Juvitop Seminar Fall 2014
Juvitop Seminar on the Kervaire Invariant One Problem
Fall 2014, Wednesdays 4:30-5:30 pm, E17-128, MIT
Juvitop is the MIT graduate student topology seminar. In the fall of 2014, we will focus on the solution of the Kervaire
Invariant One Problem by Hill-Hopkins-Ravenel and its relation to Equivariant Stable Homotopy Theory.
Schedule of Talks
24/09/2014:
Prof. Michael Hopkins :
The Kervaire Invariant One Problem
Notes (by Denis Nardin)
01/10/2014:
Kevin Sackel :
Framed Cobordism and Homotopy Spheres
Notes (by Denis Nardin)
08/10/2014:
Jun-Hou Fung :
The Adams Spectral Sequence
Notes (by Jun-Hou Fung)
Notes (by Denis Nardin)
15/10/2014:
Denis Nardin :
Crossing Browder's Bridge
22/10/2014:
Michael Andrews :
Ravenel's Work at Odd Primes
Notes (by Denis Nardin)
29/10/2014:
Saul Glasman :
Basics of Equivariant Stable Homotopy Theory
Notes (by Denis Nardin)
05/11/2014:
Eva Belmont :
The Strategy of the Hill-Hopkins-Ravanel's Proof
Notes (by Denis Nardin)
12/11/2014:
Jay Shah :
Fixed Points
Notes (by Denis Nardin)
19/11/2014:
Lukas Brantner :
The Slice Spectral Sequence
Notes (by Denis Nardin)
26/11/2014:
No meeting (Thanksgiving)
03/12/2014:
Jeremy Hahn :
Reduction to the Reduction Theorem
Notes (by Denis Nardin)
10/12/2014:
Charmaine Sia :
Finale -The Reduction Theorem and the Gap Theorem
Notes (by Denis Nardin)
References
Talk 2: "Groups of Homotopy Spheres I", M. Kervaire, J. Milnor
"Lectures on Groups of Homotopy Spheres", J.P. Levine
Talk 4: "The Kervaire Invariant of Framed Manifolds and its Generalization"
W. Browder
Talk 5: "The Non-Existence of Odd Primary Arf Invariant Elements in Stable Homotopy", D. Ravenel
Later Talks: "On the Non-Existence of Elements of Kervaire Invariant One", M. Hill, M. Hopkins, D. Ravenel
"Kervaire Invariant One", H. Miller, Séminaire Bourbaki
This seminar is organised by Lukas Brantner.
If you have any questions, suggestions, criticism or corrections, please send an email to brantner@math.harvard.edu.