Talk 1. Cars, Interchanges, Traffic Counters, and some Pretty Darned Good Knot Invariants

At 2PM, preparing for a talk in Nara on August 13, and following a talk given in Oaxaca in October 2022

Abstract. Reporting on joint work with Roland van der Veen, I'll tell you some stories about $\rho_1$, an easy to define, strong, fast to compute, homomorphic, and well-connected knot invariant. $\rho_1$ was first studied by Rozansky and Overbay, it is dominated by the coloured Jones polynomial (but it isn't lesser!), it has far-reaching generalizations, and I wish I understood it.

URLs: http://drorbn.net/na23 and http://drorbn.net/oa22.

Links: AKT ap APAI AQDW DoPeGDO Dogma FDA J Ov Scha SolvApp

Handout: Cars.html, Cars.pdf.

Talk Video (also at YouTube, also @BIRS).

Sources: pensieve.

CMS-2212 version.

Talk 2. Shifted Partial Quadratics, their Pushforwards, and Signature Invariants for Tangles

At 3:30PM, following a talk given at ICERM in May 2023

Abstract. Following a general discussion of the computation of zombians of unfinished columbaria (with examples), I will tell you about my recent joint work with Jessica Liu on what we feel is the "textbook" extension of knot signatures to tangles, which for unknown reasons, is not in any of the textbooks that we know.

URL: http://drorbn.net/icerm23.

Handout: PQ.html, PQ.pdf.

Talk Video (also on YouTube, and perhaps a better version at ICERM).

Sources: pensieve.