**Seminars and Colloquiums**

for the week of March 6, 2017

for the week of March 6, 2017

*SPEAKER:*

Vy Nguyen, UTK, Monday

Ray Bai, University of Georgia, Tuesday

Remus Nicoara, UTK, Wednesday

Professor Guido Kanschat, University of Heidelberg, Germany, Wednesday

Lina Ma, Penn State, Friday

*TEA TIME -
3:00 pm – 3:30 pm
Monday & Tuesday Room: Ayres 401
Tuesday & Wednesday; Room: Ayres 4th Floor Common Area*

*Hosted by: Delong Li & Pawel Grzegrzolka*

**Monday, March 6th **

ORAL SPECIALTY EXAMINATION

SPEAKER: Ms. Vy Nguyen

TIME: 4:00pm

ROOM: Ayres 114

Her committee consist of Professors: Rosinski (chair), Y-T Chen, X. Chen.

**Tuesday, March 7th**

STOCHASTIC AND PROBABILITY SEMINAR

TITLE: Resampling under long memory

SPEAKER: Ray Bai (University of Georgia)

TIME: 2:30pm – 3:20pm

ROOM: Ayres 111

For time series with long memory, inference through resampling is of particular importance, since the asymptotic distributions are often difficult to determine statistically. To establish the asymptotic validity of certain resampling procedures, it requires a fine understanding of the dependence between two finite blocks of the time series. We shall introduce some recent progress on this direction.

**Wednesday, March 8th **

ANALYSIS SEMINAR

TITLE: Analytic deformations of commuting squares, Part 3

SPEAKER: Dr. Remus Nicoara, UTK

TIME: 2:30pm-3:20pm

ROOM: Ayres 113

Finite groups, and more generally finite dimensional Hopf C*-algebras, can be encoded in S.Popa’s commuting squares and thus used as construction data for V.Jones’ subfactors. We construct analytic deformations of such commuting squares, and present consequences to the theory of complex Hadamard matrices and the theory of subfactors.

COMPUTATIONAL AND APPLIED MATHEMATICS SEMINAR (CAM)

TITLE: Multilevel Schwarz methods with constraints

SPEAKER: Professor Guido Kanschat, University of Heidelberg, Germany

TIME: 3:35pm – 4:35pm

ROOM: Ayres 113

Schwarz methods provide a basic tool for the efficient solution of partial differential equations on modern computer architectures. In the context of domain decomposition they are used to partition large problems such that cache memory and offloading can be used effectively. In the context of multigrid smoothers for higher order finite element methods they generate the high computational intensity needed to utilize vectorizing multicore processors efficiently. Additionally, they have the capacity of obeying subspace constraints locally, leading to fast convergence for constrained problems. In this talk, we begin by reviewing cell-based nonoverlapping smoothing for elliptic problems. Then, we focus on incompressible flow problems of Stokes-, Darcy-, and Brinkman type. By employing finite elements based on cochain complexes, we prove uniform convergence and we show the efficiency of the methods with numerical
results. In the final part we investigate the application of such methods to reaction-diffusion problems arising in neutron diffusion. These are singularly perturbed problems with a dominant, nonsymmetric reaction operator with nontrivial nullspace. We discuss approaches to the analysis and show computational results.

**Friday, March 10th **

COLLOQUIUM

TITLE: Efficient Numerical Methods for Several Challenging Mathematical Models in Multiple Scales

SPEAKER: Lina Ma, Penn State

TIME: 3:35pm-4:30pm

ROOM: Ayres 405

There are many important problems arising from applied sciences that involves multiple temporal and physical scales. It is extremely important to develop efficient numerical methods that preserve essential physical properties, and provide numerical analysis of such matters. In this talk, we will view three examples in different scales. We will discuss coarse-graining method of stochastic dynamic for biomolecule, electromagnetic scattering problem, and an interface dynamo model for solar activity.

*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