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Seminars and Colloquiums
for the week of November 5, 2018


Jeremy Siegert, University of Tennessee

Wei-Kuo Chen, University of Minnesota
Stefan Richter, University of Tennessee
Lindsey Fox, University of Tennessee
Henry Adams, Colorado State University
Giuseppe Tinaglia, King’s College London
Hannah Thompson, University of Tennessee

TEA TIME - cancelled for this week.

Monday, 11/5

TITLE: Boundaries of coarse proximity spaces and boundaries of compactifications
SPEAKER: Jeremy Siegert, University of Tennessee
TIME: 3:35 PM-4:25 PM
ROOM: Ayres 406
In this talk we will describe the boundary of a coarse proximity space. This boundary is a subset of the boundary of a certain Smirnov compactification. We show that each such boundary is a compact Hausdorff space and that every compact Hausdorff space can be realized as the boundary of a coarse proximity space. We will then show that for proper metric spaces equipped with their metric coarse proximity structures, the boundary is homeomorphic to the Higson corona. Time permitting we will describe the coarse proximities on Hausdorff rim compact spaces (resp. Gromov hyperbolic spaces) whose boundaries are the Freudenthal (resp. Gromov) boundaries.

Tuesday, 11/6

TITLE: Phase Transition in the Spiked Gaussian Tensor Models
SPEAKER: Wei-Kuo Chen, University of Minnesota
TIME: 2:10 PM-3:10 PM
ROOM: Ayres 113
The problem of detecting a deformation in a symmetric Gaussian random tensor is concerned about whether there exists a statistical hypothesis test that can reliably distinguish a low-rank random spike from the noise. In this talk, we will consider the spikes sampled from bounded priors. We will show that there exist critical thresholds for the signal-to-noise ratios, which strictly separate the distinguishability and indistinguishability between the non-spiked and spiked Gaussian random tensors under the total variation distance. Our approach is based on a subtle analysis of the high temperature behavior of the pure p-spin model, arising initially from the field of spin glasses. In particular, the signal-to-noise criticality is identified as the critical temperature, distinguishing the high and low temperature behavior, of the pure p-spin model.

Wednesday, 11/7

TITLE: Factorization of functions and non-commutative analysis
SPEAKER: Stefan Richter, University of Tennessee
TIME: 2:30pm-3:20pm
ROOM: Ayres 113
Every L^1-function can we written as a product of two L^2-functions. Of course, the easy brute force construction does not preserve analyticity. However, by use of a classical theorem of F. Riesz it is well-known that every Hardy space H^1-function is a product of two H^2-functions. A recent result accomplishes an analogous factorization for other spaces of analytic functions in one or more variables. A surprising ingredient of the proof are theorems from free function theory. I will give an overview.

SPEAKER: Lindsey Fox, University of Tennessee
TIME: 3:35 PM-4:35 PM
ROOM: Ayres 113

Thursday, 11/8

TITLE: Applied and computational topology
SPEAKER: Henry Adams, Colorado State University
TIME: 2:10 PM-3:10 PM
ROOM: Ayres 405
I will describe several applications of computational topology to data analysis and to sensor networks. The shape of a dataset often reflects important patterns within. Two such datasets with interesting shapes are a space of 3x3 pixel patches from optical images, which can be well-modeled by a Klein bottle, and the conformation space of the cyclo-octane molecule, which is a Klein bottle glued to a 2-sphere along two circles of singularities. Topological tools such as persistent homology are useful for visualizing and understanding high-dimensional datasets. As a second application, I will describe how topology has been applied to coverage problems in mobile sensor networks.

TITLE: Paper I, Section -II.3
SPEAKER: Giuseppe Tinaglia, King’s College London
TIME: 4:00 PM-5:30 PM
ROOM: Ayres 121
We show how one can extend a multi-valued graph in stable minimal disks.

Friday, 11/9

TITLE: Modeling interacting of hemlock woolly adelgid with two predatory beetle populations in the GSMNP
SPEAKER: Hannah Thompson, University of Tennessee
TIME: 10:10 AM-11:00 AM
ROOM: Ayres 401

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 mlangfo5 AT utk DOT edu

Past notices:

Oct. 29, 2018

Oct. 22, 2018

Oct. 15, 2018

Oct. 8, 2018

Oct. 1, 2018

Sept. 24, 2018

Sept. 17, 2018

Sept. 10, 2018

Sept. 3, 2018

Aug. 27, 2018



last updated: November 2018

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