**Seminars and Colloquiums**

for the week of November 5, 2018

for the week of November 5, 2018

*SPEAKERS*

** Monday**

Jeremy Siegert, University of Tennessee

Tuesday

Wei-Kuo Chen, University of Minnesota

**Wednesday**

Stefan Richter, University of Tennessee

Lindsey Fox, University of Tennessee

**Thursday**

Henry Adams, Colorado State University

Giuseppe Tinaglia, King’s College London

**Friday**

Hannah Thompson, University of Tennessee

**TEA TIME** - cancelled for this week.

**Monday, 11/5**

**TOPOLOGY/ GEOMETRY SEMINAR**

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**

**STOCHASTICS/PROBABILITY SEMINAR**

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**

**ANALYSIS SEMINAR**

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.

**COMPUTATIONAL and APPLIED MATHEMATICS (CAM) SEMINAR
**TITLE: TBA

SPEAKER: Lindsey Fox, University of Tennessee

TIME: 3:35 PM-4:35 PM

ROOM: Ayres 113

** Thursday, 11/8**

**MATHEMATICAL DATA SCIENCE SEMINAR
**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.

**MINIMAL SURFACES SEMINAR
**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**

**MATH BIOLOGY SEMINAR
**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:**