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The following four lectures from Mike Hopkins' birthday conference describe the recent disproof of the telescope conjecture:

1. Ishan Levy "Applications of algebraic K-theory to a problem in topology"https://ox.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=134f4ccb-f1e0-4cb3-a7bc-b00300b83d3e 
2. Tomer Schlank "Cyclotomic Redshift" https://ox.cloud.panopto.eu/Panopto/Pages/Viewer...

Exam date, time and location:

Friday June 9th, between 12.15 and 15.05, in room B819 (N. H. Abel's building, 8th floor).  Information about the individual times has been sent by e-mail.

Syllabus:

A. Hatcher, "Vector Bundles and K-Theory":

• Clutching functions, pages 22-26.

J. Rognes, "Algebraic Topology III Spring 2023 / Chromatic Homotopy Theory":

• Chapter 1: Introduction
• Chapter 2: The Steenrod algebra and its dual
• ...

Here are my

• lecture notes in book format with hyperref links and
• the same in 12pt font and fullpage format.

The older versions of the individual chapters are listed below.

• Chapter 1: Introduction
• Chapter 2: The Steenrod algebra and its dual
• Chapter 3: Classifying spaces
• Chapter 4: Characteristic classes
...

Nikolai Opdan <ntmarti@math.uio.no> is the contact student this semester.

J. F. Adams: On the non-existence of elements of Hopf invariant one (1960).

J. F. Adams: Vector fields on spheres (1962).

J. F. Adams: Stable Homotopy and Generalised Homology (1974), LaTeX version (2022, beware of typos).

J. F. Adams and M. F. Atiyah: K-theory and the Hopf invariant (1966).

M. F. Atiyah: K-Theory (1967).

David Barnes and...