Seminars and Colloquiums
for 2010-2011
Week of September 20, 2010
Speaker:
Professor Vasileios Maroulas, Monday
Mr. Jacob Ogle, Monday
Professor Vlastimil Krivan, Tuesday
Ms. Miun Yoon, Tuesday
Dr. Blanca Ayuso de Dios, from
Centre de Recerca Matematica (CRM), Barcelona, Spain, Wednesday
Mr. Chuan Li, Thursday
Professor Bianca Santoro, The City College of New York, Friday
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 Dr. Fernando Schwartz.
Monday, September 20
PROBABILITY SEMINAR
TIME: 10:10 – 11:00 am
ROOM: Temple 303
SPEAKER: Professor Vasileios Maroulas
TITLE: "Improved particle filters and an application in the problem of multi-target tracking-Part I"
ABSTRACT: A novel approach for improving particle filters is presented. The suggested approach is based on Girsanov's change of measure theorem for stochastic differential equations. Girsanov's theorem is used to design a Markov Chain Monte Carlo step which is appended to the particle filter and aims to bring the particle filter samples closer to the observations. The proposed approach is applied in the problem of multi-target tracking for both linear and nonlinear observation models. Also, a simple Metropolis Monte Carlo algorithm for tackling the target-observation association problem is presented. The numerical results show that the suggested approach can improve significantly the performance of a particle filter. The talk will be based on joint works with Ron Mahler and Panos Stinis.
ALGEBRA SEMINAR
TIME: 3:35 pm
ROOM: AC 113A
SPEAKER: Mr. Jacob Ogle
TITLE: When is $k[f]$ the ring of constants of a derivation? (Part 2)
ABSTRACT: We will begin with a brief introduction to derivations. Next, we consider $k[f]$, a subdomain of a polynomial ring over a field $k$, and consider some necessary conditions for
$k[f]$ to be the field of constants of some derivation. When these conditions are fulfilled, we will demonstrate a construction of the desired derivation.
Tuesday, September 21
NIMBIOS SEMINAR
TIME: 9:30 am
ROOM: NIMBioS Classroom
SPEAKER: Professor Vlastimil Krivan
TITLE: Further studies of interactions between predators and prey.
DOCTORAL DEFENSE
TIME: 2:30 pm
ROOM: Temple Court 303
SPEAKER: Ms. Miun Yoon
TITLE: "Differential Equation Models and Numerical Methods for
Reverse Engineering Genetic Regulatory Networks"
Her committee consists of Professors: Xiaobing Feng (chair), Suzanne Lenhart , Steve Wise, and Albrecht von Arnim (BCMB).
Wednesday, September 22
COLLOQUIUM
TIME: 3:35 – 4:25 p.m.
ROOM: HBB 136
SPEAKER: Dr. Blanca Ayuso de Dios, from
Centre de Recerca Matematica (CRM), Barcelona, Spain
TITLE: "Discontinuous Galerkin approximation to the Vlasov-Poisson system"
ABSTRACT: One of the simplest model problems in the kinetic theory of plasma--physics is the Vlasov-Poisson (VP) system with periodic boundary conditions. Such system describes the evolution of a plasma of charged particles (electrons and ions) under the effects of the transport and self-consistent electric field. In this talk, we construct a family of Discontinuous Galerkin (DG) methods for the approximation of the Vlasov-Poisson system. The schemes are based on the coupling of DG approximation to the Vlasov equation (transport equation) and several finite element (conforming, non-conforming and mixed) approximations to the Poisson problem. We shall present the error analysis in the case of smooth solutions and discuss some further properties of the proposed methods.
The talk is based on joint works with J.A. Carrillo (Universidad Autonoma de Barcelona) and Chi-Wang Shu (Brown University). If time allows, we shall also comment on some ongoing research on the issue of approximating non-smooth solutions of the VP system.
Join us for refreshments available at 3:15 in AC113.
Thursday, September 23
APPLIED/COMPUTATIONAL MATH SEMINAR
TIME: 5:10 – 6:00 p.m.
ROOM: AC 113
SPEAKER: Mr. Chuan Li
TITLE: "Time and Space Parallization Using the Parareal Algorithm"
ABSTRACT: The "parareal" algorithm (first proposed in 2001 by JL Lions, Y Mayday, G Turinici) appears to be an effective algorithm for time parallelization of PDEs when many processors are available. We present the main idea of parareal and how space parallelization can be incorporated to achieve time-and-space parallelization. We apply the algorithm to a diffusion-reaction PDE (cable equation) coupled to a system of highly nonlinear ODEs governing the source (reaction) term, which models electrical propagation in cardiac myocytes, and compare the performance of various time-stepping schemes (explicit and implicit, high order and low order, adaptive and non-adaptive).
Friday, September 24
COLLOQUIUM
TIME: 3:35 – 4:25 pm
ROOM: HBB 102
SPEAKER: Professor Bianca Santoro, The City College of New York
TITLE: "Complete Kahler Ricci-flat metrics on resolutions of singularities"
ABSTRACT: We will first decipher all the obscure words used in the title, discuss some existence results for complete Calabi-Yau metrics on crepant resoutions of singularities, and as an application, show some non-trivial examples of Ricci-flat manifolds.
Join us for refreshments available at 3:15 in AC113.
Past notices:
Seminars from 2009-2010 academic year
Seminars from 2008-2009 academic year
Seminars from 2007-2008 academic year
Seminars from 2006-2007 academic year