UIUC Mathematics Weekly Calendar

Weekly Calendar

February 5-9, 2001

Monday Tuesday Wednesday Thursday Friday

Seminars

Announcements

Conferences

Calendar Archive

Items for inclusion in the Weekly Calendar should be submitted via e-mail to Hilda Britt. Deadline for inclusion in the Weekly Calendar is 5 p.m. Thursdays. Speakers are encouraged to provide abstracts.

$Orange & Blue Bar$

MONDAY, FEBRUARY 5

3269 Beckman Institute, 3:00 p.m.: THEORETICAL BIOPHYSICS SEMINAR; Dr. Ioan Kosztin, Beckman Institute, UIUC; Mechanical Force Generation by G-proteins

245 Altgeld Hall, 4:00 p.m.: MATH 400 - INTRODUCTION TO GRADUATE MATHEMATICS; Professor Bill Haboush, Department of Mathematics, UIUC; Lie Theory and Geometry

TUESDAY, FEBRUARY 6

2 Illini Hall, 11:00 a.m.: PROBABILITY AND STATISTICS SEMINAR; Please see listing on Thursday at 11:00 a.m.

243 Altgeld Hall, 12:00 p.m.: SEVERAL COMPLEX VARIABLES SEMINAR; Professor Sanghyun Cho, Sogang University, visiting UIUC; Sobolev Estimates for d-bar, continued

241 Altgeld Hall, 1:00 p.m.: ANALYTIC NUMBER THEORY; Professor Vishwa Dumir, Panjab University; On the Diophantine equation x³(3x+1) = y²(y+1)³

243 Altgeld Hall, 1:00 p.m.: LOGIC SEMINAR; Professor Olivier Lessmann; Dimension Theory inside a Homogeneous Model; Abstract:First order model theorists often work inside a saturated universal domain. When one is interested in classes of mathematical structures which are not first order axiomatizable, such a saturated universal domain may not exist. In this talk, I will give a survey of results around dimension theory (categoricity, stability, and simplicity) for classes of mathematical structures which admit a homogeneous (not necessarily saturated) universal domain. Such classes include the first order case, as well as non first order situations like Robinson theories, e.c. models, Banach space structures, n-variable logic with amalgamation, various generic structures, etc.

345 Altgeld Hall, 2:00 p.m.: SPACES OF NON-POSITIVE CURVATURE RAP; Professor Richard Bishop; Introduction to spaces of bounded curvature (continued)

159 Altgeld Hall, 3:00 p.m.: COMMUTATIVE RING THEORY RAP; Professor Marco Schlichting, Department of Mathematics, UIUC; Intersection with Divisors

241 Altgeld Hall, 3:00 p.m.: GEOMETRIC POTPOURRI SEMINAR; Professor Ira Rosenholtz, Eastern Illinois University; News Flash: Two Points No Longer Needed - ONE Point Determines a Straight Line!; Abstract: The object of this talk is to show that ONE point determines a straight line, not the two postulated by Euclid. That is, we'll show that there is a one-to-one and onto function from the set P of all points in the plane to the set L of all lines in the plane with the additional property that if line l corresponds to point p, then p lies on l.
While it isn't difficult to provide a proof that such a function exists based on well-orderings, such proofs are not constructive. So, instead, we'll begin with one of the classical proofs of the Cantor-Schroeder-Bernstein Theorem, derive Yente the Matchmaker's Marriage Theorem, and then show that such a function exists as a consequence. Finally, we'll actually construct such a function, one that is very geometric in nature.

345 Altgeld Hall, 3:00 p.m.: GRAPH THEORY AND COMBINATORICS; Professor Douglas West, Department of Mathematics, UIUC; Hamiltonian paths in a special family of graphs; Abstract: A ``combinatorial Gray code" is a listing of a family of combinatorial structures in an order so that each is obtained from the previous one by a small change of a specified type. For example, consider the subsets of [n], and allow changes that introduce or delete the element 1 or enlarge or delete one element of the subset. These allowed adjacencies define a graph on the subsets of [n], and our problem is to find a spanning path. The graph happens to be the cover graph of a special poset that arises in other contexts. We prove that the graph has a spanning path if and only if (n+1)n/2 is odd and n does not equal 5.

WEDNESDAY, FEBRUARY 7

114 CSRL, 4:30 p.m.: INFORMATION PROTECTION SEMINAR; Mr. Bogdan Petrenko; Description of the Arithmetica Key Exchange

THURSDAY, FEBRUARY 8

2 Illini Hall, 11:00 a.m.: PROBABILITY AND STATISTICS SEMINAR; Arne Bathke, Inst. for Mathematical Stochastics, Gottingen University, Germany; Analysis of variance for a large number of treatments; Abstract: Consider the general ANOVA model with m fixed factors whose error terms are not necessarily normally distributed. We show asymptotic normality for ANOVA F test statistics for testing arbitrary main factor effects and interactions, under the assumption that the number of factor levels converges to infinity while the number of replications per factor level remains finite. Thus, F tests can be applied also for nonnormal data if the number of treatments is large. Simulation studies reveal good concordance of actual and nominal alpha-levels, even for a number of factor levels around 10. Analysis of a data set illustrates the application of the results.
Note: If you are interested in meeting Arne Bathke on February 8 and 9, please contact Usha Dhar at u-dhar@uiuc.edu or call 244-7192 to set up a time.

ESB 6.110, 12:00 p.m.: MATH - PHYSICS (BCDE) LUNCH SEMINAR; Title and speaker to be announced

241 Altgeld Hall, 1:00 p.m.: ANALYTIC NUMBER THEORY; Mr. Kevin O'Bryant; The Size and Shape of Sidon Sets; Abstract: A set S of integers is a Sidon Set if for each n, there is at most one pair a Ł b of elements of S with n = a+b. In this self-contained, elementary, and expository talk, I will give a new look at the old problem of describing the possible sizes of a Sidon Set contained in {1,2,Ľ,N}. As time permits, I will discuss recent results on the structure of the set {a+b : a Ł b, a,b Î S}.

347 Altgeld Hall, 1:00 p.m.: GROUP THEORY SEMINAR; Ms. Donghi Lee; Primitivity preserving endomorphisms of free groups; Abstract: An endomorphism f of a free group is called primitivity preserving if f takes every primitive element to a primitive one. In this talk we will prove that every primitivity preserving endomorphism of a free group of finite rank n ł 3 is an automorphism.

243 Altgeld Hall, 2:00 p.m.: ALGEBRAIC NUMBER THEORY; Mr. Thomas Kuhnt; Shimura-Taniyama-Weil in the Function Field Case; Abstract:The Shimura-Taniyama-Weil correspondence has been long known to hold in the function field case. I will try to give an overview of the objects and methods used in the proof. This will require the introduction of Drinfeld modules, Drinfeld modular curves and modular forms.

347 Altgeld Hall, 2:00 p.m.: ANALYSIS SEMINAR; Professor Peter Loeb, Department of Mathematics, UIUC; Sturdy Harmonic Functions and their Intgegral Representations; Abstract: The talk introduces sturdy harmonic functions. These functions constitute all but the least tractable of the positive harmonic functions in potential-theoretic settings. They are the uniform limits on compact sets of positive, bounded harmonic functions and are also produced by a simple integral representation on the boundary of a natural compactification of the space on which they are defined. The boundary of that compactification is metrizable, and more regular for the Dirichlet problem, in general, than is the Martin boundary if that boundary is even defined in the setting.
ALSO SEE ANNOUNCEMENT AT 3:00 p.m.

343 Altgeld Hall, 3:00 p.m.: ANALYSIS SEMINAR; Professor Niels J. Nielsen; On Cotype Properties of Symmetric Banach Spaces; Abstract:

145 Altgeld Hall, 3:00 p.m.: COLORING THEORY RESEARCH GROUP; Discussion of open problems

243 Altgeld Hall, 3:00 p.m.: COMMUTATIVE RING THEORY RAP; Andrew Richardson; The Frobenius Map

347 Altgeld Hall, 3:00 p.m.: GALOIS MODULES; Professor Marcin Mazur, Department of Mathematics, UIUC; Application of trees and Euler systems to the lifted root number conjecture, continued

245 Altgeld Hall, 4:00 p.m.: MATHEMATICS COLLOQUIUM; Professor Peter Kuchment, Department of Mathematics, Wichita State University; Differential operators on graphs as models of mesoscopic systems; Abstract: Differential (rather than difference) equations on graphs have arisen during the past decade as models of many important physical systems ranging from molecules with conjugated bonds to quantum wires, to photonic crystals. In these cases one often deals with propagation of electronic, electromagnetic, or acoustic waves in thin domains forming a graph-like structure. In the asymptotics of a very thin domain, one expects the wave propagation to be governed by a model on the resulting graph. The talk will contain a survey of this area of research. The particular topics that will be addressed include description of the situations when such differential or pseudo-differential models on graphs arise naturally, known and conjectured results on convergence to the graph models, and some conclusions one can derive from such models.
Refreshments at 3:15 pm in Room 321 Altgeld Hall

FRIDAY, FEBRUARY 9

243 Altgeld Hall, 4:00 p.m.: MODEL THEORY SEMINAR; Mr. Matthias Aschenbrenner; Expansions of algebraically closed fields in o-minimal structures; Abstract:We continue to study the paper of Peterzil and Starchenko with the same title.