Seminar Schedule
November 5 - November 9, 2007
All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.
MONDAY, November 5, 2007
Algebra
2:30pm, Room 410
Speaker: Irfan Bagci, University of Georgia
Title of talk: Cohomology and Support Varieties for W(n)
Abstract: V.Kac classified finite dimensional simple Lie superalgebras over the field of complex numbers. They constitute several series and are divided into two types based on their even part: classical type and Cartan type. Lie superalgebras of Cartan type consists of four series W(n), S(n), S^{~}(n), and H(n). I will briefly introduce Cartan type Lie superalgebras and then I will show how explicitly one can compute cohomology and support varieties for W(n). I will also mention what we have for S(n).
This talk represents joint work with Jonathan Kujawa, and Daniel Nakano Nakano.
Topology
2:30pm, Room 303
Speaker: Maxim Arap, University of Georgia
Title of talk: Variation formulas and a characterization of geodesics on Riemannian manifolds.
Abstract: I will state and prove the first variation formula of energy of curves in a Riemannian manifold and use it to give a characterization of geodesics. Next, I will state the second variation formula and finish by a discussion of the curvature tensor on a Riemannian manifold.
Faculty and Graduate Social
3:00pm, Room 409
Coffee, Tea, Cookies
TUESDAY, November 6, 2007
VIGRE - Graduate Student Seminar
2:00pm, Room 304
Speaker: Qianying Hong, University of Georgia
Title of talk: Partial Differential Equations in Image Analysis
Abstract: Partial Differential Equations have been well studied in image
analysis. In the talk, I will give an introduction to several famous PDE
models in image analysis like: noise removing and edge enhancing. This
time I will focus on the idea of level set and total variation in image
analysis.
FRG Analysis and Additive Combinatorics Working Group
3:30pm, Room 410
WEDNESDAY, November 7, 2007
Algebraic Geometry
2:30pm, Room 410
Speaker: Valery Alexeev, University of Georgia
Title of talk: K3 surfaces: classical and tropical
Abstract: Part 2: tropical abelian varieties and K3 surfaces.
Faculty and Graduate Student Social
3:00pm, Room 409
Coffee, Cookies, Tea
Arithmetic Geometry/Number Theory
3:30pm, Room 304
Speaker: Ken McMurdy, Ramapo College
Title of talk: Stable Reduction of Modular Curves.
Abstract: This talk will begin with an introduction to the equivalent notions of semi-stable reduction and semi-stable covering for an algebraic curve defined over a complete subfield of C_p. With examples, we will show how the stable reduction and associated inertia action can in some cases be computed quite explicitly. We then turn our attention to our current program for computing the stable reduction of the modular curve X_0(p^n) as a curve over Q_p. Part of our strategy involves explicit analysis based on approximation formulas of Gross-Hopkins. Equally fundamental to our work, however, is moduli-theoretic reasoning. This means that we think of points of X_0(p^n) as elliptic curves with level structure, and study p-adic properties of the associated elliptic curves. Both aspects will be discussed in some detail, as well as the current state of our work.
Mathematical Physics
3:45pm, Room 302
Speaker: Brad Bassler and Robert Varley, University of Georgia
Title of talk: Caratheodory's approach to integrating factors and their application in thermodynamics
THURSDAY, November 8, 2007
Applied Math
2:00pm, Room 302
Speaker: Dr. John Schramski, Faculty of Engineering of UGA
Title of talk: Indirect Effects and Distributed Control in the Environ Networks of a Seven-Compartment Model of Nitrogen Flow in the Neuse River Estuary, USA
Abstract: Comparative network environ analysis (NEA) is used to holistically explore controlling relationships in ecosystems. The term /distributed control/ is adopted to describe a diffuse and decentralized concept of control residing in the complexity of organization. Starting with “open-loop” control theory parlance, three ecological control metrics (control ratio, CR; control difference, CD; and system control, sc_j ) are mathematically derived in an environ-theoretic framework by considering pair-wise and system-wide distributed control relationships. These control relationships are then evaluated for 16 consecutive seasons of nitrogen cycling in the Neuse River Estuary, North Carolina, USA (Christian and Thomas 2003). Results of this assessment offer a quantitative measure of the quasi-dynamic distributed control in this network.
VIGRE Tropical Geometry
2:00pm, Room 304
VIGRE Number Theory
2:30pm, Room 326
VIGRE Algebraic Geometry
3:30pm, Room 323
VIGRE Circle Packing
3:30pm, Room 222
FRIDAY, November 9, 2007
VIGRE Algebra
1:30pm, Room 302
Geometry
2:30pm, Room 410
Speaker: John McCuan, Georgia Tech
Title of talk: Symmetric CMC surfaces in the three-sphere
Abstract: I will review the classification theorem(s) for CMC surfaces with various symmetry properties in the three sphere. A recent reworking of the proof yeilds some new similarities of these surfaces with the Delaunay surfaces, and at some level, we hope the make the entire family as accessible as their Delaunay counterparts.
In addition to discussing some families of surfaces in the moduli space (namely the embedded tori) I will also try (time permitting) to discuss some notions of generalized symmetry and relations among them.