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Tropical Geometry in Combinatorics and Algebra October 12, 2009 - October 16, 2009
Registration Deadline: October 16, 2009 almost 15 years ago
To apply for Funding you must register by: July 12, 2009 about 15 years ago
Parent Program:
Organizers Federico Ardila* (San Francisco State University), David Speyer (MIT), Jenia Tevelev (U Mass Amherst), Lauren Williams (Harvard)

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This workshop will concentrate on tropical methods in Combinatorics and Algebra. Some of the topics we expect to explore are: Tropical ideas in combinatorial linear algebra, such as tropical convexity, tropical linear spaces and oriented matroids, tropical matrix algebra and its applications. Tropical methods in combinatorial representation theory, including both discovery of new formulas and improved understanding of old ones. Computational issues, including both how to compute tropical objects and how to use tropical tools in other computational settings. Applications of tropical methods in algebraic statistics. Accomodations: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The cut-off date for reservations is September 25, 2009. A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: 0910MSRITR. The cut-off date for reservations is September 11, 2009. The rate is $129 per night plus tax. New, completely renovated Hotel Shattuck Plaza has rooms available for you as well! Click here to book online Or, you can make reservations calling the main line, 510-845-7300, and asking for the rate for the MSRI Tropical Geometry in Combinatorics and Algebra. The room rate is $119 per night plus tax. We also hold a block of rooms at the Doubletree Hotel. Please mention the MSRI as a reference when making reservations by calling 510-548-7920 OR directly on their website. The Doubletree Hotel offers complementary shuttle to and from MSRI. The room rate is $99 per night.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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 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.

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

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Schedule, Notes/Handouts & Videos
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Oct 12, 2009
09:30 AM - 10:30 AM
  Topology of compactified tropicalizations
Sam Payne (University of Texas, Austin)
11:00 AM - 12:00 PM
  Newton polyhedra and Minkowski integrals.
Alex Esterov
02:00 PM - 03:00 PM
  Realization Spaces for Tropical Varieties
Eric Katz (Ohio State University)
Oct 13, 2009
09:30 AM - 10:30 AM
  Geometric crystals and tropical combinatorics
Arkady Berenstein (University of Oregon)
11:00 AM - 12:00 PM
  Bases of tropical Plucker functions, wirings, tilings and Leclerc-Zelevinsky conjectures.
Gleb Koshevoy
02:00 PM - 03:00 PM
  Tropical geometry and dissimilarity vectors of trees
Filip Cools
04:00 PM - 05:00 PM
  Tropicalization of Teichmuller spaces
Daniele Alessandrini (Ruprecht-Karls-Universität Heidelberg)
Oct 14, 2009
09:00 AM - 10:00 AM
  Tropical analytic geometry and the Bogomolov conjecture
Walter Gubler
10:30 AM - 11:30 AM
  Linear Systems on Tropical Curves
Josephine Yu (Georgia Institute of Technology)
11:45 AM - 12:45 PM
  Tropical bounds on effective cycles
Diane Maclagan (University of Warwick)
Oct 15, 2009
09:30 AM - 10:30 AM
  Metric properties of the tropical Abel-Jacobi map
Matthew Baker (Georgia Institute of Technology)
11:00 AM - 12:00 PM
  On the tropical Torelli map
Filippo Viviani
02:00 PM - 03:00 PM
  Enumeration of plane curves and labeled floor diagrams
Sergey Fomin (University of Michigan)
Oct 16, 2009
09:30 AM - 10:30 AM
  Coarse tropical convexity and cellular resolutions
Michael Joswig (TU Berlin)
10:30 AM - 11:00 AM
  Brief Software Tutorial
Michael Joswig (TU Berlin)
11:00 AM - 12:00 PM
  Combinatorics and genus of tropical intersections and Ehrhart theory
Thorsten Theobald
02:00 PM - 03:00 PM
  Tropical cycles and Chow polytopes
Alexander Fink (School of Mathematical Sciences, Queen Mary, University of London)
04:00 PM - 05:00 PM
  Buildings and tropical geometry
Annette Werner