Home /  Geometric and topological combinatorics: Modern techniques and methods


Geometric and topological combinatorics: Modern techniques and methods October 09, 2017 - October 13, 2017
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Patricia Hersh (North Carolina State University), LEAD Victor Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (University of California, Berkeley; Max-Planck-Institut für Mathematik in den Naturwissenschaften), Frank Vallentin (Universität zu Köln), Günter Ziegler (Freie Universität Berlin)

Show List of Speakers

This workshop will focus on the interaction between Combinatorics, Geometry and Topology, including recent developments and techniques in areas such as  -- polytopes and cell complexes, -- simplicial complexes and higher order graph theory, -- methods from equivariant topology and configuration spaces, -- geometric combinatorics in optimization and social choice theory, -- algebraic and algebro-geometric methods. Bibliography (PDF)   Group Picture
Keywords and Mathematics Subject Classification (MSC)
  • geometry

  • combinatorics

  • topology

  • polytope

  • polyheron

  • convex

  • discrete

  • arragement

  • optimization

  • matroid

  • Ehrhart

  • face

  • toric

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Funding & Logistics Show All Collapse

Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Show Lodging

For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

Show Directions to Venue

Show Visa/Immigration

Show Reimbursement Guidelines

Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Show All Collapse
Oct 09, 2017
09:15 AM - 09:30 AM
09:30 AM - 10:30 AM
  Negative correlation and Hodge-Riemann relations
June Huh (Institute for Advanced Study)
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  A counterexample to the extension space conjecture for realizable oriented matroids
Xue (Gaku) Liu (Max-Planck-Institut für Mathematik in den Naturwissenschaften)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Recent developments on chromatic quasisymmetric functions
Michelle Wachs (University of Miami)
03:00 PM - 03:30 PM
03:30 PM - 04:30 PM
  Intersections of finite sets: geometry and topology
Florian Frick (Carnegie Mellon University)
Oct 10, 2017
09:30 AM - 10:30 AM
  Combinatorial positive valuations
Katharina Jochemko (Royal Institute of Technology (KTH))
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  Symmetric Sums of Squares over k-Subset Hypercubes
Annie Raymond (University of Massachusetts Amherst)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Mogami triangulations
Bruno Benedetti (University of Miami)
03:00 PM - 03:30 PM
03:30 PM - 04:30 PM
  The geometry of scheduling
Caroline Klivans (Brown University)
04:30 PM - 06:15 PM
Oct 11, 2017
09:00 AM - 10:00 AM
  Around the lower bound theorem for polytope
Eran Nevo (The Hebrew University of Jerusalem)
10:00 AM - 10:30 AM
10:30 AM - 11:30 AM
  Generic toric varieties, one-sided pairings and the Lefschetz theorem
Karim Adiprasito (The Hebrew University of Jerusalem)
11:30 AM - 12:30 PM
  Computing simplicial representatives of homotopy group elements
Uli Wagner (Institute of Science and Technology Austria)
Oct 12, 2017
09:30 AM - 10:30 AM
  Combinatorics of the Tree Amplituhedron
Lauren Williams (Harvard University)
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  Unwinding The Amplituhedron
Hugh Thomas (Université du Québec à Montréal)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Hyperbolicity, determinants, and reciprocal linear spaces
Cynthia Vinzant (University of Washington)
03:00 PM - 03:30 PM
04:10 PM - 05:00 PM
  The first hundred years of Helly’s theorem
Jesus De Loera (University of California, Davis)
Oct 13, 2017
09:30 AM - 10:30 AM
  Complexity of counting integer points
Igor Pak (University of California, Los Angeles)
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  Bott-Samelson varieties and combinatorics
Laura Escobar (University of Illinois at Urbana-Champaign)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Moving a robotic arm in a tunnel
Federico Ardila (San Francisco State University)
03:00 PM - 03:30 PM
03:30 PM - 04:30 PM
  Triangulations of root polytopes and Tutte polynomials
Alexander Postnikov (Massachusetts Institute of Technology)