### TBA by Gabriel Islambouli

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, December 5, 2022 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Gabriel Islambouli – UC Davis

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- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, December 5, 2022 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Gabriel Islambouli – UC Davis

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, September 19, 2022 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Abdalrazzaq (Abdul) Zalloum – University of Toronto

A geodesic metric space is said to be CAT(0) if triangles are at most as fat as triangles in the Euclidean plane. A CAT(0) cube complex is a CAT(0) space which is built by gluing Euclidean cubes isometrically along faces. Due to their fundamental role in the resolution of the virtual Haken's conjecture, CAT(0) cube complexes have since been a central object of study in geometric group theory and their study has led to ground-breaking advances in 3–manifold theory. The class of groups admitting proper cocompact actions on CAT(0) cube complexes is very broad and it includes hyperbolic 3-manifolds, most non-geometric 3 manifold groups, small cancelation groups and many others.

A revolutionary work of Sageev shows that the entire structure of a CAT(0) cube complexes is encoded in its hyperplanes and the way they interact with one another. I will discuss Sageev's theorem which provides a recipe for constructing group actions on CAT(0) cube complexes using some very simple and purely set theoretical data.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 22, 2021 - 13:00 for 1 hour (actually 50 minutes)
- Location
- ONLINE
- Speaker
- Tyrone Ghaswala – CIRGET, Université du Québec à Montréal – tyrone.ghaswala@cirget.ca

This pre-talk will be an introduction to infinite-type surfaces and big mapping class groups. I will have a prepared talk, but it will be extremely informal, and I am more than happy to take scenic diversions if the audience so desires!

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, April 20, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Michelle Chu – University of Illinois at Chicago – michu@uic.edu

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, April 13, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Maggie Miller – Princeton University – maggiem@math.princeton.edu

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 30, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skile 006
- Speaker
- Anthony Conway – Max Planck Institut für Mathematik – anthonyyconway@gmail.com

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, March 9, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Allison Miller – Rice University – allison.miller@rice.edu

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, February 17, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Kate Poirier – CUNY - City College of Technology – KPoirier@citytech.cuny.edu

String topology studies various algebraic structures given by intersecting loops in a manifold, as well as those on the Hochschild chains or homology of an algebra. In this preparatory talk, we survey a collection of such structures and their relationships with one another.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, February 3, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Gage Martin – Boston College – martaic@bc.edu

A discussion of Khovanov-Lee homology, how to extract some invariants of braid closures from the homology theory, and motivation for studying both the homology theory and the invariants.

- Series
- Geometry Topology Seminar Pre-talk
- Time
- Monday, January 27, 2020 - 12:45 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Manuel Rivera – Purdue – river227@purdue.edu

In the first talk I will introduce the main constructions, many of which are classical, from scratch. This part will be introductory and accessible to a general audience with a basic knowledge of topology. This introduction will also serve as preparation for the main talk in which I will outline the proof and discuss some applications.

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