Seminar Schedule
April 4 - 8, 2005

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

MONDAY, April 4, 2005

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

Probability Theory
2:45 - 4:00p.m., Room 222
No Meeting this week

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: Gordana Matic, University of Georgia
Title of talk: TBA

CATS
4:40-5:30p.m., Room 306
Speaker: Chunmei Liu, Dept. of Computer Science, University of Georgia
Title of talk: "Subgraph isomorphism, tree decomposition, and fast search of RNA
secondary structure in genomes", part II



TUESDAY, April 5, 2005

VIGRE Graduate Student Seminar
2:00p.m., Room 304
Speaker: Malcolm Adams will be speaking.
Title of talk: Poincare-Hopf Theorem and the Replicator Equations of Evolutionary
Game Theory

Dynamics on Berkovich Space
2:30 PM Room 326
No Meeting this week


WEDNESDAY, April 6, 2005

Spline Analysis
1:30-2:30pm, Room 326
Speaker: V. Baramidze, University of Georgia
Title of talk: Minimal energy spherical spline interpolation, continued

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

Algebraic Geometry
2:30p.m., Room 410
Speaker: Joe Fu, University of Georgia
Title of talk: Operations on unitary valuations
Abstract: We describe some operations, defined by S. Alesker, on the space of convex valuations on a finite-dimensional real vector space. Their existence follows from his Irreducibility Theorem for convex valuations, but in concrete terms they remain mysterious. I will discuss some questions and results about them in the restricted case of valuations on C^n invariant under the unitary group U(n).

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

VIGRE-Algebra
3:30-4:30pm, Room 303
Organizers: Brian Boe and Daniel Nakano, University of Georgia
Title of activity: Reports on prior computations using ``Specht'', special partitions

Number Theory
3:45-5:15pm, Room 304
Speaker: Dino Lorenzini, University of Georgia
Title of talk: On the equivalence between the Birch and Swinnerton-Dyer
conjecture and the Artin-Tate conjecture.
Abstract: I will recall the two conjectures in the title, and describe some joint work with Liu and Raynaud.


THURSDAY, April 7, 2005

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

Student Arithmetic/Algebraic Geometry Seminar
3:30p.m., Room 304
No Meeting this week

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

FRIDAY, April 8, 2005

Geometry
2:30p.m., Room 326
Speaker: Jason Parsley, University of Georgia
Title of talk: Calculating the writhe of a knot
Abstract: The writhe of a knot measures how much the curve wraps and coils
around itself. We discuss Calugareanu's formula "Link = Twist + Writhe"
with a demonstration. The majority of the talk will follow a 1995 paper by
Aldinger, Klapper, and Tabor which calculates and estimates writhe through
a variety of approaches. Most of this talk should be well-suited for
graduate students.


Joint Analysis
3:30p.m., Room 303
Speaker: Ken Johnson, University of Georgia
Title of talk: G-equivariant differential operators on homogeneous vector bundles
Abstract: Suppose \,$G$\, is a noncompact real semisimple Lie group with parabolic subgroup \,$P$\,
having Levi decomposition $P=Z_PN_P$. Let $V_i\,\,\,(i=1,2)$ be finite dimensional vector spaces over $\mathbf C$. Fix
$$\pi_i:Z_P\rightarrow GL(V_i)\,\,\, (i=1, 2)$$ two irreducible representations. Extend $\pi_i$ to $P$ by setting $\pi_i(N_P)=I$. Consider the vector bundles $G\times_{\pi_i}V_i \,\,(i=1,2)$.\, over $G/P$. Using results of Bernstein, Gelfand, Gelfand on Verma modules, we characterize all $G$-equivariant differential operators $D$ where $$D:\Gamma^\infty(G\times_{\pi_1}V_1) \rightarrow\Gamma^\infty(G\times_{\pi_2}V_2).$$

This is joint work with Adam Koranyi.

VIGRE – Clifford Algebras
3:30-4:45p.m. Room 302

Wavelet Analysis
3:30-4:30p.m., Room 322
Speaker: H. P. Liu, University of Georgia
Title of talk: Prewavelets in Sobolev spaces, continued