Difference between revisions of "Matroids seminar"

From UW-Math Wiki
Jump to: navigation, search
Line 8: Line 8:
  
 
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).
 
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).
 +
 +
'''Organizers''': Colin Crowley, Connor Simpson; Daniel Corey, Jose Israel Rodriguez
 +
 
{| cellpadding="8px" style="vertical-align:top; text-align:left; cellpadding:10px;"
 
{| cellpadding="8px" style="vertical-align:top; text-align:left; cellpadding:10px;"
 
|1/18/2019
 
|1/18/2019
Line 20: Line 23:
 
|1/25/2019 & 2/1/2019
 
|1/25/2019 & 2/1/2019
 
|
 
|
<div style="font-weight:bold;">[https://www.math.wisc.edu/~jose/ Jose Rodriguez]</div>
+
<div style="font-weight:bold;">[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez]</div>
 
<div class="mw-collapsible mw-collapsed" data-expandtext="Show abstract" data-collapsetext="Hide abstract" style="width:450px; overflow:auto;">
 
<div class="mw-collapsible mw-collapsed" data-expandtext="Show abstract" data-collapsetext="Hide abstract" style="width:450px; overflow:auto;">
 
<div><i>Algebraic matroids in action</i></div>
 
<div><i>Algebraic matroids in action</i></div>

Revision as of 15:59, 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! If you would like to talk but need ideas, see the Matroids seminar/ideas page.

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).

Organizers: Colin Crowley, Connor Simpson; Daniel Corey, Jose Israel Rodriguez

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 in action

We discuss algebraic matroids and their applications; see Algebraic Matroids in Action.

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.

2/22/2019
The Kazhdan-Lusztig polynomial of a matroid

Classically, Kazdhan-Lusztig polynomials are associated to intervals of the Bruhat poset of a Coxeter group. We will discuss an analogue of Kazdhan-Lusztig polynomials for matroids, including results and conjectures from these two papers.