### TBA by Ian Runnels

- Series
- Geometry Topology Seminar
- Time
- Monday, November 16, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Ian Runnels – University of Virginia – iir4pk@virginia.edu

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- Series
- Geometry Topology Seminar
- Time
- Monday, November 16, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Ian Runnels – University of Virginia – iir4pk@virginia.edu

- Series
- Geometry Topology Seminar
- Time
- Monday, November 9, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Hakan Doga – University of Buffalo – hakandog@buffalo.edu

Computing, understanding the behavior of concordance invariants obtained from knot Floer homology theories is quite central to the study of the concordance group and low-dimensional topology in general. In this talk, I will describe the method that allows us to compute the concordance invariant epsilon using combinatorial knot Floer homology and talk about some computational results. This is a joint work with S. Dey.

- Series
- Geometry Topology Seminar
- Time
- Monday, November 2, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- on line
- Speaker
- Rima Chatterjee – LSU

**Please Note:** Knots/links associated to overtwisted contact structures have been less explored. There are two types of knots/links in overtwisted contact manifolds, namely loose and non-loose. In this talk, I will start with an overview of these knots and then discuss some of my recent work involving these knots and links. Specifically, I will talk about a coarse classification result of loose, null-homologous Legendrian and transverse links . Next relating them with open book decompositions, I will show that coarse equivalence class of loose null-homologous Legendrian links has support genus zero. I will end with some interesting open questions.

- Series
- Geometry Topology Seminar
- Time
- Monday, October 26, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Michelle Chu – University of Illinois at Chicago – michu@uic.edu

The smallest volume cusped hyperbolic 3-manifolds, the figure-eight knot complement and its sister, contain many immersed but no embedded closed totally geodesic surfaces. In this talk we discuss the existence or lack thereof of codimension-1 closed embedded totally geodesic submanifolds in minimal volume cusped hyperbolic 4-manifolds. This talk is based on joint work with Alan Reid.

- Series
- Geometry Topology Seminar
- Time
- Monday, October 19, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Speaker
- Shea Vela Vick – Louisiana State University – shea@math.lsu.edu

A cobordism between 3-manifolds is ribbon if it is built from handles of index no greater than 2. Such cobordisms arise naturally from several different topological and geometric contexts. In this talk, we discuss these objects and present a few obstructions to their existence, from Thurston geometries, character varieties, and instanton and Heegaard Floer homologies. This is joint work with Aliakbar Daemi, Tye Lidman, and Mike Wong.

- Series
- Geometry Topology Seminar
- Time
- Monday, October 12, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- https://dartmouth.zoom.us/j/98031035804?pwd=NnBpTlhVS2lzVzFWTkYyTlloeWVuQT09
- Speaker
- Ina Petkova – Dartmouth

Given a contact structure on a bordered 3-manifold, we describe an invariant which takes values in the bordered sutured Floer homology of the manifold. This invariant satisfies a nice gluing formula, and recovers the Oszvath-Szabo contact class in Heegaard Floer homology. This is joint work with Alishahi, Foldvari, Hendricks, Licata, and Vertesi.

Zoom info:

Meeting ID: 980 3103 5804

Passcode: 196398

- Series
- Geometry Topology Seminar
- Time
- Monday, September 28, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Virtual
- Speaker
- Vijay Higgins – UC Santa Barbara – vijay@math.ucsb.edu

The SL2 skein algebra of a surface is built from diagrams of curves on the surface. To multiply two diagrams, we draw one diagram on top of the other and then resolve the crossings with the Kauffman bracket. If we replace SL2 with another quantum group, we replace curves by embedded graphs on the surface. Recently, Thang Le showed that the SL2 skein algebra has a nice decomposition into simpler algebras whenever the surface has an ideal triangulation. This triangular decomposition is a powerful tool and should help us to study other skein algebras if we are able to show that the necessary ingredients exist. In this talk, I will explain what these ingredients are and how to find them for the SL3 skein algebra of trivalent webs on a surface.

8.3.3

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

The 2011 PhD thesis of Farris demonstrated that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a Z/2Z-graded group to the exterior algebra of the homology of its base, the only known computation of ECH to date which does not rely on toric methods. We extend this result by computing the Z-grading on the chain complex, permitting a finer understanding of this isomorphism. We fill in some technical details, including the Morse-Bott direct limit argument and some writhe bounds. The former requires the isomorphism between filtered Seiberg-Witten Floer cohomology and filtered ECH as established by Hutchings--Taubes. The latter requires the work on higher asymptotics of pseudoholomorphic curves by Cristofaro-Gardiner--Hutchings—Zhang.

- Series
- Geometry Topology Seminar
- Time
- Monday, September 14, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- https://bluejeans.com/803706608
- Speaker
- Beibei Liu – Georgia Tech

All 3-manifolds can be described as surgery on links in the three-sphere by the celebrated theorem of Lickorish and Wallace. Motivated by the L-space conjecture, it is interesting to understand what surgery manifolds are L-spaces, which have the simplest possible Floer homology such as lens spaces. In this talk, we concentrate on surgeries on a family of links, which are called L-space links, and show possible L-space surgeries on such links. We also give some link detection results in terms of the surgeries.

- Series
- Geometry Topology Seminar
- Time
- Monday, August 31, 2020 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Allison Moore – Virginia Commonwealth University – moorea14@vcu.edu

We will describe several appearances of Milnor’s invariants in the link Floer complex. This will include a formula that expresses the Milnor triple linking number in terms of the h-function. We will also show that the triple linking number is involved in a structural property of the d-invariants of surgery on certain algebraically split links. We will apply the above properties toward new detection results for the Borromean and Whitehead links. This is joint work with Gorsky, Lidman and Liu.

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