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Dror Bar-Natan:
Talks:
# Two Talks at the Renyi Institute, Budapest

## Talk 1. Shifted Partial Quadratics, their Pushforwards, and Signature Invariants for Tangles

#### 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/bu23.

**Handout:**
PQ.html,
PQ.pdf.

**Talk video** (slides and sounds only) mp4, @Renyi.

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

**Sources:** pensieve.

## Talk 2. Cars, Interchanges, Traffic Counters, and some Pretty Darned Good Knot Invariants

#### Following a talk given in Nara in August 2023

**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.

**URL:** http://drorbn.net/bu23.

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

**Handout:**
Cars.html,
Cars.pdf.

**Talk Video**
(for the version given in Oaxaca;
also at YouTube
and at @BIRS).

**After-talk writeup** (for the version given in Nara):
NaraTalkSummary.pdf.

**Sources:** pensieve.