## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Wednesday, May 14, 2014 — 1:00 PM EDT

Pure Mathematics Department, University of Waterloo

I will start by going over some basic results from complex analysis in one variable. Using these results I will deduce some important theorems in multi-variable complex analysis such as the Weierstrass preparation theorem and give some applications. I will also introduce the notion of an analytic variety and describe some of their interesting properties.

Pure Mathematics Department, University of Waterloo

We will introduce the notion topological/smooth/holomorphic vector bundle, and present some basic examples and constructions. Vector bundles are related to sheaves via their sections, and also have counterparts in commutative algebra. Time permitting, we will explain how vector bundles correspond to locally free sheaves of modules.

Location

MC - Mathematics & Computer Building

4062

200 University Avenue West

Waterloo, ON N2L 3G1

Canada

200 University Avenue West

Waterloo, ON N2L 3G1

Canada

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1