Math 533b

Several Complex Variables

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::: homework

Homework:

  1. Set 1 (Due Feb. 5) The deadline is extended to Feb 9.
  2. Set 2 (Due Feb. 19) The deadline is extended to Feb 23.
  3. Set 3 (Due March 12) The deadline is extended to March 16.
  4. Set 4 (Due March 26) The deadline is extended to April 4.

Presentation:

Schedule of presentations:

Topics:

  1. Plurisubharmonic functions: definition, properties, connection with domains of holomorphy (Kanchan Singh).
  2. Kobayashi metric (Nadya Askaripour).
  3. Edge-of-the-wedge theorem (Igor Khavkine).
  4. Wong-Rosay theorem for convex domains (Priyavrat Deshpande).
  5. Weierstrass preparation lemma and complex analytic sets (Richard Gonzales).
  6. Automorphism group of the unit ball (Eugeniu Spinu).
  7. Cartan's theorem on the Lie group structure of Aut(D) (Abdulilah Kadri).
In-class presentations will take place on April 4, 9, and 11. Attendance is required for these days.
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