### 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 Weiler – Rice

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

- Series
- Geometry Topology Seminar
- Time
- Monday, April 27, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Yan Mary He – University of Toronto – yanmary.he@mail.utoronto.ca

- Series
- Geometry Topology Seminar
- Time
- Monday, April 20, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Michelle Chu – University of Illinois at Chicago – michu@uic.edu

- Series
- Geometry Topology Seminar
- Time
- Friday, April 17, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- TBD
- Speaker
- Mark Powell – Durham University – mark.a.powell@durham.ac.uk

- Series
- Geometry Topology Seminar
- Time
- Monday, April 13, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Maggie Miller – Princeton University – maggiem@math.princeton.edu

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

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

- Series
- Geometry Topology Seminar
- Time
- Monday, March 30, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- Anthony Conway – Max Planck Institut für Mathematik – anthonyyconway@gmail.com

- Series
- Geometry Topology Seminar
- Time
- Monday, March 9, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Allison Miller – Rice University – allison.miller@rice.edu

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.

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

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