Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor

Abstract:
In his address at the 1958 International Congress of Mathematicians Milnor described his joint work with Kervaire, relating Bernoulli numbers, homotopy groups, and the theory of manifolds. These ideas soon led them to one of the most remarkable formulas in mathematics, relating fundamental quantities from three different fields. This talk will describe this formula, and the many remarkable developments associated to each of its terms.

This lecture was held at The University of Oslo, May 25, 2011 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.

Program for the Abel Lectures 2011
1. "Spheres" by Abel Laureate John Milnor, Institute for Mathematical Sciences, Stony Brook University, New York
2. "Manifolds, topology and dynamic" by Professor Curtis McMullen
3. "Bernoulli numbers, homotopy groups, and Milnor" by professor Michael Hopkins
4. "A guided tour of the seventh dimension", a science lecture by professor Etienne Ghys

Видео Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor канала The Abel Prize