Videos and more from the GRT,
MZVs and associators workshop, Les Diablerets, Switzerland, August 20-29,
2015, in chronological order: (see also Les
Diablerets 2016)
- August 21, morning: Nariya Kawazumi on Algebraic Aspects of the Goldman-Turaev Lie Bialgebra:
Slides.
- August 21, afternoon: Yusuke Kuno on Symplectic Expansions and Mapping Class Groups:
Video I,
Video II.
- August 22, morning: Gwenael Massuyeau on The LMO Functor: From Associators to Cobordisms and Tangles:
Video I,
Video II,
Slides.
- August 22, afternoon: Pierre Lochak on Topological Grothendieck-Teichmüller Theory:
Video I,
Video II.
- August 23, morning: Benoit Fresse on Rational Homotopy and Intrinsic Formality of $E_n$-Operads:
Video I,
Video II,
Slides I,
Slides II.
- August 23, afternoon: Benjamin Enriquez on Elliptic Associators:
Video I,
Video II.
- August 24, morning: Leila Schneps on Elliptic Double Shuffle and Ecalle's Moulds:
Video I,
Video II.
- August 24, afternoon: Pavol Severa on Quantization of Lie Bialgebras and Moduli of Flat Connections:
Video I,
Video II.
- August 25, morning: Hiroaki Nakamura on Eisenstein Invariant for Once Punctured Elliptic Curves:
Video I,
Video II.
- August 25, afternoon: Dror Bar-Natan on Polynomial Time Knot Polynomials:
See below.
- August 26, morning: Zsuzsanna Dancso on a Topological Proof of the Kashiwara-Vergne Conjecture:
Video I,
Video II,
Notes.
- August 26, afternoon, Glacier des Diablerets:
,
,
,
,
,
.
- August 27, morning: Sergei Merkulov on An Explicit Formula for Deformation Quantization of Lie BiAlgebras:
Video I,
Video II,
Notes.
- August 27, afternoon: Johan Alm on The KZ Associator and a Universal A-Infinity Structure on Batalin-Vilkovisky Algebras:
Video I,
Video II.
- August 28, morning: Thomas Willwacher on Graph Cohomology:
Video I,
Video II.
- August 28, afternoon: Anton Khoroshkin on Group Actions, Framed Little Balls Operads and Graph Complexes.
- August 29, morning: Hidekazu Furusho on Desingularization of Multiple $\zeta$ Functions.
Video I,
Video II.
Polynomial Time Knot Polynomials
Abstrant. The value of things is inversely correlated
with their computational complexity. "Real time" machines, such as
our brains, only run linear time algorithms, and there's still a lot
we don't know. Anything we learn about things doable in linear time
is truly valuable. Polynomial time we can in-practice run, even if we
have to wait; these things are still valuable. Exponential time we can
play with, but just a little, and exponential things must be beautiful
or philosophically compelling to deserve attention. Values further
diminish and the aesthetic-or-philosophical bar further rises as we go
further slower, or un-computable, or ZFC-style intrinsically infinite,
or large-cardinalish, or beyond.
I will explain some things I know about polynomial time knot polynomials
and explain where there's more, within reach.
Handout:
PP.html,
PP.pdf,
PP.png.
Also, LesDiableretsBooklet.pdf.
Talk videos:
Part I,
Part II
(a one-hour version is at Aarhus-1507).
Sources: pensieve.