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Mathematical Sciences Research Institute

Home » Geometric and topological combinatorics: Modern techniques and methods

Workshop

Geometric and topological combinatorics: Modern techniques and methods October 09, 2017 - October 13, 2017
Registration Deadline: October 13, 2017 2 months ago
To apply for Funding you must register by: July 09, 2017 5 months ago
Parent Program:
Location: MSRI: Simons Auditorium, Atrium
Organizers Patricia Hersh (North Carolina State University), LEAD Victor Reiner (University of Minnesota Twin Cities), Bernd Sturmfels (University of California, Berkeley), Frank Vallentin (Universität zu Köln), Günter Ziegler (Freie Universität Berlin)
Speaker(s)

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Description
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)
Tags/Keywords
  • 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

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

Students, recent Ph.D.'s, 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.

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MSRI has a preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Oct 09, 2017
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Negative correlation and Hodge-Riemann relations
June Huh (Institute for Advanced Study)
10:30 AM - 11:00 AM
  Break
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
  Lunch
02:00 PM - 03:00 PM
  Recent developments on chromatic quasisymmetric functions
Michelle Wachs (University of Miami)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Intersections of finite sets: geometry and topology
Florian Frick (Cornell University)
Oct 10, 2017
Tuesday
09:30 AM - 10:30 AM
  Combinatorial positive valuations
Katharina Jochemko (Royal Institute of Technology (KTH))
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Symmetric Sums of Squares over k-Subset Hypercubes
Annie Raymond (University of Washington)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Mogami triangulations
Bruno Benedetti (University of Miami)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The geometry of scheduling
Caroline Klivans (Brown University)
04:30 PM - 06:15 PM
  Reception
Oct 11, 2017
Wednesday
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
  Break
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
Thursday
09:30 AM - 10:30 AM
  Combinatorics of the Tree Amplituhedron
Lauren Williams (University of California, Berkeley)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Unwinding The Amplituhedron
Hugh Thomas (Université du Québec à Montréal)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Hyperbolicity, determinants, and reciprocal linear spaces
Cynthia Vinzant (North Carolina State University)
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  The first hundred years of Helly’s theorem
Jesus De Loera (University of California, Davis)
Oct 13, 2017
Friday
09:30 AM - 10:30 AM
  Complexity of counting integer points
Igor Pak (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
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
  Lunch
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
  Tea
03:30 PM - 04:30 PM
  Triangulations of root polytopes and Tutte polynomials
Alexander Postnikov (Massachusetts Institute of Technology)