Marinko Timotijević: Self-dual trinagulations of manifolds

Abstract:
Simplicial complexes which are equal to their combinatorial
Alexander dual are known as self-dual simplicial complexes. We prove
that topological and combinatorial properties of any self-dual
simplicial complex are fully determined by topological and
combinatorial properties of the link of any of it's vertices. Using
this observation we describe a general method for constructing
self-dual triangulations of a given topological space and focus on
self-dual triangulations of compact manifolds. We show that there exist
only $4$ types of self-dual combinatorial manifolds and provide a
general method for their construction.

The lecture can be followed by zoom if necessary:

• Zoom link: https://us06web.zoom.us/j/89547528463?pwd=Z0ZiU1NXZkpyY2NNUy9PYXptY0JuZz09
• Meeting ID: 895 4752 8463
• Passcode: 890941