### Course announcement: Function Theory in Several Complex Variables

#### by Orr Shalit

Here is an interesting quote that comes to my mind again and again:

You teach best what you most need to learn. (

Richard Bach)

This coming winter I will be giving a course in function theory in several complex variables. As last year, I may use the blog to post some lecture notes for lectures that I will present in a somewhat different way than how it is done in the books I have. I don’t know yet the course number. The course will be between two to four hours a week. Probably it will be four.

Here is a very interesting introduction to the subject, by R. Michael Range, that gives a flavor of in what ways this subject is much more than a straightforward marriage of function theory in one complex variables and multi-variable calculus.

My incentives for offering this course are

- First of all, my need to use complex analysis in several variables has been steadily growing since the last year of my PhD studies, and I want to fasten all the knowledge I accumulated, get it organize in my head, and dive deeper.
- I am thinking of this course as part of the training that I owe my students and postdocs. These days working with me means, with high probability, doing something related to function theory in several complex variables.
- This is a beautiful, beautiful subject, which is very important to other fields such as algebraic geometry and some fancy physics (but now that we marked off “importance” we can safely forget about it — at least for now — and concentrate on “beautiful”), and should be given in our department from time to time,
*ve im lo achshav, eimatai?*

This course will *not *be designed to ultimately reach my current research interests, because there are so many basic and classical material that I want to cover which come before my current interests, and are by far more important (and probably more interesting, to most students) than what I happen to be doing right now.