Weekly Calendar

April 30 - May 4, 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, APRIL 30

245 Altgeld Hall, 4:00 p.m.
MATH 400 - INTRODUCTION TO GRADUATE MATHEMATICS
Professor John E. Wetzel, Department of Mathematics, UIUC
Fits and Covers
Abstract: We examine a variety of mostly unsolved problems in elementary Euclidean plane geometry - variations on the theme of fitting one geometric figure into another.

TUESDAY, MAY 1

345 Altgeld Hall, 11:00 a.m.
MAX NEWMAN TOPOLOGY
Po Hu, University of Chicago
The Real-oriented Adams-Novikov spectral sequence and Greek letter elements

2 Illini Hall, 11:00 a.m.
PROBABILITY AND STATISTICS SEMINAR
no meeting this week

243 Altgeld Hall, 12:00 p.m.
SEVERAL COMPLEX VARIABLES SEMINAR
no meeting this week

241 Altgeld Hall, 1:00 p.m.
ANALYTIC NUMBER THEORY
Professor Kenneth B. Stolarsky, Department of Mathematics, UIUC
How to succeed in calculating discriminants without really trying

243 Altgeld Hall, 1:00 p.m.
LOGIC SEMINAR
Professor Yevgeniy Gordon,
Approximation of topological algebraic systems by finite ones, II
Abstract: We consider approximation of topological universal algebras by finite algebras of the same signature and investigate approximate versions of the first order theorems about topological algebras that hold for approximating finite systems. This is a joint work with W.Henson.

243 Altgeld Hall, 2:00 p.m.
NONSTANDARD ANALYSIS
Professor Yevgeniy Gordon, Visitor, Nizhnii Novgorod State University
Kachurivskii's proof of ergodic theorem based on nonstandard analysis
Abstract: We continue to discuss the Thesis of Kachurivskii, where a new proof of ergodic theorem based on Rokhlin-Halmos Lemma and nonstandard analysis was introduced.

345 Altgeld Hall, 2:00 p.m.
SPACES OF NON-POSITIVE CURVATURE RAP
Bogdan Petrenko, Department of Mathematics, UIUC
Alexandrov patchwork

241 Altgeld Hall, 2:00 p.m.
STOCHASTIC AND NONLINEAR ANALYSIS
Jared Bronski, Department of Mathematics, UIUC
Tight Bounds for Eigenvalues with Applications

159 Altgeld Hall, 3:00 p.m.
COMMUTATIVE RING THEORY RAP
Per Jensen, Department of Mathematics, UIUC
Projective Schemes, cont.

241 Altgeld Hall, 3:00 p.m.
GEOMETRIC POTPOURRI SEMINAR
Professor Faruk Abi-Khuzam, American University of Beirut, visiting University of Wisconsin
Sharp inequalities in Brocardian geometry
Abstract: In a triangle ABC, the Brocard angle (w) is related to the vertex angles by
cot(w) = cot(a) + cot(b) + cot(g),
and it is well-known that w cannot exceed p/6. Around 1962, Yff conjectured that
8(w)3 < (a)(b)(g),
the proof of which sparked a lot of activity and led to other conjectures. In this talk, we shall present a (motivated) survey of results and methods that led to sharp inequalities for w.

345 Altgeld Hall, 3:00 p.m.
GRAPH THEORY AND COMBINATORICS
See announcement for Special Combinatorics Seminar at 4:00 p.m.

245 Altgeld Hall, 4:00 p.m.
SPECIAL COMBINATORICS LECTURE
Bjarne Toft, Mathematics and Computer Science, University of Southern Denmark, (Visiting Vanderbilt University, Nashville, TN, Spring 2001)
Julius Petersen: the Man, the Myth, the Legend
Abstract: The emergence of graph theory at the end of the nineteenth century is closely linked to the work of two mathematicians, James Joseph Sylvester in the United States and England and Julius Petersen in Denmark. They met in 1889 in Copenhagen and in 1890 in Oxford and together they created graph factorization theory.

Petersen and his colleague Zeuthen, the two professors at the University of Copenhagen, established a mathematical tradition in Denmark almost out of nothing. Both are still remembered for their geometry, but Zeuthen also as a historian of mathematics and Petersen for the graph theory.

Petersen did pioneering work in several fields, including algebra, combinatorics, cryptography, economics, function theory, geometry, mathematical physics and the teaching of mathematics. But both his graph theory and some of the other brilliant pieces went unnoticed or met with outright rejection in his own time.This is not to imply that his life was one of disappointment - far from it. He was the embodiment of the best sense of humour and the most vigorous joy in life.

A biography of Petersen by Jesper Lutzen, Gert Sabidussi and Bjarne Toft has been published in Discrete Mathematics Volume 100. The talk is based on that paper and original material from the time. Links to present day graph theory will be made.

WEDNESDAY, MAY 2

ESB 6.110, 11:45 a.m.
MATH - PHYSICS (BCDE) LUNCH SEMINAR
Professor Paul S. Aspinwall, CGTP, Department of Mathematics and Physics, Duke University, Durham N.C.
D-Branes and the Derived Category

243 Altgeld Hall, 4:00 p.m.
VERTEX ALGEBRA AND ELLIPTIC GENUS
Professor Matthew Ando, Department of Mathematics, UIUC
Elliptic Genera

114 CSRL, 4:30 p.m.
INFORMATION PROTECTION SEMINAR
TBA

THURSDAY, MAY 3

241 Altgeld Hall, 1:00 p.m.
ANALYTIC NUMBER THEORY
no meeing today

347 Altgeld Hall, 1:00 p.m.
GROUP THEORY SEMINAR
TBA

241 Altgeld Hall, 2:00 p.m.
ALGEBRAIC GROUPS AND THEIR REPRESENTATIONS
Frobenius Splitting of Sehubert Cells

243 Altgeld Hall, 2:00 p.m.
ALGEBRAIC NUMBER THEORY
no meeting today

347 Altgeld Hall, 2:00 p.m.
ANALYSIS SEMINAR
no meeting today

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
no meeting today

347 Altgeld Hall, 3:00 p.m.
GALOIS MODULES
Marcin Mazur, Department of Mathematics, UIUC
The lifted root number conjecture, continued

245 Altgeld Hall, 4:00 p.m.
MATHEMATICS COLLOQUIUM
Professor Erik Talvila, Department of Mathematical Sciences, University of Alberta
Survey of nonabsolute integration
Abstract: In integration we have the following dichotomy. We spend most of our time teaching the Riemann integral but we do most of our research with the Lebesgue integral. Students do not see the Lebesgue integral until their Senior year or their first year of graduate studies. This means that only those who study a considerable amount of mathematics will have the benefits of using the Lebesgue theory. The Henstock integral alleviates this pain. It includes the Riemann, improper Riemann and Lebesgue integrals but is of the same level of difficulty as the Riemann integral. It has the following properties:
  • It has an easy definition in terms of Riemann sums, not requiring any measure theory.
  • Every derivative is Henstock integrable. This is not true of Riemann or Lebesgue integrals! Thus, we have the most complete version of the Fundamental Theorem of Calculus and Stokes's Theorem.
  • The Henstock integral is nonabsolute. For a function to be integrable it is not necessary for its absolute value to be integrable.
Besides being easy to teach, the Henstock integral is a useful research tool. It can be defined in abstract spaces, there are appropriate convergence theorems, integration with respect to Schwartz distributions is natural and we have a normed space structure. This talk will be an elementary introduction to nonabsolute (Henstock) integration. Besides discussing undergraduate teaching we will bring forth examples from harmonic functions, potential theory, Fourier analysis, differential/difference equations and quantum path integrals of phenomena that, by their very nature, are best described using Henstock integration.

Refreshments at 3:15 p.m. in Room 321 Altgeld Hall

FRIDAY, MAY 4

243 Altgeld Hall, 4:00 p.m.
MODEL THEORY SEMINAR
Rahim Moosa, UIUC
A nonstandard Riemann existence theorem and "counter-examples, cont.