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 longtime 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
KnutsonTaoWoodward for computing the product of two basis elements
in
the ring (the socalled 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 GromovWitten
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 TimeScale analysis, including
discrete
and continuous wavelet transforms, and their generalizations.
We will also present a possible path for merging TimeFrequency and
TimeScale 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 physicsbased discrete schemes
to PDE's and movingboundary 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 