AMR Colloquia

July 1, 2022: A talk by Henri Poincare Jr. THE SMOOTH 4D POINCARE CONJECTURE

The Problem and its History
The first formulation of the Poincare conjecture was stated in 1905. You can read here about the various flavors of the conjecture that emerged, and how and when they were solved.
History
Approaches
What are possible approaches and what techniques have succeeded in related problems? What is known about possible counterexamples.
Approaches
Consequences and Implications
What would be implied by a solution or a counterexample?
Implications
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History

Background Reading

Videos

Resources

Colloquia Series Working Group

Craig EVANS, UC Berkeley 
Henri DARMON, McGill University
Susan FRIEDLANDER, University of Southern California (Chair)
Mark GORESKY, Institute for Advanced Study
Eva MIRANDA, Universitat Politècnica de Catalunya and Centre de Recerca Matemática in Barcelona

(Affiliations for identification purposes only)