UIUC Dept. of Mathematics Seminar Calendar

    September 2009          October 2009          November 2009    
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
        1  2  3  4  5                1  2  3    1  2  3  4  5  6  7
  6  7  8  9 10 11 12    4  5  6  7  8  9 10    8  9 10 11 12 13 14
 13 14 15 16 17 18 19   11 12 13 14 15 16 17   15 16 17 18 19 20 21
 20 21 22 23 24 25 26   18 19 20 21 22 23 24   22 23 24 25 26 27 28
 27 28 29 30            25 26 27 28 29 30 31   29 30

Monday, October 19, 2009

CR Geometry Seminar
3:00 pm in 345 Altgeld Hall, Monday, October 19, 2009

Del

Edit

Copy

Submitted by jlebl.

Cancelled

Math 499: Introduction to Graduate Mathematics
4:00 pm in 245 Altgeld Hall, Monday, October 19, 2009

Del

Edit

Copy

Submitted by seminar.

Kenneth Stolarsky (Department of Mathematics, University of Illinois)
Polynomials in Number Theory and Analysis
Abstract: In algebra and analysis one needs eigenvalues of matrices, and in number theory one needs the set of all algebraic numbers, so roots of polynomials, with or without integer coefficients, are of central importance. There is much more to the study of polynomials than the fundamental theorem of algebra. Various easily stated problems (even for polynomials with coefficients not constrained to be integers) remain open. In particular, there are many ways to measure the size of a polynomial, and these lead to interesting results and open problems about the largest or smallest polynomial satisfying a given condition. Polynomials can enter into problems whose formulation does not mention polynomials. One example is finding universally optimal distributions of points on spheres. Another is the open problem of determining the mod 1 distribution of x^n for a given x > 1 (e.g. x = 3/2). This has led to the concept of a PV number.