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4-manifolds

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2022-2023
Duration: 
20 h
Description: 

The main goal of the course is to provide a concise introduction to 4-manifold topology. A list of topics to be covered is as follows.

  • Intersection forms of closed oriented 4-manifolds. 
  • Freedman’s topological classification of closed simply connected 4-manifolds.
  • Donaldson’s and Furuta's results on definite forms that can be realized as the intersection form of a closed smooth 4-manifold.
  • Geography of symplectic 4-manifolds. 
  • Homology classes represented by smoothly embedded surfaces and the genus function.
Location: 
A-136
Location: 
on October 6, October 13, October 20, October 17 the lecture will be in A-134
Next Lectures: 
Thursday, December 8, 2022 - 11:00 to 13:00
Tuesday, December 13, 2022 - 11:00 to 13:00
Thursday, December 15, 2022 - 11:00 to 13:00

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