| Talk_id | Date | Speaker | Title |
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29159
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Thursday 9/16
3:00 PM
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Chen Zhang, Michigan State University
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An introduction to Instanton Floer homology
- Chen Zhang, Michigan State University
- An introduction to Instanton Floer homology
- 09/16/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
Instanton Floer homology is a three-manifold invariant connected to Donaldson theory introduced by Floer himself which turns out to be a powerful tool to study 3-manifolds. In today’s talk, I will first briefly review the (ordinary) Morse background and to introduce basic notions about connections. Then we will see the definition and basic properties of the Chern-Simons invariant, and a sketch of the construction of the instanton homology of a homology 3-sphere. Lastly, we will see some applications of the Instanton Floer homology and some other versions of Instanton Floer homology if time permits.
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29129
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Thursday 9/23
3:00 PM
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Christopher Potvin, MSU
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Hypergraphs & their Homology
- Christopher Potvin, MSU
- Hypergraphs & their Homology
- 09/23/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel (vannield@msu.edu)
Hypergraphs are generalizations of both graphs and simplicial complexes. They are often used to represent data for which graphs or simplices do not tell the whole story. As with many data structures, the new hotness is to do TDA (Topological Data Analysis) on hypergraphs. In this talk, I will introduce hypergraphs, why they are useful, and talk about their homology.
https://msu.zoom.us/j/91485321701
Meeting ID: 914 8532 1701
Passcode: SGTS
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29158
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Thursday 9/30
3:00 PM
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Keshav Sutrave, Michigan State University
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Connections: a meditation in three parts
- Keshav Sutrave, Michigan State University
- Connections: a meditation in three parts
- 09/30/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
No abstract available.
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29157
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Thursday 10/7
3:00 PM
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Chris St. Clair, Michigan State University
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Knots and Crosses: An Introduction to Grid Diagrams
- Chris St. Clair, Michigan State University
- Knots and Crosses: An Introduction to Grid Diagrams
- 10/07/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel (vannield@msu.edu)
Grid diagrams are a type of knot diagram which allow us to tackle problems in knot theory combinatorially. After introducing them we will explore some examples of their use in traditional knot invariants and hint at their place in understanding manifolds.
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29152
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Thursday 10/14
3:00 PM
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Joseph Melby, Michigan State University
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Quantum invariants, shadows, and volume
- Joseph Melby, Michigan State University
- Quantum invariants, shadows, and volume
- 10/14/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel (vannield@msu.edu)
I will give some sort of introduction to a cool quantum 3-manifold invariant called the Turaev-Viro invariant and connect it to hyperbolic geometry through the Volume Conjecture. Then we will talk about shadows of 4-manifolds and how they can be used to prove the asymptotic additivity (we made this term up) of the Turaev-Viro invariants for a certain family of link complements.
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29160
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Thursday 10/21
3:00 PM
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Tristan Wells, Michigan State University
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Introduction to Trisections of 4 Manifolds
- Tristan Wells, Michigan State University
- Introduction to Trisections of 4 Manifolds
- 10/21/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
This talk aims to introduce and give an overview of a tool for studying four manifolds which I explored in some depth at a recent workshop at the University of Nebraska this summer: Trisections. Pioneered by Rob Kirby and David Gay, the slogan "trisections are to 4-manifolds as Heegaard splittings are to 3-manifolds" encouraged many other low-dimensional topologists to investigate this tool further. In particular, I'll define a 4-manifold trisections, present some of their basic properties, some nice results from trisection literature, and some of the numerous problems and questions going forward.
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29161
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Thursday 10/28
3:00 PM
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Jared Able, Michigan State University
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Murasugi sums and braids
- Jared Able, Michigan State University
- Murasugi sums and braids
- 10/28/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
For your favorite knot K, there's a braid diagram for K with n strings, and there are (n-2) ways to split the braid along a string into a pair of braids. What pairs of braids can this splitting yield? To answer this question, we take a detour into the realm of the Murasugi sum, an operation on knots and their Seifert surfaces.
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29162
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Thursday 11/4
3:00 PM
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Zhixin Wang, Michigan State University
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TBD
- Zhixin Wang, Michigan State University
- TBD
- 11/04/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
No abstract available.
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29163
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Thursday 11/11
3:00 PM
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Astrid Olave, Michigan State University
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Revealing brain network dynamics during the emotional state of suspense using topological data analysis
- Astrid Olave, Michigan State University
- Revealing brain network dynamics during the emotional state of suspense using topological data analysis
- 11/11/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
No abstract available.
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29164
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Thursday 11/18
3:00 PM
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TBD, Michigan State University
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TBD
- TBD, Michigan State University
- TBD
- 11/18/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
No abstract available.
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29165
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Thursday 12/2
3:00 PM
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Danika Van Niel, Michigan State University
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Isotropy Separation Sequence Part 1
- Danika Van Niel, Michigan State University
- Isotropy Separation Sequence Part 1
- 12/02/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
No abstract available.
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29166
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Thursday 12/9
3:00 PM
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Chloe Lewis, Michigan State University
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Isotropy Separation Sequence Part 2
- Chloe Lewis, Michigan State University
- Isotropy Separation Sequence Part 2
- 12/09/2021
- 3:00 PM - 4:00 PM
- C304 Wells Hall
- Danika Keala Van Niel ()
No abstract available.
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