Event Type:

Topology Seminar

Date/Time:

Tuesday, April 26, 2011 - 05:00

Location:

Kidder 358

Guest Speaker:

Paul Synhavsky

Institution:

University of Rochester

Abstract:

A fundamental problem in algebraic topology is to compute and

understand the (stable) homotopy groups of a spheres. This remains

mysterious and largely unsolved, despite major advances in the field.

We will give an exposition of some classical theorems, computational

methods and an illuminating example relating to the stable homotopy

groups of spheres. We will also discuss some directions the field is

taking, including how surprising and invaluable applications of other

areas of mathematics such as number theory and algebraic geometry have

aided in its progress. This talk will be accessible to first year

graduate students with a course in topology; basic exposure to

(co)homology would be advantageous, but is not necessary.