Department of Mathematics

The Florida State University

This Week in Mathematics

1 - 5 March

Monday: 1 March 1999

No Graduate Student Seminar, 1:30 p.m., 204B Love Building

Statistical Genomics Talk, 11:15 a.m., 555 IMB Building

Lei Li, Statistics Dept., Florida State University

Statistical Models of DNA Sequencing and Base-calling

Base-calling is a central part in any large-scale genomic sequencing effort. The current Sanger's sequencing technique is a combination of enzymatic reactions, electrophoresis and fluorescence-based detection techniques. This procedure produces a four-component vector time series: the fluorescence intensities. Base-calling is the analysis part of DNA sequencing, which estimate the underlying DNA sequence from the above vector series. We describe the DNA sequencing procedure by a series of models: hidden Markov coder, mobility shift, convolution, cross-talk, and measurement process. This provides us with a natural framework for probabilistic base-calling.

Tuesday: 2 March 1999

Algebraic Geometry Seminar, 2:00 p.m., 102 Love Building

Becky Goforth, Florida State University

More Projective Varieties

No Applied Topology Seminar, 3:35 p.m., 104 Love Building

go to Lei Li Statistics Talk

Wednesday: 3 March 1999

(Real) Analysis Seminar, 2:30 p.m., 201 Love Building

Reading through “Oscillatory Integrals with Polynomial Phases” by Phong and Stein

No Complex/Symbolic Seminar, 3:35 p.m., 102 Love Building

Thursday: 4 March 1999

Algebra Seminar, 2:00 p.m., 104 Love Building

Eriko Hironaka, Florida State University

Lie Algebras and Representation Theory

Topology Tea Time, 3:00 p.m., 204 Love Building

Topology Seminar, 3:35 p.m., 104 Love Building

Eric Klassen, Florida State University

The Cohomology of Moduli Space

Special Colloquium Coffee, 1:00 p.m., 499 SCRI
Special Colloquium, 1:30 p.m., 499 SCRI

Jiwen He, University of Houston

Active Control and Drag Optimization for Incompressible Viscous Flow Past a Circular Cylinder

The main objective of this talk is to investigate computational methods for the active control and drag optimization of incompressible viscous flow past cylinders, using the two-dimensional Navier-Stokes equations as the flow model. The computational methodology relies on the following ingredients: space discretization of the Navier-Stokes equations by finite element approximations, time discretization by a second order accurate two step implicit/explicit finite difference scheme, calculation of the cost function gradient by the adjoint equation approach, minimization of the cost function by a quasi-Newton method a la BFGS. The above methods have been applied to the boundary control by rotation of the flow around a circular cylinder and show $30\%$ to $60\%$ drag reduction, compared to the fixed cylinder configuration, for Reynolds numbers in the range of 200 to 1000.

Friday: 5 March 1999

Colloquium Coffee, 3:00 p.m., 204 Love Building
Colloquium, 3:30 p.m., 101 Love Building

Ettore Aldrovandi, SISSA, Italy

Higher Algebraic Structures from String Theory

The last ten years have witnessed enormous progress in those areas of Mathematics connected with String Theory---we use this term both in a strict sense and as a 'container class' name to include also closely related areas like Conformal Field Theory, Topological Field Theory and others.
   One important lesson has been to consider the dynamics of extended objects (higher dimension) beside and beyond that of point-like ones (zero dimension). The latter lead to familiar concepts in Geometry and Analysis, such as those of trajectory, bundles, connections, curvartures and holonomy. The former force us to consider higher dimensional analogs of these constructions, hence the term 'higher algebraic structure': trajectories are replaced by (p+1)-dimensional manifolds swept by p-dimensional moving objects, curvatures have degree p+2, connections are described by forms of degree from 1 to p+1, holonomies are (p+1)-dimensional and bundles, or rather their description as sheaves of sets must be replaced by sheaves of categories---the so-called 'gerbes'.
   I will illustrate the above circle of ideas keeping technicalities to a minimum. As an application, I will present a construction of a functional for quasi-conformal mappings between Rieman Surfaces suggested by String Theory itself.

No Scientific Computing Seminar, 4:30 p.m., 200 Love Building

Seminars and colloquia at "that other" university [a.k.a. the University of Florida]

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