Matroids seminar: Difference between revisions
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|1/18/2019 | |1/18/2019 | ||
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<div style="font-weight:bold;">Daniel Corey</div> | <div style="font-weight:bold;">[https://sites.google.com/site/dcorey2814/home Daniel Corey]</div> | ||
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<div><i>Introduction to matroids</i></div> | <div><i>Introduction to matroids</i></div> | ||
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We'll cover the basic definitions and some examples, roughly following [http://web.ma.utexas.edu/users/sampayne/pdf/Math648Lecture3.pdf these notes]. | We'll cover the basic definitions and some examples, roughly following [http://web.ma.utexas.edu/users/sampayne/pdf/Math648Lecture3.pdf these notes]. | ||
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|1/25/2019 & 2/1/2019 | |||
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<div style="font-weight:bold;">[https://www.math.wisc.edu/~jose/ Jose Rodriguez]</div> | |||
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<div><i>Algebraic matroids</i></div> | |||
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We talk about algebraic matroids, matroid polytopes, and their connection to algebraic geometry. | |||
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|2/8/2019 | |||
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<div style="font-weight:bold;">[http://www.math.wisc.edu/~csimpson6/ Connor Simpson]</div> | |||
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<div><i>Proving the Heron-Rota-Welsh conjecture</i></div> | |||
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We outline the proof of the Heron-Rota-Welsh conjecture given by Adiprasito, Huh, and Katz in their paper [https://arxiv.org/abs/1511.02888 Hodge theory for combinatorial geometries] | |||
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|2/15/2019 | |||
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<div style="font-weight:bold;">Colin Crowley</div> | |||
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<div><i>Matroid polytopes</i></div> | |||
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We outline the original formulation of matroid polytopes as moment polytopes of subvarieties of the Grassmanian, following [http://www.math.ias.edu/~goresky/pdf/combinatorial.jour.pdf Combinatorial Geometries, Convex Polyhedra, and Schbert Cells]. | |||
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Revision as of 19:47, 16 February 2019
The matroids seminar & reading group meets 10:00--10:45 on Fridays in Van Vleck 901 in order to discuss matroids from a variety of viewpoints. In particular, we aim to
- survey open conjectures and recent work in the area
- compute many interesting examples
- discover concrete applications
We are happy to have new leaders of the discussion, and the wide range of topics to which matroids are related mean that each week is a great chance for a new participant to drop in!
To help develop an inclusive environment, a subset of the organizers will be available before the talk in the ninth floor lounge to informally discuss background material e.g., "What is a variety?" (this is especially for those coming from an outside area).
| 1/18/2019 |
Introduction to matroids
We'll cover the basic definitions and some examples, roughly following these notes. |
| 1/25/2019 & 2/1/2019 |
Algebraic matroids
We talk about algebraic matroids, matroid polytopes, and their connection to algebraic geometry. |
| 2/8/2019 |
Proving the Heron-Rota-Welsh conjecture
We outline the proof of the Heron-Rota-Welsh conjecture given by Adiprasito, Huh, and Katz in their paper Hodge theory for combinatorial geometries |
| 2/15/2019 |
Colin Crowley
Matroid polytopes
We outline the original formulation of matroid polytopes as moment polytopes of subvarieties of the Grassmanian, following Combinatorial Geometries, Convex Polyhedra, and Schbert Cells. |