### TBA by Morgan Weiler

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 23, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- Morgan Weiler – Rice University

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- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 23, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- Morgan Weiler – Rice University

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, December 2, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Jonathan Johnson – The University of Texas at Austin – jjohnson@math.utexas.edu

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, September 30, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Corey Bregman – Brandeis University – cbregman@brandeis.edu

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, September 23, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Michael Dougherty – Colby College – michael.dougherty@colby.edu

In this informal chat, I will introduce the braid group and several equivalent topological perspectives from which to view it. In particular, we will discuss the role that complex polynomials play in this setting, along with a few classical results.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, August 26, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Jasmine Powell – University of Michigan – jtpowell@umich.edu

The field of complex dynamics melds a number of disciplines, including complex analysis, geometry and topology. I will focus on the influences from the latter, introducing some important concepts and questions in complex dynamics, with an emphasis on how the concepts tie into and can be enhanced by a topological viewpoint.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, April 15, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Patrick Orson – Boston College – patrick.orson@bc.edu

I will give a brief survey of concordance in high-dimensional knot theory and how slice results have classically been obtained in this setting with the aid of surgery theory. Time permitting, I will then discuss an example of how some non-abelian slice obstructions come into the picture for 1-knots, as intuition for the seminar talk about L^2 invariants.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, April 8, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Tye Lidman – NCSU

In this talk, we will study Seifert fibered three-manifolds. While simple to define, they comprise 6 of the 8 Thurston geometries, and are an important testing ground for many questions and invariants. We will present several constructions/definitions of these manifolds and learn how to work with them explicitly.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Wednesday, April 3, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Peter Feller – ETH Zurich – peter.feller@math.ethz.ch

In the setup of classical knot theory---the study of embeddings of the circle into S^3---we recall two examples of classical knot invariants: the Alexander polynomial and the Seifert form.

We then introduce notions from knot-concordance theory, which is concerned with the study of slice surfaces of a knot K---surfaces embedded in the 4-ball B^4 with boundary the knot K. We will comment on the difference between the smooth and topological theory with a focus on a surprising feature of the topological theory: classical invariants govern the existence of slice surfaces of low genus in a way that is not the case in the smooth theory. This can be understood as an analogue of a dichotomy in the study of smooth and topological 4-manifolds.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, April 1, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Ahmad Issa – University of Texas, Austin

A link in the 3-sphere is doubly slice if it is the cross-section of an unknotted 2-sphere in the 4-sphere. The double branched cover of a doubly slice link is a 3-manifold which embeds in the 4-sphere. For doubly slice Montesinos links, this produces embeddings of Seifert fibered spaces in S^4. In this pre-talk, I'll discuss a construction and an obstruction to being doubly slice.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 11, 2019 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 257
- Speaker
- Hannah Schwartz – Bryn Mawr

In this talk, we will examine the relationship between homotopy, topological isotopy, and smooth isotopy of surfaces in 4-manifolds. In particular, we will discuss how to produce (1) examples of topologically but not smoothly isotopic spheres, and (2) a smooth isotopy from a homotopy, under special circumstances (i.e. Gabai's recent work on the ``4D Lightbulb Theorem").

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