Peter Hilton Memorial Lecture

Day Thursday, April 04
Time 3:00 PM to 4:00 PM
Where LH 9

Peter Hilton Memorial Lecture

Speaker: Shmuel Weinberger (University of Chicago)

Title: How hard is algebraic topology? Between the constructive and the non.

Abstract: In algebraic topology one studies geometric problems and problems of constructing and deforming highly nonlinear functions by means of algebra. If one knows that two maps are homotopic (i.e. can be deformed to one another) because a certain calculation says they both lie in the trivial group, then what has one learned? (A striking example of this is Smale's turning the sphere inside out, which now can be seen after much highly nontrivial effort, on youtube.) The question I shall discuss is how hard is it to understand what the algebraic topologists tell us.


Add to Calendar 04/04/19 3:00 PM 04/04/19 4:00 PM 15 Peter Hilton Memorial Lecture Peter Hilton Memorial LectureSpeaker: Shmuel Weinberger (University of Chicago) Title: How hard is algebraic topology? Between the constructive and the non.Abstract: In algebraic topology one studies geometric problems and problems of constructing and deforming highly nonlinear functions by means of algebra. If one knows that two maps are homotopic (i.e. can be deformed to one another) because a certain calculation says they both lie in the trivial group, then what has one learned? (A striking example of this is Smale's turning the sphere inside out, which now can be seen after much highly nontrivial effort, on youtube.) The question I shall discuss is how hard is it to understand what the algebraic topologists tell us. LH 9 DD/MM/YY