A seminar on classical results in Algebraic Topology

This is a seminar on classical results in Algebraic Topology.
The seminar is modeled on the seminar organized by Dan Kan in MIT.

Each week, one of the participants will give a talk about a classical paper in Algebraic Topology (most of the papers are from the 50's-70's).

We will try to reinterpret and simplify (some of) the papers using the modern language of ∞-categories and higher algebra.

The meetings take place on Sundays at *10:00-12:00* (note the time change!), in Sprinzak 27.

If you are going to participate, *please let me know by email* at shay.benmoshe@mail.huji.ac.il.

Also, look at the papers suggestion, and try to pick one.

Feel free to talk to me, e.g. by email.

The first two talks will be introductory, and serve as a background for many of the other talks.

Everyone is encouraged to give a talk some time at the semester.

- 27/10/2019 - Shay Ben Moshe -
*∞-Categories and Spectra*(intro) - 03/11/2019 - Shachar Carmeli -
*Steenrod Algebra*(intro) - 10/11/2019 - Shauly Ragimov -
*Milnor, On Manifolds Homeomorphic to the 7-Sphere* - 17/11/2019 - Danil Akhtiamov -
*Strom, A simple homotopy-theoretical proof of the Sullivan conjecture* - 24/11/2019 - Ariel Davis -
*Adams, On the groups J(X)—IV* - 01/12/2019 - Daniel Kaner -
*Harris, Bott Periodicity via Simplicial Spaces* - 08/12/2019 - Segev Cohen -
*Kan, A Combinatorial Definition of Homotopy Groups* - 15/12/2019 - Shaul Barkan -
*Nishida, The Nilpotency of Elements of the Stable Homotopy Groups of Spheres* - 22/12/2019 - ?
- 29/12/2019 - no meeting (Hanukkah)
- 05/01/2020 - ?
- 12/01/2020 - ?
- 19/01/2020 - ?
- 26/01/2020 - ?

We haven't scheduled the following talks (but the papers are taken):

- Kesha -
*Wall, Finiteness Conditions for CW-Complexes* - Magnus Carlson - ?
- Elhanan Nafha - ?
- Shachar Carmeli -
*Witten, The Index of the Dirac Operator in Loop Space* - Shay Ben Moshe -
*Quillen, On the Cohomology and K-theory of the General Linear Groups Over a Finite Field*

There are many great classical papers in Algebraic Topology.

A handful of papers are listed below, just give you some ideas.
There are a lot more wonderful papers, many of them listed in the lists linked below.

- Quillen, Rational Homotopy Theory
- Brown, Cohomology Theories
- (taken) Miller, The Sullivan Conjecture on Maps from Classifying Spaces (or other proofs)
- (taken) Milnor, On Manifolds Homeomorphic to the 7-Sphere
- (taken) Wall, Finiteness Conditions for CW-Complexes
- (taken) Adams, On the groups J(X)—IV
- (taken) Harris, Bott Periodicity via Simplicial Spaces