Mathematics
Colloquia, Fall 2006
Talks are at 3:30 p.m. in South Hall, Room 6635, on Thursdays; preceded by tea at 3 pm in SH 6623.
| Thursday
Oct. 12, 2006
|
Andrea Bertozzi, UCLA
Title:
Swarming by Nature and by Design
Abstract: The cohesive movement of a biological population is
a commonly observed natural phenomenon.
With the advent of platforms of unmanned vehicles, this occurrence
is attracting renewed interest from the engineering community.
This talk will review recent research results
on both modeling and analysis of biological swarms and
also design ideas for efficient algorithms to control groups of
autonomous agents.
For biological models we consider two kinds of systems:
driven particle systems based on force laws
and continuum modelsÊÂÊbased on kinematic rules.
Both models involve long-rage social attaction and short range dispersal
and yield patterns involving clumping, mill vortices,
and surface-tension-like effects.
For artificial platforms we consider the problem of boundary tracking
of an environmental material and consider both computer models
and demonstrations on real platforms of robotic vehicles.
We also consider the motion of vehicles using artificial potentials.
Contact person: Bjorn Birnir
|
| Thursday
Nov. 2, 2006 |
Harold Donnelly, Purdue University
Title:
Spectral Stability of Riemannian Manifolds
Abstract: Let (M,g) be a complete Riemannian manifold and L(g) the
associated Laplace operator acting on functions.We say that M is
spectrally stable if any sufficiently small perturbation g' of g yields a
Laplacian L(g') which is unitarily equivalent to L(g).This concept is due
to F.Xavier.We begin by presenting various examples chosen to illuminate
the significance of spectral stability.A proof that Riemannian symmetric
space are spectrally stable will then be sketched.
Contact person:
Xianzhe Dai
|
| Thursday
Postponed to May 3 (tentative) |
Mike Anderson, SUNY Stony Brook
Title:
TBA
Abstract:
Contact person:
Xianzhe Dai
|
| Thursday
Nov. 16, 2006 |
Bjorn Birnir, UCSB
Title: Turbulence of Uniform Flow
Abstract: Click here
Contact person:
|
| Thursday
Dec. 7, 2006 (cancelled, visa problem) |
Gadadhar Misra, Indian Statistical Inst.-Bangalore
Title:
TBA
Abstract:
Contact person:
Mihai Putinar
|
| Thursday
TBA |
TBA
Title:
TBA
Abstract:
Contact person:
TBA
|
|
