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Seminars and Colloquiums
for the week of April 4, 2016


Brian Allen, UTK, Monday
Kyle Golenbiewski, UTK, Monday
Johnathan Hicks, UTK, Tuesday
Max Jensen, Sussex, Wednesday
Matias Delgadino, University of Maryland, Thursday
James Sunkes, UTK, Thursday
Jochen Denzler, UTK, Thursday
Michael Hartz, University of Waterloo, Friday
Chris Beattie, Virginia Tech, Friday

3:00 pm – 3:30 pm
Monday, Tuesday, & Wednesday
Room: Ayres 401
Hosted By: Pawel Grzegrzolka and Delong Li


Monday, April 4th

TITLE: Non-Compact Solutions of Inverse Mean Curvature Flow in Hyperbolic Space
SPEAKER: Brian Allen
TIME: 3:30pm – 4:30pm
ROOM: Ayres 113
His committee consists of Professors: Freire (Chair), Denzler, Frazier, and Djouadi (EECS).

TITLE: Kinetic Monte Carlo Models for Crystal Defects
SPEAKER: Kyle Golenbiewski
TIME: 3:30pm – 4:30pm
ROOM: Ayres 121
His committee consists of Professors: Schulze (Chair), Simpson, Wise, Gao (Materials Sci & Eng).

Tuesday, April 5th

TITLE: Some Results Concerning Seymour Vertices for a Random Tournament
SPEAKER: Johnathan Hicks, UTK
TIME: 2:10pm – 3:25pm
ROOM: Ayres 114
Probabilistic methods can be applied to Graph Theoretic concepts as a nonconstructive method to prove the existence of combinatorial objects.  This talk will review some history of probabilistic methods as well as it will introduce a tournament, which is an orientation on a complete graph. Some recent results on random tournaments from a paper “The Number of Seymour Vertices in Random Tournaments and Digraphs” by Zachary Cohn, Anant Godbole, Elizabeth Wright Harkness, and Yiguang Zhang will be presented. In particular, it will be shown that almost surely there are a large number of Seymour vertices in random tournaments.

Wednesday, April 6th

SPEAKER: Max Jensen, Sussex
TIME: 3:35pm – 4:35pm
ROOM: Ayres 113

Thursday, April 7th

TITLE: The Relationship Between the Obstacle Problem and Minimizers of the Interaction Energy
SPEAKER: Matias Delgadino, University of Maryland
TIME: 2:00pm - 3:00pm
ROOM: Ayres 113
The repulsion strength at the origin for repulsive/attractive potentials determines the minimal regularity of local minimizers of the interaction energy. If the repulsion is like Newtonian or more singular than Newtonian (but still locally integrable), then the local minimizers must be locally bounded densities (and even continuous for more singular than Newtonian repulsion). This can be achieved by first showing that the potential function associated to a local minimizer solves an obstacle problem and then by using classical regularity results for such problems.

SPEAKER:  Mr. James Sunkes
TITLE:  Hankel Operators on the Drury-Arveson Space
TIME:  3:00 pm
ROOM:  Ayres 114
His committee consists of Professors: Richter (Chair), Frazier, Sundberg, and Berry  (EECS).

TITLE: You can count on power series
SPEAKER: Jochen Denzler, UTK
TIME: 3:40pm - 4:35pm
ROOM: Ayres 405
Power Series have long been known to be useful not only in analysis, but also as an (ac)counting tool for discrete mathematics.

I will give and explain a few examples, in particular one whose 80th anniversary is approaching and which I will take license to name “Polya's Breathalizer''. The material is classical, but rarely finds entry into the hustling undergraduate math experience.

Friday, April 8th

TITLE: Von Neumann's inequality for commuting weighted shifts
SPEAKER: Michael Hartz, University of Waterloo
TIME: 2:30pm – 3:20pm
ROOM: Ayres 121

TITLE: An Overview of Model Reduction
SPEAKER: Chris Beattie, Virginia Tech
TIME: 3:30pm-4:30pm
ROOM: Ayres 405
Dynamical systems form the basic modeling framework for an enormous variety of complex systems. Direct numerical simulation of the correspondingly complex dynamical systems are one of few means available for accurate prediction of the associated physical phenomena. However, the ever increasing need for improved accuracy requires the inclusion of ever more detail in the modeling stage, leading inevitably to ever larger-scale, ever more complex dynamical systems that must be simulated.

Simulations in such large-scale settings can be overwhelming and may create unmanageably large demands on computational resources; this is the main motivation for model reduction, which has as its goal the production of much simpler dynamical systems retaining the same essential features of the original systems (high fidelity emulation of input/output response and conserved quantities, preservation of passivity, etc.).

I will give a brief overview of the objectives and methodology of model reduction, focusing eventually on projection methods that are both simple and capable of providing nearly optimal reduced models in some circumstances. These methods provide a framework for model reduction that allows retention of special model structure such as parametric dependence, port-Hamiltonian structure, and internal process/propagation delays.


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 AT math DOT utk DOT edu

Past notices:



3/14/2016 - spring break











last updated: April 2016

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