Seminar Schedule
May 1-2, 2006
All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.
MONDAY May 1, 2006
Geometry-Topology Seminar
2:30pm, Room 222
Speaker: Ken Baker, University of Georgia
Title of talk: Genus one fibered knots and three string
braids
Abstract: We'll illustrate how genus one fibered knots in closed
orientable 3-manifolds can viewed in terms of braid axes of closed three string
braids. With this perspective, we can enumerate the genus one fibered knots
in lens spaces and see large families of knots in lens spaces that admit non-trivial
lens space surgeries.
Algebra
2:30pm, Room 410
Speaker: TBA
Title: TBA
Faculty and Graduate Student Social
3:00pm, Room 409
Coffee, Cookies, Tea
TUESDAY, May 2, 2006
VIGRE-Graduate
Student Seminar
10:30am, Room 304
Speaker: Andrew Raich, Texas A&M
Title of talk: An introduction to the spectral theorem
with an application to PDEs
Abstact: I will begin the talk with a sketch of the ideas which
comprise the spectral theorem and the functional calculus for self-adjoint operators
on a Hilbert space. From there, I will introduce the spectral measures and give
an application of the spectral theorem for unbounded operators to "solving"
linear, elliptic PDE via heat semigroups. No knowledge of PDEs is required for
the talk, but some knowledge of measure theory and basic functional analysis
(Riesz Representation Theorem, self-adjoint operators, etc) will be helpful.
This talk will serve as an introduction to the analysis seminar to be given later in the day.
Analysis
2:00pm, Room 304
Speaker: Andrew Raich, Texas A&M
Title of talk: Pointwise estimates on kernels of a family
of heat equations in $\mathbb R\times \mathbb C$ with applications to several
complex variables.
Abstract: I discuss a number of problems in several complex
variables whose analysis reduces to understanding a particular one-parameter
family $\Box_{\tau}$ of differential operators in $\mathbb C$. I solve $\Box_\tau$
via its heat equation and discuss a method to obtain pointwise estimates on
the integral kernel of the solving operator. To continue the spectral theorem
theme of the VIGRE talk, I will emphasize the techniques used which heavily
involve the spectral theorem.