**Seminars and Colloquiums**

for the week of November 16, 2015

for the week of November 16, 2015

*SPEAKER:*

Jim Conant, UTK, Monday

Shashikant Mulay, UTK, Monday

Andrew Marchese, UTK, Tuesday

Kertesha Riley, UT Center for Career Development, Wednesday

Kelly Rooker, Betsy Heines, and Liguo Wang, UTK, Wednesday

Dimitry Schebarchov, University of Cambridge, Wednesday

Karthik Adimurthi, LSU, Thursday

Mustafa Elmas, UTK, Friday

James Sunkes, UTK, Friday

*TEA TIME*

3:00 – 3:30 pm, Ayres 401

Monday, Tuesday, & Wednesday

Hosted By: Eric Olberding and Thomas Weighill, UTK

3:00 – 3:30 pm, Ayres 401

Monday, Tuesday, & Wednesday

Hosted By: Eric Olberding and Thomas Weighill, UTK

* *

**Monday, November 16th **

GEOMETRY AND TOPOLOGY SEMINAR

TITLE: Morita classes in the homology of Out(F_n)

SPEAKER: Jim Conant, UTK

TIME: 2:30

ROOM: Ayres 114

The homology of Out(F_n) sounds rather technical and scary, but it's actually just the homology of a very concrete space constructed using graphs. We will outline this construction and show how to define subspaces which should give homology classes, the so called Morita classes. It is a very important open problem whether these are nonzero! To date the first three have been shown to be nontrivial. We will show how the first Morita class can be realized as a 4-sphere embedded in the moduli space of graphs. Joint work with Allen Hatcher, Martin Kassabov and Karen Vogtmann.

ALGEBRA SEMINAR

TITLE: Unimodular rows and Hermite rings I

SPEAKER: Shashikant Mulay, UTK

TIME: 3:35-4:25

ROOM: Ayres 114

Closing remarks on and some open problems in the algebra of Unimodular Rows.

** Tuesday November 17th **

SEMINAR IN STOCHASTICS

TITLE: Machine Learning: A Stochastic Point of View, Part 2

SPEAKER: Andrew Marchese, UTK

TIME: 2:10 – 3:10pm

ROOM: Ayres 114

I will talk about machine learning and how we can apply statistic and probabilistic methods to model selection. I will introduce the Vapnik-Chervonenkis dimension and the Rademacher Complexity and show how they can be used in analyzing and bounding generalization error rates for both balanced and unbalanced data.

**Wednesday November 18th **

GRADUATE STUDENT SEMINAR

TITLE: Job Interview Skills

SPEAKER: Kertesha Riley

TIME: 9:05-9:55 am

ROOM: Ayres 405

Kertesha is from the UTK Center for Career Development. She will be talking about job interview skills and how to prepare.

SIAM CHAPTER SEMINAR

TITLE: SIAM Student Chapter Panel Discussion on Industrial Internships

SPEAKER: Kelly Rooker, Betsy Heines, and Liguo Wang, UTK

TIME: 12:20 – 1:10

ROOM: Ayres 405

You are invited to a panel discussion with current graduate students in mathematics where they will discuss their experiences working in industrial internships over this past summer. We hope this will give you an idea about the types of opportunities in industry available to mathematicians and how to get involved in them. Below are the panelists and their positions this past summer. Pizza will be served!

Kelly Rooker worked with RAND Corporation over the summer. They are a non-partisan, non-profit research advisory group, specifically aimed at addressing public policy issues.

Betsy Heines had an internship with the FDA in their Division of Imaging, Diagnostics, and Software Reliability. In particular, she helped to develop a statistical methodology to evaluate the relationship between mitotic cell count and survival time of a patient.

Liguo Wang had an internship at Bank of New York Mellon in Pittsburgh. His work focused on building statistical models.

COMPUTATIONAL & APPLIED MATHEMATICS (CAM) SEMINAR

TITLE: Some insights from atomistic modelling of nanoalloys

SPEAKER: Dimitry Schebarchov, University of Cambridge

TIME: 3:35 – 4:35 pm

ROOM: Ayres 112

Multi-metallic nanoscale particles (nanoalloys) exhibit size- and composition-dependent properties that can be exploited in catalysis, gas sensing, and other applications. Much insight into nanoalloy structure and thermodynamics can be inferred from atomistic models, but it often poses a formidable global optimisation problem as well as a sampling problem. In this talk I will describe some methods and approximations that help dealing with these two challenges. I will then use some of these methods to illustrate how nanoalloy structure and thermodynamics can be tuned by adjusting the properties of a single dopant atom and/or by straining the underlying substrate.

Thursday November 19th

DIFFERENTIAL EQUATIONS SEMINAR

TITLE: A priori estimates and sharp existence results for the p-Lapalce equation

SPEAKER: Karthik Adimurthi, LSU

TIME: 2:10–3:00pm

ROOM: Ayres 114

Abstract: (see pdf)

** Friday November 20th **

MATH BIOLOGY SEMINAR

TITLE: Sensitivity analysis of parameter estimation and introduction of SimLab

SPEAKER: Mustafa Elmas, UTK

TIME: 10:10 – 11:00 am

ROOM: Ayres 405

ANALYSIS SEMINAR

TITLE: The Interplay of Operator Theory and Function Theory, Part II

SPEAKER: James Sunkes, UTK

TIME: 2:30pm

ROOM: BU 476

In this talk, we will continue the theme of the interplay of operators and functions by discussing Hankel operators. Using Beurling's Theorem (proven last time), I will prove that every invariant subspace of multiplication by z on the Hardy space is the kernel of a Hankel operator. I will then discuss a generalization of this result by Dr. Richter and myself to the Drury-Arveson space. In the remaining time, I will discuss the applications of our result to other aspects of function theory in the Drury-Arveson space.

COLLOQUIUM - Cancelled this week

*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 *