====== Study Seminar on Matroid Theory ====== ===== FALL 2012 ===== [[http://www.anybrowser.org/campaign/|Best Viewed With Any Browser]] Organizers: [[laura/|Laura Anderson]] and [[zaslav/|Thomas Zaslavsky]]. Meetings on Wednesdays, 3:30 – 4:30 p.m., in LN-2206. \\ All are invited. This will be a very elementary introduction to the basics of matroids, based on James Oxley, Matroid Theory, second edition. Zaslavsky hopes to teach a course on matroid theory in the spring; this could be (optional) preparation for it. ---- **Wednesday, September 5**\\ Jackie Kaminski\\ Ch. 1, Sect. 1: Definitions by independent sets and by circuits. The main examples (1): Vector matroids. **Wednesday, September 12**\\ Jackie Kaminski\\ Ch. 1, Sect. 1: The main examples (2): Graphic matroids.\\ Simon Joyce\\ Ch. 1, Sect. 2: Definition by bases. **Wednesday, September 19**\\ Simon Joyce\\ Ch. 1, Sect. 2: Definition by bases. **Wednesday, October 3**\\ Kaitlin Reissig\\ Ch. 1, Sect. 3: Definition by and properties of rank. **Wednesday, October 10**\\ Alex Schaefer\\ Ch. 1, Sect. 4: Definition by and properties of closure. **Wednesday, October 17**\\ Alex Schaefer\\ Ch. 1, Sect. 4: Properties of closure. **Wednesday, October 24**\\ Tom Zaslavsky\\ Ch. 1, Sect. 5: Small examples and geometrical drawings. (Emphasis on affine representation and on projective and affine geometries over tiny fields.) **Wednesday, October 31**\\ Jackie Kaminski\\ Ch. 1, Sect. 7: The lattice of flats. **Wednesday, November 7**\\ Jackie Kaminski\\ Ch. 1, Sect. 7: The lattice of flats: more! **Wednesday, November 14**\\ Tom Zaslavsky\\ Why matroids? Or, what is matroid theory about? (With a quick explanation of orthogonal duality of vector configurations vis-á-vis matroid duality.) **Wednesday, November 21**\\ (Thanksgiving holiday) **Wednesday, November 28**\\ Simon Lepkin\\ Ch. 1, Sect. 6: The main examples (3): Transversal matroids. **Wednesday, December 5**\\ Craig DeFelice\\ Ch. 2, Sect. 1, first half: Duality (part 1). **Wednesday, December 12**\\ \\ Ch. 2, Sect. 1, second half: Duality (part 2).\\ Ch. 2, Sect. 2: Duality (part 3). ---- [[http://www.math.binghamton.edu/|Departmental home page]]. ----