## Seminars and Colloquia by Series

### TBA by Morgan Weiler

Series
Geometry Topology Seminar
Time
Monday, September 21, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
Skile 006
Speaker
Morgan WeilerRice

### TBA by Michelle Chu

Series
Geometry Topology Seminar
Time
Monday, April 20, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Michelle ChuUniversity of Illinois at Chicago

### Geometry Topology Seminar : TBA by Mark Powell

Series
Geometry Topology Seminar
Time
Friday, April 17, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
TBD
Speaker
Mark PowellDurham University

### Geometry Topology Seminar : TBA by Maggie Miller

Series
Geometry Topology Seminar
Time
Monday, April 13, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Maggie MillerPrinceton University

### CANCELLED: Joint UGA-GT Topology Seminar at GT: TBA by Allison Moore

Series
Geometry Topology Seminar
Time
Monday, April 6, 2020 - 15:30 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Allison MooreVirginia Commonwealth University

### Joint UGA-GT Topology Seminar at GT: TBA by Shelly Harvey

Series
Geometry Topology Seminar
Time
Monday, April 6, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Shelly HarveyRice University

### TBA by Anthony Conway

Series
Geometry Topology Seminar
Time
Monday, March 30, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
Skile 006
Speaker
Anthony ConwayMax Planck Institut für Mathematik

### Satellite operations and knot genera

Series
Geometry Topology Seminar
Time
Monday, March 9, 2020 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Allison MillerRice University

The satellite construction, which associates to a pattern knot P in a solid torus and a companion knot K in the 3-sphere the so-called satellite knot P(K), features prominently in knot theory and low-dimensional topology.  Besides the intuition that P(K) is “more complicated” than either P or K, one can attempt to quantify how the complexity of a knot changes under the satellite operation. In this talk, I’ll discuss how several notions of complexity based on the minimal genus of an embedded surface change under satelliting. In the case of the classical Seifert genus of a knot, Schubert gives an exact formula. In the 4-dimensional context the situation is more complicated, and depends on whether we work in the smooth or topological category: the smooth category is sometimes asymptotically similar to the classical setting, but our main results show that the topological category is much weirder.  This talk is based on joint work with Peter Feller and Juanita Pinzón-Caicedo.

### Joint UGA-GT Topology Seminar at UGA: The dihedral genus of a knot

Series
Geometry Topology Seminar
Time
Monday, March 2, 2020 - 16:00 for 1 hour (actually 50 minutes)
Location
Boyd
Speaker
Patricia CahnSmith College

We consider dihedral branched covers of $S^4$, branched along an embedded surface with one non-locally flat point, modelled on the cone on a knot $K\subset S^3$. Kjuchukova proved that the signature of this cover is an invariant $\Xi_p(K)$ of the $p$-colorable knot $K$. We prove that the values of $\Xi_p(K)$ fall in a bounded range for homotopy-ribbon knots. We also construct a family of (non-slice) knots for which the values of $\Xi_p$ are unbounded. More generally, we introduce the notion of the dihedral 4-genus of a knot, and derive a lower bound on the dihedral 4-genus of $K$ in terms of $\Xi_p(K)$. This work is joint with A. Kjuchukova.