The 12 lectures were recorded on video by Carmen Rovi, with the links posted below.

References

Monday, November 5, 5PM, Room 5325, JCMB

Lecture #1 of Rob Kirby.

Video

An extended introduction to Lectures #3-#12 on the triangulations of topological manifolds, their existence and uniqueness,

and applications to topological transversality, handlebodies, and the topological invariance of Whitehead torsion.

Wednesday, November 7, 3.30PM, Lecture Room C, JCMB

Lecture #2 of Rob Kirby

Video

Abstract: I will discuss how the Arf invariant of a Z/2 enhancement of

a Z/2 intersection form is important in dimensions one (knot theory) through infinity.

Slides. A historical talk at a colloquium-level.

Wednesday, November 7, 5.00PM, Lecture Room C, JCMB

Sir Michael Atiyah (Edinburgh)

Video

Abstract: Mod 2 invariants, such as the Rochlin invariant, have links to analysis.

In my lecture I investigate a new version of Chern classes that may shed light on these matters.

Lectures #3-12 of Rob Kirby follow on November 9,12,14,16,19,21,23,26,28,30,

at 5.00PM in Lecture Room A, JCMB.

Rob Kirby also gave a seminar on Tuesday, November 27, 5.30PM, Lecture Room A, JCMB

Video

Abstract: In joint work with David Gay, we show existence and uniqueness

of Morse 2-functions (also known as broken Lefschetz fibrations), and then existence and uniqueness

(up to stabilization) of trisections of 4-manifolds (analogous to Heegaard splittings of 3-manifolds).

- Lecture 1. Introduction. Monday, November 5 Video
- Lecture 2. The Arf and Rochlin invariants. Wednesday, November 7 Video
- Lecture 3. Collars, the tangent bundle. Friday, November 9 Video
- Lecture 4. The torus trick and some of its applications. Monday, November 12 Video
- Lecture 5. The Schoenflies theorem. Wednesday, November 14 Video
- Lecture 6. More torus trick. Friday, November 16 Video
- Lecture 7. Concordance implies isotopy. Monday, November 19 Video
- Lecture 8. The product structure theorem. Wednesday, November 21 Video
- Lecture 9. Immersion theory and \pi_k(TOP/PL). Friday, November 23 Video
- Lecture 10. Surgery and homotopy tori. Friday, November 26 Video
- Lecture 11. Friday, November 28 Video
- Lecture 12. The finale. Friday, November 30 Video