Speaker

:

Prof. S. S. Kannan, CMI

Affiliation

:

Chennai Mathematical Institute

Subject Area

:

Mathematics

Venue

:

Lecture Hall - I, Dept of Mathematics

Time

:

4 pm

Date  

:

July 1,2009 (Wednesday)

Title

:

Quotient Varieties modulo Finite Groups

Let $V$ be finite dimensional vector space over the field of complex numbers. Let $G$ be a finite subgroup of $GL(V)$, group of all $\bc$- linear automorphisms of $V$. Then, the apmple generator of the Picard group of the projective space $\bP(V)$ descends to the quotient variety $\bP(V)/G$. Let $L$ denote the descent.

We prove that the polarised variety $\bP(V)/G, L$ is projectively normal when $G$ is solvable or $G$ is generated by pseudo reflections. We also prove that an arithmetic result of Erd\{o}s-Ginzburg-Ziv is equivalent to our result when $G$ is cyclic.