February 27, 1998
In Search for Quantum Gravity I
by Bharath Narayanan
Abstract: This is talk will give an introduction to mathematics
of Planck scale physics
Abstract: This is talk will give an introduction to mathematics of Planck
scale physics
Abstract : There are 2 dimensional shapes in R4 which
cannot be pushed into 3D
space. I will draw some pictures of some of these shapes, and
demonstrate
that some combinations are unknotted, while other combinations are
knotted.
by Ken Boyd
Algebraic Restrictions on 2-forms on R4
that can be factored into wedge products of 1-forms I
Abstract: This is a preliminary investigation
into conditions that assure a differential 2-forms as a wedge
products of 1-forms. We will consider the locations of zeros
of the coefficient functions of the 2-forms
under the standard basis that can predict the wedge product factorization.
by Ken Boyd
Algebraic Restrictions on 2-forms on R4
that can be factored into wedge products of 1-forms II
Abstract: This is a preliminary investigation
into conditions that assure a differential 2-forms as a wedge
products of 1-forms. We will consider the locations of zeros
of the coefficient functions of the 2-forms
under the standard basis that can predict the wedge product factorization.
by Susan Clinkenbeard
Maxwell's Equations I
Abstract: The theory of the electromagnetic
field (in a vacuum) is defined by the Lorentz Force Law
and Maxwell's four equations with their boundary conditions.
We will begin with their most familiar
form, the notation of vector analysis. Then in the four-dimensional
tensor notation of relativity, the electric and magnetic fields are described
by differential forms and exterior calculus.
Finally, electromagnetism is "redefined" through the use
of a principal fiber bundle associated
with the underlying manifold of space-time (Minkowski space), and through
the corresponding structure group, the connection, and the curvature two
form of the connection of the fiber bundle.
by Susan Clinkenbeard
Maxwell's Equations
II
Abstract: The theory of the electromagnetic
field (in a vacuum) is defined by the Lorentz Force Law
and Maxwell's four equations with their boundary conditions.
We will begin with their most familiar
form, the notation of vector analysis. Then in the four-dimensional
tensor notation of relativity, the electric and magnetic fields are described
by differential forms and exterior calculus.
Finally, electromagnetism is "redefined" through the use
of a principal fiber bundle associated with
the underlying manifold of space-time (Minkowski space), and through
the corresponding structure
group, the connection, and the curvature two form of the connection
of the fiber bundle.
by Final Exam Preparation