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Seminar by Samik Basu

Tuesday, February 21, 2017 - 15:00 to 16:00
Seminar Room, School of Mathematical Sciences
Dr. Samik Basu
Ramakrishna Mission Vivekananda University
Homotopy groups of highly connected manifolds

We shall discuss a new method of computing (integral) homotopy groups of certain manifolds in terms of the homotopy groups of spheres. The techniques used in this computation also yield formulae for homotopy groups of connected sums of sphere products and CW complexes of a similar type. In all the families of spaces considered here, we verify a conjecture of J. C. Moore. This is joint work with Somnath Basu.

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