**Geometry
Seminar**

**November
20, 2007 (Tuesday)**

**517 Meng Wah
Complex, HKU**

**Dr. Kiyonori Gomi**

University of Texas,
Austin, USA & IMR Junior Fellow, HKU* *

*Twisted K-theory and finite-dimensional
approximation*

**2:00 – 3:00pm**

**Abstract**

I
will talk about an answer to a problem in twisted K-theory, that is, to realize
twisted K-groups generally by means of finite-dimensional geometric objects,
like vector bundles. One key to my answer is a twisted version of Furuta's
generalized vector bundle, and the other is a notion of a finite-dimensional
approximation of Fredholm operators.

*3:00
– 3:10 Tea
Break*

**Professor Nessim Sibony**

Université de Paris-Sud,

*Equidistribution** properties for endomorphisms
of
***P**^{k}

**3:10 – 4:10pm**

**Abstract**

We will discuss the following
conjecture. Let *f* be a holomorphic endomorphism of **P*** ^{k}*
of algebraic degree

*All are
welcome*