Slides from Talks

Art Duval

(These top files, starting from October 2007, are full-color slideshows.)
Spanning trees and the critical group of simplicial complexes
Mathematics Colloquium, New Mexico State University, October 20, 2011.
Critical groups of simplicial complexes
Formal Power Series and Algebraic Combinatorics, June 17, 2011.
Spanning trees and the critical group of simplicial complexes
Mathematics Seminar, Reed College, April 28, 2011.
The G-Shi arrangement, and its relation to G-parking functions
CombinaTexas, Sam Houston State University, April 16, 2011.
The G-Shi arrangement, and its relation to G-parking functions
9th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, New Mexico State University, April 2, 2011.
The Importance of being Equivalent: The Ubiquity of equivalence relations in mathematics, K-16+
Math Education Seminar, University of Kentucky, March 31, 2011.
Spanning trees and the critical group of simplicial complexes
Discrete CATS Seminar, University of Kentucky, March 30, 2011.
The G-Shi arrangement, and its relation to G-parking functions
Joint Mathematics Meetings, New Orleans, January 8, 2011.
The Critical group of a simplicial complex
AMS Regional Meeting, University of Notre Dame, November 7, 2010.
Variations on a G-theme: The G-Shi arrangement, and its relation to G-parking functions
Mathematics Colloquium, Texas A&M University at Galveston, September 10, 2010.
  • The corresponding paper has not yet been written.
    The Critical group of a simplicial complex
    CombinaTexas, Texas State University, April 24, 2010.
    • Slides (full-color slideshow): .pdf
    • See also "Critical groups of simplicial complexes" on my preprint/reprints page.
    Combinatorial Laplacians
    Southeast Texas Discrete Math & Applications Workshop, Texas A&M University at Galveston, October 10, 2009.
    • Slides (full-color slideshow): .pdf
  • Bibliography: .tex .pdf
    Spanning trees and Laplacians of cubical complexes
    CombinaTexas, University of Houston, April 2009.
    • Slides (full-color slideshow): .pdf
  • See also "Cellular spanning trees and Laplacians of cubical complexes" on my preprint/reprints page
    Simplicial spanning trees
    4th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, November 2008.
    • Slides (full-color slideshow): .pdf
    • See also "Simplicial matrix-tree theorems" on my preprint/reprints page
    Simplicial spanning trees
    Discrete Mathematics & Representation Theory Seminar, University of California at Davis, May 2008.
    • Slides (full-color slideshow): .pdf
    • See also "Simplicial matrix-tree theorems" on my preprint/reprints page
    A Simplicial matrix-tree theorem, II. Examples
    AMS Regional Meeting, DePaul University, October 2007.
    • Slides (full-color slideshow): .pdf
  • See also "Simplicial matrix-tree theorems" on my preprint/reprints page
    • (Note: Every set of "overlays" of these following older talks has been combined into a single slide, and, obviously, hand-drawn colorings and other additions, especially to pictures, are not included.)
    Counting weighted simplicial spanning trees of shifted complexes
    AMS Regional Meeting, Davidson College, March 2007.
  • Slides (black & white): .dvi .ps .pdf
  • See also "Simplicial matrix-tree theorems" on my preprint/reprints page
    Counting weighted simplicial spanning trees of shifted complexes
    CombinaTexas, Texas A&M University, February 2007.
  • Slides (black & white): .dvi .ps .pdf
  • See also "Simplicial matrix-tree theorems" on my preprint/reprints page
    Matroid Steiner complexes are Laplacian integral
    AMS Regional Meeting, Bard College, October 2005.
  • The corresponding paper has not yet been written
    Eigenvalues of combinatorial Laplacians
    MAA Regional Meeting, University of Texas at El Paso, April 2005.
  • See also "Shifted Simplicial Complexes are Laplacian Integral" on my preprint/reprints page
    A Relative Laplacian Spectral Recursion
    CombinaTexas, Texas State University, San Marcos, February 2005.
  • See also "A Relative Laplacian Spectral Recursion" on my preprint/reprints page
    A Relative Laplacian Spectral Recursion
    Richard Stanley 60th Birthday Conference, MIT, June 2004.
  • See also "A Relative Laplacian Spectral Recursion" on my preprint/reprints page
    Port Complexes and the Laplacian Spectral Recursion
    CombinaTexas, Texas A&M University, April 2004.
  • The corresponding paper has not yet been written
    Shifted Simplicial Complexes and Algebraic Shifting
    AMS Regional Meeting, Binghamton University, October 2003.