Friday March 3, 2011

Abstract.In the first half of my talk I will tell a cute and simple story - how given a knot inone may count all possible "cosmic coincidences" associated with that knot, and how this count, appropriately packaged, becomes an invariantR^{3}Zwith values in some spaceAof linear combinations of certain trivalent graphs.In the second half of my talk I will describe (rather sketchily, I'm afraid) a part of the story surrounding

ZandA: How the sameZalso comes from quantum field theory, Feynman diagrams, and configuration space integrals. HowAis a space of universal formulas which make sense in every metrized Lie algebra and how specific choices for that Lie algebra correspond to various famed knot invariants. HowZsolves a universal topological problem, and how solving forZis solving some universal Lie-algebraic problem. All together, this is theu-story.In the remaining time I will mention several other

Z's andA's and the parallel (yet sometimes interwoven) stories surrounding them - thev-story, andw-story, and perhaps also thep-story. Each of these stories is clearly still missing some chapters.

**Talk video.**
**Handout.** CC.html,
CC.pdf, CC.png.
**Source files.** CC.zip.
**Pensieve.** 2011-03.