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Seminars and Colloquiums
for the week of November 20, 2017


SPEAKERS

Delong Li, UTK, Monday
Jan Rosinski, UTK, Tuesday
Khoa Dinh/Jeahyun Park, UTK, Wednesday


TEA TIME
3:00 pm – 3:30 pm
Monday, Tuesday, Wednesday
Ayres 401
Hosted By: Shuler Hopkins


Monday, November 20th

ORAL EXAMINATION
TITLE: A formula for the Supersingular polynomial
SPEAKER: Delong Li, UTK
TIME: 3:35pm-4:25pm
ROOM: Ayres 113
In this talk, we will give an explicit formula for the supersingular polynomial. In particular, we will give an elementary proof for the number of supersingular elliptic curves in characteristic p.

Tuesday, November 21st

STOCHASTICS/ PROBABILITY SEMINAR
TITLE: Strong path-wise approximation of Gaussian and Levy processes, extension of Ito-Nisio theorem, and continuity of Ito map
SPEAKER: Jan Rosinski, UTK
TIME: 2:10-3:25pm
ROOM: Ayres 113
N. Wiener (1923) gave two representations of Brownian motion as random trigonometric series, and showed that these series converge path-wise uniformly. This made Brownian motion a well-defined mathematical object and explained the nature of white noise. Nowadays, such types of series representations are also used to simulate stochastic processes.  The mode and type of convergence in the series is crucial when we want to approximate output of a stochastic system (such as the Ito map) by the simulated input. The uniform convergence of the input processes is often insufficient for the convergence of the outputs, which triggered the development of rough path theory.  We take a different approach to this problem by extending Ito-Nisio theorem to non-separable function spaces. We apply this approach to show strong path-wise convergence in series expansions of Levy processes, which yields the continuity of Ito map. This talk is based on a joint work with Andreas Basse-O’Connor and Jorgen Hoffmann-Jorgensen of Aarhus University.

Wednesday, November 22nd

COMPUTATIONAL and APPLIED MATHEMATICS (CAM) SEMINAR
TITLE: Morphological Instability in Crystal Growth
SPEAKER: Khoa Dinh, UTK
TIME: 3:35-4:25pm
ROOM: Ayres 113
In this talk, we will introduce Kinetic Monte Carlo method, and show some simulation results of crystal growth by molecular beam epitaxy. We will discuss morphological instability observed in our simulation results.

TITLE: Finite Element Approximation of the p-Laplacian
SPEAKER: Jeahyun Park, UTK
TIME: 3:35-4:25pm
ROOM: Ayres 113
In this talk, I will present the key result from a paper written by John W. Barrett and W. B. Liu, which this presentation is titled after. We will discuss the error bounds of the finite element approximation of the minimization problem derived by the non-homogeneous p-Laplacian equation on a bounded two dimensional domain with a reasonable boundary condition. Though the original paper addresses the case 1?p<2, we will focus on the case p>2, and will impose a few minor restrictions for simplicity.


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:

11_13_17.html

11_6_17.html

10_30_17.html

10_23_17.html

10_16_17.html

10_9_17.html

10_2_17.html

9_25_17.html

9_18_17.html

9_11_17.html

9_4_17.html

8_28_17.html

 

last updated: November 2017

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