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The University of Tennessee

Mathematics Department

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Seminars and Colloquiums
for the week of April 12, 2010


Speaker:
Mr. Zhiqiang Li, Monday
Mr. Harold Smith, Wednesday
Professor Carl Sundberg, Wednesday
Professor Jim Isenberg of University of Oregon, Friday


Monday, April 12

PROBABILITY SEMINAR
TIME:  10:10 – 11:00 a.m.
ROOM:  AC 113
SPEAKER:  Mr. Zhiqiang Li
TITLE: “UNIFORM CONVERGENCE OF A BRANCHING PARTICLE FILTER “
ABSTRACT: Recently, various particle filters have been proposed and their convergence to the optimal filter studied. Most of the convergence results obtained are for finite time intervals. Some uniform convergence results for discrete time filters are established by some authors. In this paper,
we prove the uniform convergence of a branching particle filter for continuous time setup when the optimal filter itself is exponentially stable.

Wednesday, April 14

ALGEBRA SEMINAR
TIME:  3:30 p.m.
ROOM:  113 A
SPEAKER:  Mr. Harold Smith
TITLE: “Quadratic Residues in Function Fields”
ABSTRACT: Let Fq[T] be the ring of polynomials in one variable over the finite field Fq. We present a proof of the Law of Quadratic Reciprocity over Fq[T] which uses tools from elementary number theory.

ANALYSIS SEMINAR
TIME:  3:35 p.m.
ROOM:  HBB 132
SPEAKER:  Professor Carl Sundberg
TITLE: “Nonharmonic Fourier Series – CONTINUATION
ABSTRACT: (see pdf)

I will give an introduction to nonharmonic Fourier series and discuss some recent joint work with Marcus Carlsson.

Friday, April 16

COLLOQUIUM
TIME:  3:35 – 4:25 p.m.
ROOM:  HBB 102
SPEAKER:  Professor Jim Isenberg of University of Oregon
TITLE: “Black Holes, the Big Bang, and the Cosmic Censor”
ABSTRACT: Einstein's theory of general relativity predicts that in universes like ours, breakdowns in the physics (know as "singularities")  generally develop, both on the cosmological and on the astrophysical scale. What we don't yet know is what the nature of those singularities is likely to be. Generally speaking, the singularities come in two types: the sort that involve everything being crushed in huge gravitational fields, and the sort that involve the breaking down of physical determinism. Which should we expect?

Roger Penrose has conjectured that only in very special cases does the evolving gravitational field force a breakdown in physical determinism. Generally, he suggests, we all get crushed. He has also conjectured that in almost all cases, when an astrophysical singularity forms, it is contained inside a black hole. These ideas  have been called the Cosmic Censorship conjectures. We present some of the history of these conjectures, and we discuss  some of the recent mathematical evidence that the Cosmic Censorship conjectures are true.


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. Steve Wise.


Week of:

4_5_10.html

3_29_10.html

3_22_10.html

3_15_10.html

3_8_10.html (spring break)

3_1_10.html

2_22_10.html

2_15_10.html

2_8_10.html

2_1_10.html

1_25_10.html

1_18_10.html

12_09_break

11_30_09.html

11_23_09.html

11_16_09.html

11_09_09.html

11_02_09.html

10_26_09.html

10_19_09.html

10_12_09.html

10_5_09.html

9_28_09.html

9_21_09.html

9_14_09.html

9_7_09.html

8_31_09.html

8_24_09.html

Past notices:

Seminars from 2008-2009 academic year

Seminars from 2007-2008 academic year

Seminars from 2006-2007 academic year

Seminars from 2005-2006 academic year