SMS scnews item created by Zhou Zhang at Thu 22 Mar 2012 1100
Type: Seminar
Distribution: World
Expiry: 12 Apr 2012
Calendar1: 27 Mar 2012 1200-1300
CalLoc1: Carslaw 352
Auth: zhangou@bari.maths.usyd.edu.au

# Geometry Seminar: Dimca -- Chebyshev Curves and Hodge Theory

Speaker: Prof. Alexandru Dimca (Nice)

http://math.unice.fr/~dimca/

Time: Tuesday, March 27, 12(NOON)--1PM

Room: Carslaw 352

Lunch: after the talk

---------------------------------------------------

Title: Chebyshev Curves and Hodge Theory

Abstract: let $T_d(x)=\cos(d\arccos(x))$ be the
classical Chebyshev polynomial of degree $d$.
We consider the projective complex plane curve
$C_d$ with affine equation $T_d(x)+T_d(y)=0$. We
discuss the irreducible components of $C_d$ and
the Hilbert-Poincare polynomial of the associated
Jacobian ideal. Using Hodge theory in the form
of Hodge-Deligne polynomials, we show that our
results on the Chebyshev curves $C_d$ turn out
to be quite general.

---------------------------------------------------

Web site for Geometry Seminar is at:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html


If you are registered you may mark the scnews item as read.
School members may try to .