Fall 2007, 4:00 pm, MATH 3206
|
Oct 3
|
Vadim Kaloshin
|
On relative equilibria for the Newtonian N body
problem and conjectures of Smale and Saari.
|
Oct 10
|
Vadim Kaloshin
|
On density of collisions and syzygies
conjectures for the Newtonian 3 body problem.
|
|
|
|
Oct 17
|
Radu Balan
|
Nonlinear Signal Reconstruction: Moving beyond Linear Transformations
and Left Inverses
|
Oct 24
|
Radu Balan
|
Stochastic Modeling in Wireless Local Area Networks
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Spring 2007, 4:00pm,
MATH3206
|
March 12
|
Leonid Koralov
|
An Introduction to Stochastic Integrals and the Ito
Formula, with Applications.
(Time change due to a faculty
meeting:
4:30pm- 5:30pm)
Abstract: We'll motivate the notion of the stochastic integral, sketch the
proof of the existence of the Brownian Motion, and discuss Ito's
formula.
We'll then use Ito's formula to describe the long-time behavior of a
particle
in a random flow.
|
Apr 9
|
Harry Tamvakis
|
From linear algebra and puzzles to quantum cohomology
(Time change due to a faculty
meeting:
4:30pm- 5:30pm)
The cohomology ring of the Grassmannian has been studied for
well over a century, but in recent years there have been surprising
twists
to the story. In my first talk I will use only linear algebra to
construct
this ring from scratch and then describe the beautiful puzzle rule of
Knutson-Tao-Woodward for computing the product of two basis elements
in
the ring (the so-called Schubert classes). We will conclude with a
conjectural extension of this rule to the quantum cohomology of the
same space. My second talk will combine geometry, topology, and
representation theory to compute a complicated but elementary sum of
rational
functions; again the Grassmannian will play a central role. The
techniques I
will discuss have wide applications of great importance,
for instance in the computation of intersection numbers over the
moduli
space of Riemann surfaces, or more generally, of Gromov-Witten
invariants.
|
Apr 16
|
Harry Tamvakis
|
"How to get a PhD by evaluating a finite sum"
(Time change due to a faculty
meeting:
4:30pm- 5:30pm) |
Apr 23
|
Leonid Koralov
|
Introduction to stochastic calculus, continued
|
| May 7 |
Wojciech Czaja |
Mathematics behind signal processing
We shall discuss several aspects of Time-Scale analysis, including
discrete
and continuous wavelet transforms, and their generalizations.
We will also present a possible path for merging Time-Frequency and
Time-Scale analysis.
|
Fall 2006, 4:00 pm, MATH3206
|
Date
|
Speaker
|
Title
|
Oct 9
|
Math 695 |
TA Teaching seminar
|
Oct 16
|
Bulent Atalay (U of Mary Washington)
|
Leonardo
da Vinci and the Mathematics of Aesthetics |
Oct 18
|
Dionisios Margetis
|
Mathematical modeling I: From physics-based discrete schemes
to PDE's and moving-boundary problems
(Time change due to a faculty meeting:
4:30pm- 5:30pm) |
Oct 30
|
Kasso Okoudjou |
Introduction to analysis on fractals |
Nov 6
|
Kasso Okoudjou |
Introduction to analysis on fractals, Part II |
Nov 13
|
Math 695 |
TA Teaching seminar |
Nov 15
|
Dionisios Margetis |
Mathematical modeling II: Aspects of computing from the
perspective of Schrodinger's PDE |
Nov 20
|
Wojciech Czaja
|
Mathematics behind signal processing I |
| Nov 27 |
Wojciech Czaja |
Mathematics behind signal processing II |
| Nov 29 |
Laura Taalman (James Madison Univ) |
Mathematics of Sudoku (Starts
at 4:30pm due to a committee meeting)
|
| Dec 4 |
Math 695 |
TA seminar meeting |
