she and Bob use as the basis for their communication?
COMP/APPLIED MATH SEMINAR
TIME: 3:35-4:30 p.m.
ROOM: Ayres 110
SPEAKER: Prof. Steve Wise, UTK
TITLE: Some Mixed Finite Element Methods and Efficient Solvers for Cahn-Hilliard-Type
Equations, Part II
Thursday, September 20
JUNIOR COLLOQUIUM
TIME: 3:35 - 4:30 p.m.
ROOM: Ayres B004
SPEAKER: Professor Catherine Searle, Oregon State University
TITLE: Isometric Circle Actions
ABSTRACT: I will begin by describing a number of important examples of isometric actions of circles in Euclidean space and their restrictions to subspaces of Euclidean space. The goal of the talk will be to see how isometric actions of circles can be used to "recognize" the space on which they are acting.
Pizza will be available at 3:15 in 401.
Friday, September 21
COLLOQUIUM
TIME: 3:35 - 4:30 p.m.
ROOM: Ayres B004
SPEAKER: Professor Catherine Searle, Oregon State University
TITLE: Curvature, Topology and Symmetries
ABSTRACT: I will talk about the interplay between curvature, topology and symmetries in the study of manifolds of positive and non-negative curvature and how techniques of Alexandrov geometry can be used to enhance our understanding of this class of manifolds.
If you are interested in giving or arranging a talk for one of our seminars or colloquiums,
please review our calendar.
If you have questions, or a date you would like to confirm, please contact colloquium@math.utk.edu.
Past notices:
Seminars from 2011-2012 academic year
Seminars from 2010-2011 academic year
Seminars from 2009-2010 academic year
Seminars from 2008-2009 academic year
Seminars from 2007-2008 academic year
Seminars from 2006-2007 academic year