Seminar Schedule
February 7- February 11, 2005

All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.

MONDAY, February 7, 2005

Algebra
2:30 – 3:30p.m., Room 410
No Meeting this week

Probability Theory
2:45-4:00p.m., Room 222
Speaker: C. Zhuang, University of Georgia
Title of talk: Asymptotic expansion of probability distribution of a Markov chain

Faculty and Graduate Social
3:00 p.m., Room 409
Coffee, Cookies, Tea

Lie Theory
3:30-4:30p.m., Room 303
No Meeting this week

Topology
3:30-4:30p.m., Room 326
Speaker: Will Kazez, University of Georgia
Title of talk: Ozsvath-Szabo invariants
Abstract: Computing conformal invariants of surfaces with hyperbolic geometry

CATS
4:40-5:30p.m., Room 306
Speaker: Jacob Martin, Department of Computer Science, University of Georgia
Title of talk: Subproblem optimization by gene correlation with singular value decomposition
Abstract: Empirical evidence, concerning document comparison, indicates that singular
value decomposition (SVD) results both in a savings in storage space and an improvement in information retrieval. This paper indentifies a particular way of using SVD in genetic algorithms. Briefly, subproblems for the genetic algorithm to work on are discovered by projecting vectors representing the genes of highly fit individuals into a new low-dimensioal space, obtained by truncating the SVD of a gene x individual matrix. Combining theoretical results and algorithms discovered by others, several problems, including the NP-Complete Graph Bisectioning problem, are identified that the SVD can be used with to determine a substructure. SVD exposes the most striking similarities between genes in the most highly fit individuals in the optimization history. These similarities are used to influence the direction of the GA's search process by limiting the locus of optimization to the genes that are used similarly across highly fit individuals. By restricting the locus of optimization to the substructure of
highly fit individuals, the performance oF the genetic algorithm is improved.

More details can be found in this link:
http://www.cs.uga.edu/~martin/GeneCorrelation.pdf

TUESDAY, February 8, 2005

VIGRE Graduate Student Seminar
2:00p.m., Room 304
Title: Tutorial -- How to make a webpage

Dynamics on Berkovich Space
3:30-5:30p.m., Room 326
No Meeting this week

Joint Analysis Seminar
3:30p.m., Room 304
Organizational meeting

WEDNESDAY, February 9, 2005

Spline Analysis
1:30-2:30pm, Room 326
Speaker: V. Baramidze, University of Georgia
Title of talk: Markov's Inequality over Spherical Triangles, continued

Algebraic Geometry
2:30-3:45 p.m., Room 410
Speaker: Peter Petrov, University of Georgia
Title of talk: The Nash conjecture on the arc spaces
Abstract: This conjecture relates arc families through the singular locus of an
algebraic variety and the set of essential divisors of a given resolution (these are the exceptional divisors, "appearing" on any resolution). Nash defined a map from the first set to the second, proved that it is injective and conjectured that it is bijective (Nash, 1995). In this talk, after introducing the needed notions, we will prove that this holds in the case of toric variety but fails in general (Ishii, Kollar, 2003). Then the embedded Nash problem will be formulated with an affirmative solution in the case of an invariant ideal on a toric variety (Ishii, 2003). Finally, some other classes of varieties for which the Nash conjecture is true will be mentioned shortly (after Plenat, 2003).

VIGRE – Cardiac Physiology
2:30p.m., Room 640

Faculty and Graduate Social
3:00 p.m., Room 409
Coffee, Cookies, Tea

VIGRE-Algebra
3:30p.m. , Room 303
Speakers: Brian Boe, Daniel Nakano, University of Georgia
Title of talk: Using Magma to compute support varieties beyond p^2

Number Theory
3:45-5:15pm, Room 304
Speaker: Robert Rumely, University of Georgia
Title of talk: Ih's conjecture for elliptic curves

THURSDAY, February 10, 2005

VIGRE – Algebraic Geometry
2:00p.m., Room 304

Student Arithmetic/Algebraic Geometry Seminar
3:30p.m., Room 304
Speaker: Joe Rusinko, University of Georgia
Title of talk: Introduction to Mirror Symmetry
Abstract: Mirror symmetry is an mathematical side effect of the physics of string theory. I will give a brief introduction to the mathematimatical mirror symmetry. Physicists are interested in a special kind of varietiy known as a Calabi-Yao. We will discuss several methods for finding mirror families for certain Calabi-Yao manifolds.

FRIDAY, February 11, 2005

Geometry
2:30p.m., Room 326
Speaker: Malcolm Adams, University of Georgia
Title of talk: The Replicator Equations of Evolutionary Game Theory
Abstract: After a brief introduction to a nonlinear system of ordinary differential equations known as the replicator equations of
evolutionary game theory, I will describe the solutions for a large class of such systems.

VIGRE – Clifford Algebras
3:30-4:30p.m. Room 302

Wavelet Analysis
3:30-4:30p.m., Room 322
Speaker: Ming-Jun Lai, University of Georgia
Title of talk: The reversed polynomials (Christoffel-Darboux formula), continued