**Seminars and Colloquiums**

for the week of February 6, 2017

for the week of February 6, 2017

*SPEAKER:*

Thomas Weighill, UTK, Monday

Xiaoyang Pan, UTK, Monday

Xia Chen, UTK, Tuesday

Stefan Richter, UTK, Wednesday

*TEA TIME -
3:00 pm – 3:30 pm
Monday, Tuesday, Wednesday
Tuesday Room: Ayres 401*

*Hosted by: Jennifer Fowler and John Long*

**Monday, February 6th **

TOPOLOGY/GEOMETRY SEMINAR

TITLE: Coarse neighbourhoods and hybrid large scale normal spaces

SPEAKER: Thomas Weighill, UTK

TIME: 2:30pm – 3:20pm

ROOM: Ayres 113

We introduce the notion of (hybrid) large scale normal space and prove analogues of Urysohn's Lemma and the Tietze Extension Theorem for these spaces, where continuous maps are replaced by (continuous and) slowly oscillating maps. To do so, we first prove a general form of each of these results in the context of a set equipped with a neighbourhood operator satisfying certain axioms, of which the classical topological results are a special case. We then introduce the notion of coarse neighbourhood, which allows us to obtain the results for (hybrid) large scale spaces as another special case of the general result. In a subsequent talk, we will look at some examples and properties of hybrid large scale normal spaces, as well as some applications to the Higson corona. This is joint work with J. Dydak.

ORAL SPECIALTY EXAMINATION

SPEAKER: Xiaoyang Pan, UTK

TIME: 3:30pm

ROOM: Ayres 111

His committee consist of Professors: Maroulas (chair), Rosinski, Salgado, Djouadi (EECS), and Law (UTK/ORNL)

** Tuesday, February 7th **

STOCHASTICS/ PROBABILITY SEMINAR

TITLE: Laplace and Fourier transforms in the moment computations, Part 3

SPEAKER: Xia Chen, UTK

TIME: 2:10pm – 3:25pm

ROOM: Ayres 113

In probability textbooks, the Laplace and Fourier transforms (or moment generating/characteristic functions in probability literature) are introduced for their role in transforming convolution into product. In this talk, we will further explore this elementary idea and illustrate several examples of their applications in the moment computations for the Brownian Hamiltonians. The nature of this talk is on the tool-development instead of result-introduction, in spite that some of the examples come from the speaker's on-going research project.

**Wednesday, February 8th **

ANALYSIS SEMINAR

TITLE: Interpolating sequences for multiplier algebras, Part 4

SPEAKER: Stefan Richter, UTK

TIME: 2:30pm-3:20pm

ROOM: Ayres 113

Interpolating sequences for the algebra of bounded analytic functions on the open unit disc were characterized by Carleson in 1958. Marshall/Sundberg and Bishop proved an analogous theorem for the multipliers of the Dirichlet space in 1994. By use of the recent solution to the Kadison-Singer problem by Marcus, Spielman, and Srivastava we show that the theorem holds for all spaces with complete Pick kernel.

*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:**

Winter Break