Venue
Seminar Room, School of Mathematical Sciences
Speaker
Dr. Samik Basu
Affiliation
Ramakrishna Mission Vivekananda University
Title
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.