© | << < ? > >> | Dror Bar-Natan: Talks:

**Our Main Theorem** (loosely
stated). Everything that matters in the quantum $sl_2$ portfolio can
be continuously expressed in terms of docile perturbaed Gaussians using
solvable approximations.

**Our Main Points.**

- What's the "quantum $sl_2$ portfolio"?
- What in it "matters" and why? (the most important question)
- What's "solvable approximation"? What's "continuously"?
- What are "docile perturbed Gaussians"?
- Why do they matter? (2
^{nd}most important) - How proven? (docile)
- How implemented? (sacred; the work of unsung heros)
- Some context and background.
- What's next?

Joint work with Roland van der Veen.

**Handout:**
Matemale-1804-1.html,
Matemale-1804-2.html,
Matemale-1804.pdf,
Matemale-1804.png.

**Links:**
AlexDemo
FullImp
Iowa
K17
KBH
NCSU
Ov
SL2Portfolio
SS
Za
ZipBindDemo

**Sources:** pensieve.

**Monday April 23.**

- Dror Bar-Natan on Solvable Approximations of the Quantum $sl_2$ Portfolio (1).
- Virginie Bonnier on Definitions of the Alexander Polynomial.
- Jean-Marc Hok on Definitions of the Alexander Polynomial.
- Konstantinis Karvounis on Definition of the Alexander Polynomial Using Burau.
- Fathi Ben Aribi on Defining the Alexander, Episodes VIII and IX.

**Tuesday April 24.**

- Roland van der Veen on Hopf Algebras and Snarls.
- Sonny Willetts on Yang Baxter Equations and Monoidal Categories.
- Sjabbo Schaveling on Quantum Enveloping Algebras and Lie Bi-Algebras.
- Martin Palmer-Anghel on Vassiliev Invariants the Coloured Jones Function and the Melvin-Morton-Rozansky Conjecture.

**Wednesday April 25.**

- Dror Bar-Natan on Solvable Approximations of the Quantum $sl_2$ Portfolio (2).
- Roland van der Veen on The Multiplication Formula in the Drinfel'd Double.

**Thursday April 26.**

- Jules Martel on Braid Representations and Kohno's Theorem (1).
- Jules Martel on Braid Representations and Kohno's Theorem (2).
- Dror Bar-Natan on Solvable Approximations of the Quantum $sl_2$ Portfolio (3).
- Roland van der Veen on Explicit Isomorphisms and Solvability.
- Ajinkya Kulkarni on Representation Theory of $U_q sl(2)$, Quantization of an Infinitesimal Symmetric Category and Drinfel'd Associators.

**Friday April 27.**

- Cristina Palmer-Anghel on Topological Formula for the Loop Expansion of the Coloured Jones Polynomial.
- Roland van der Veen on Zip, Bind, and Double.
- Dror Bar-Natan - Discussion.