Tropical Geometry, Amoebas and Polytopes
January 15 - April 30, 2018
Tropical geometry is a fast growing field at the interface between algebraic geometry and combinatorics with deep connections to many branches of pure mathematics, applied mathematics, and physics.
Algebraic varieties can be logarithmically degenerated to tropical varieties, which are polyhedral complexes satisfying certain combinatorial properties. At any intermediate stage before reaching its final limit, the degeneration process yields a structure known as an amoeba. Both tropical varieties and amoebas are dual to subdivisions of polytopes, and this leads to an infusion of combinatorial methods into algebraic, complex-analytic, and non-Archimedean geometry.
In our programme, we plan to focus on tropical algebra and applications; combinatorics, polytopes, and complexity; moduli spaces of curves and mirror symmetry; and tropical geometry and amoebas in higher dimension.
Scientific Advisory Board: Mark Gross (Cambridge), Ilia Itenberg (Paris), Michael Joswig (Berlin), Grigory Mikhalkin (Geneva), Bernd Sturmfels (Berkeley)
Workshop on Tropical algebra and applications, Jan 22-26
Workshop on Combinatorics, polytopes, and complexity, Feb 19-23
Workshop on Moduli spaces of curves and mirror symmetry, March 19-23
Workshop on Tropical varieties and amoebas in higher dimension, April 16-20 This conference is sponsored by the Simons Foundation.
Seminars Scroll to the next upcoming seminar
Recordings
Participants
| Name | University | Country | Arrival and Departure |
|---|---|---|---|
| Karim Adiprasito | University: KTH Royal Institute of Technology | Country: Sweden | Arrival and Departure: Feb 6 - Feb 17 |
| Marianne Akian | University: Inria, Ecole Polytechnique, Paris | Country: France | Arrival and Departure: Jan 15 - Mar 2 |
| Hulya Arguz | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Mar 25 - Mar 30 |
| Farhad Babaee | University: Université de Fribourg | Country: Switzerland | Arrival and Departure: Apr 15 - Apr 20 |
| Spencer Backman | University: University of Vermont | Country: United States | Arrival and Departure: Apr 15, Apr 8 - Apr 20, Apr 14 |
| Elizabeth Baldwin | University: University of Oxford | Country: United Kingdom | Arrival and Departure: Jan 20 - Feb 17 |
| Benoit Bertrand | University: I.U.T. de Tarbes | Country: France | Arrival and Departure: Apr 14 - Apr 29 |
| Frederic Bihan | University: Université de Savoi, Le Bourget-du Lac | Country: France | Arrival and Departure: Jan 15 - Feb 3 |
| Guus Bollen | University: Eindhoven University of Technology | Country: The Netherlands | Arrival and Departure: Feb 4 - Feb 10 |
| Madeline Brandt | University: University of California, Berkeley | Country: United States | Arrival and Departure: Jan 16 - Jan 27 |
| Erwan Brugallé | University: Université de Nantes | Country: France | Arrival and Departure: Mar 18, Apr 15 - Mar 23, Apr 28 |
| Janko Böhm | University: TU Kaiserslautern | Country: Germany | Arrival and Departure: Mar 26 - Apr 6 |
| Dustin Cartwright | University: University of Tennessee | Country: United States | Arrival and Departure: Mar 7 - Mar 16 |
| Renzo Cavalieri | University: Colorado State University | Country: United States | Arrival and Departure: Mar 4, Apr 15 - Mar 17, Apr 20 |
| Melody Chan | University: Brown University | Country: United States | Arrival and Departure: Apr 15 - Apr 20 |
| Man-Wai Cheung | University: Harvard University | Country: United Kingdom | Arrival and Departure: Mar 6 - Mar 10 |
| Francisco Criado Gallart | University: TU - Technische Universität Berlin | Country: Germany | Arrival and Departure: Feb 19 - Feb 21 |
| Maria Angelica Cueto | University: Ohio State University | Country: United States | Arrival and Departure: Mar 4 - Mar 16 |
| Emanuele Delucchi | University: Université de Fribourg | Country: Switzerland | Arrival and Departure: Jan 20 - Jan 31 |
| Alicia Dickenstein | University: Universidad de Buenos Aires | Country: Sarghen | Arrival and Departure: Feb 18 - Mar 24 |
| Jan Draisma | University: University of Bern | Country: Argentina | Arrival and Departure: Jan 15 - Apr 21 |
| Antoine Ducros | University: University Pierre et Marie Curie. | Country: France | Arrival and Departure: Apr 15 - Apr 20 |
| Boulos El Hilany | University: Universität Tübingen | Country: Germany | Arrival and Departure: Jan 15 - Jan 27 |
| Alexander Esterov | University: National Research University Higher School of Economics | Country: Russia | Arrival and Departure: Feb 22 - Mar 9 |
| Lorenzo Fantini | University: Institut Mathematiques de Jussieu | Country: France | Arrival and Departure: Apr 15 - Apr 20 |
| Sara Angela Filippini | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Mar 18 - Mar 30 |
| Alex Fink | University: Queen Mary University of London | Country: United Kingdom | Arrival and Departure: Apr 1 - Apr 30 |
| Jens Forsgård | University: University of Geneva | Country: Switzerland | Arrival and Departure: Jan 15 - Apr 25 |
| Tyler Foster | University: Max Planck Institute for Mathematics | Country: Germany | Arrival and Departure: Mar 29 - Apr 14 |
| Stephane Gaubert | University: Inria, Ecole Polytechnique, Paris | Country: France | Arrival and Departure: Jan 14 - Mar 3 |
| Jeffrey Giansiracusa | University: Swansea University | Country: United Kingdom | Arrival and Departure: Feb 11 - Feb 17 |
| Christoph Goldner | University: Universität Tübingen | Country: Germany | Arrival and Departure: Mar 25 - Apr 4 |
| Dima Grigoriev | University: CNRS, Institut des Mathématiques de Lille | Country: France | Arrival and Departure: Feb 19 - Feb 23 |
| Andreas Gross | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Feb 25 - Mar 19 |
| Walter Gubler | University: Universität Regensburg | Country: Germany | Arrival and Departure: Mar 18, Apr 15 - Mar 29, Apr 20 |
| Alexander Guterman | University: Lomonosov Moscow State University, MSU | Country: Russia | Arrival and Departure: Apr 15 - Apr 20 |
| Paul Görlach | University: Max Planck Institute for Mathematics in the Science | Country: Germany | Arrival and Departure: Apr 16 - Apr 30 |
| Christian Haase | University: Freie Universität Berlin | Country: Germany | Arrival and Departure: Feb 18 - Feb 24 |
| Marvin Hahn | University: Universität Tübingen | Country: Germany | Arrival and Departure: Apr 5, Feb 4 - Apr 13, Feb 24 |
| Milena Hering | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Feb 18 - Mar 2 |
| David Holmes (Online) | University: Universiteit Leiden | Country: The Netherlands | Arrival and Departure: Apr 15 - Apr 20 |
| June Huh | University: Institute for Advanced Study, IAS | Country: United States | Arrival and Departure: Apr 15 - Apr 20 |
| Ilia Itenberg | University: Institut de Mathématiques de Jussieu - Paris Rive Gauche | Country: France | Arrival and Departure: Apr 4 - Apr 26 |
| Zur Izhakian | University: University of Aberdeen | Country: United Kingdom | Arrival and Departure: Apr 7 - Apr 30 |
| Andres Jaramillo Puentes | University: Tel Aviv University | Country: Israel | Arrival and Departure: Apr 1 - Apr 14 |
| Philipp Jell | University: Universität Regensburg | Country: Germany | Arrival and Departure: Jan 15 - Apr 26 |
| Anders Jensen | University: Aarhus University | Country: Denmark | Arrival and Departure: Jan 15, Apr 13 - Mar 27, Apr 30 |
| Dave Jensen | University: University of Kentucky | Country: United States | Arrival and Departure: Apr 15 - Apr 20 |
| Marianne Johnson | University: University of Manchester | Country: United Kingdom | Arrival and Departure: Jan 17 - Feb 24 |
| Michael Joswig | University: TU - Technische Universität Berlin | Country: Germany | Arrival and Departure: Jan 21, Feb 18 - Feb 2, Mar 1 |
| Nikita Kalinin | University: HSE St. Petersburg, Laboratory of game theory and decision making | Country: Russia | Arrival and Departure: Feb 12 - Feb 17 |
| Mark Kambites | University: University of Manchester | Country: United Kingdom | Arrival and Departure: Jan 21, Feb 17 - Jan 26, Feb 23 |
| Kiran Kedlaya | University: University of California, San Diego | Country: United States | Arrival and Departure: Apr 15 - Apr 19 |
| Gary Kennedy | University: Ohio State University | Country: United States | Arrival and Departure: Apr 15 - Apr 20 |
| Ayush Kumar Tewari | University: Universität Tübingen | Country: Germany | Arrival and Departure: Jan 14 - Jan 31 |
| Max Kutler | University: Yale University | Country: United States | Arrival and Departure: Mar 1 - Mar 10 |
| Sara Lamboglia | University: University of Warwick | Country: United Kingdom | Arrival and Departure: Feb 4 - Feb 10 |
| Lionel Lang | University: Stockholm University | Country: Sweden | Arrival and Departure: Jan 15 - Apr 28 |
| Michal Lason | University: University of Bern | Country: Switzerland | Arrival and Departure: Feb 23 - Mar 16 |
| Yoav Len | University: Fields Institute, University of Toronto | Country: Canada | Arrival and Departure: Jan 21 - Feb 2 |
| Anton Leykin | University: Georgia Institute of Technology | Country: United States | Arrival and Departure: Feb 11, Mar 18 - Feb 22, Mar 29 |
| Bo Lin | University: University of Texas at Austin | Country: United States | Arrival and Departure: Feb 12 - Apr 30 |
| Georg Loho | University: TU - Technische Universität Berlin | Country: Germany | Arrival and Departure: Jan 28 - Feb 17 |
| Lucia Lopez de Medrano | University: UNAM | Country: Mexico | Arrival and Departure: Mar 26 - Apr 14 |
| Diane Maclagan | University: University of Warwick | Country: United Kingdom | Arrival and Departure: Mar 18 - Apr 21 |
| Gregorio Malajovich | University: Universidade Federal do Rio de Janeiro | Country: Brazil | Arrival and Departure: Jan 15 - Feb 17 |
| Hannah Markwig | University: Universität Tübingen | Country: Germany | Arrival and Departure: Jan 14 - Apr 30 |
| Thomas Markwig | University: Universität Tübingen | Country: Germany | Arrival and Departure: Jan 14 - Apr 30 |
| Margarida Melo | University: Universita Roma Tre | Country: Italy | Arrival and Departure: Apr 2 - Apr 5 |
| Grigory Mikhalkin | University: University of Geneva | Country: Switzerland | Arrival and Departure: Mar 20 - Apr 28 |
| Kalina Mincheva | University: Yale University | Country: United States | Arrival and Departure: Jan 15 - Apr 30 |
| Ralph Morrison | University: Williams College | Country: United States | Arrival and Departure: Jan 14 - Feb 1 |
| Johannes Nicaise | University: Imperial College London | Country: United Kingdom | Arrival and Departure: Apr 15 - Apr 20 |
| Benjamin Nill | University: Otto von Guericke Universität Magdeburg | Country: Germany | Arrival and Departure: |
| Mounir Nisse | University: KIAS, Korea Institute for Advanced Study | Country: South Korea | Arrival and Departure: Apr 8 - Apr 30 |
| Jorge Alberto Olarte | University: Freie Universität Berlin | Country: Germany | Arrival and Departure: Feb 19 - Feb 23 |
| John Christian Ottem | University: University of Oslo | Country: Norway | Arrival and Departure: Apr 18 - Apr 30 |
| Marta Panizzut | University: TU - Technische Universität Berlin | Country: Germany | Arrival and Departure: Feb 18 - Mar 5 |
| Sam Payne (Online) | University: University of Texas at Austin | Country: United States | Arrival and Departure: Mar 18, Apr 15 - Mar 24, Apr 20 |
| Rudi Pendavingh | University: Eindhoven University of Technology | Country: The Netherlands | Arrival and Departure: Feb 25 - Mar 10 |
| Andrea Petracci | University: University of Nottingham | Country: United Kingdom | Arrival and Departure: Mar 17 - Mar 24 |
| Joe Rabinoff | University: Georgia Institute of Technology | Country: United States | Arrival and Departure: Mar 11 - Mar 17 |
| Dhruv Ranganthan | University: Massachusetts Institute of Technology, MIT | Country: United Kingdom | Arrival and Departure: Jan 14 - Jan 19 |
| Johannes Rau | University: Universität Tübingen | Country: Germany | Arrival and Departure: Feb 25 - Mar 31 |
| Yue Ren | University: Max Planck Institute for Mathematics in the Science | Country: The Netherlands | Arrival and Departure: Jan 15 - Apr 30 |
| Arthur Renaudineau | University: Universität Tübingen | Country: Germany | Arrival and Departure: Feb 26 - Apr 30 |
| Felipe Rincon | University: University of Oslo | Country: Norway | Arrival and Departure: Jan 15 - Feb 24 |
| Louis Rowen | University: Bar-Ilan University | Country: Israel | Arrival and Departure: Apr 15 - Apr 20 |
| Helge Ruddat | University: Johannes Gutenberg-Universität Mainz | Country: Germany | Arrival and Departure: Feb 25 - Mar 17 |
| Timur Sadykov | University: Russian University of Economics | Country: Russia | Arrival and Departure: Feb 3 - Feb 10 |
| Raman Sanyal | University: Goethe University Frankfurt am Main | Country: Germany | Arrival and Departure: Feb 4 - Feb 24 |
| Karin Schaller | University: Freie Universität Berlin | Country: Germany | Arrival and Departure: Mar 11 - Mar 30 |
| Benjamin Schröter | University: TU - Technische Universität Berlin | Country: Germany | Arrival and Departure: Jan 15 - Apr 29 |
| Kristin Shaw | University: University of Oslo | Country: Norway | Arrival and Departure: Mar 18 - Apr 30 |
| Eugenii Shustin | University: Tel Aviv University | Country: Israel | Arrival and Departure: Mar 1 - Apr 30 |
| Jeff Sommars | University: University of Illinois at Chicago | Country: United States | Arrival and Departure: Jan 15 - Feb 16 |
| Alejandro Soto | University: Universität Tübingen | Country: Germany | Arrival and Departure: Mar 1 - Mar 24 |
| Frank Sottile | University: Texas A&M University | Country: United States | Arrival and Departure: Apr 1 - Apr 30 |
| Bernd Sturmfels | University: University of California, Berkeley | Country: United States | Arrival and Departure: Apr 15 - Apr 19 |
| Luis Felipe Tabera | University: Universidad de Cantabria | Country: Spain | Arrival and Departure: Apr 1 - Apr 14 |
| Jenia Tevelev | University: University of Massachusetts Amherst | Country: United States | Arrival and Departure: Mar 11 - Mar 17 |
| Thorsten Theobald | University: Goethe University Frankfurt am Main | Country: Germany | Arrival and Departure: Feb 18, Mar 25 - Mar 9, Apr 6 |
| Bach Tran | University: University of Edinburgh | Country: United Kingdom | Arrival and Departure: Feb 11 - Feb 17 |
| Ngoc Mai Tran | University: Hausdorff Center for Mathematics | Country: Germany | Arrival and Departure: Jan 15 - Feb 24 |
| August Tsikh | University: Siberian Federal University | Country: Russia | Arrival and Departure: Mar 18 - Apr 21 |
| Ilya Tyomkin | University: Ben Gurion University of the Negev | Country: Israel | Arrival and Departure: Mar 20 - Apr 30 |
| Martin Ulirsch | University: University of Michigan | Country: United States | Arrival and Departure: Mar 25, Apr 15 - Apr 1, Apr 20 |
| Alejandro Vargas | University: University of Bern | Country: Switzerland | Arrival and Departure: Jan 21, Apr 15 - Feb 24, Apr 20 |
| Jan Verschelde | University: University of Illinois at Chicago | Country: United States | Arrival and Departure: Jan 21 - Jan 27 |
| Oleg Viro | University: Stony Brook University | Country: United States | Arrival and Departure: Apr 15 - Apr 20 |
| Annette Werner | University: Goethe University Frankfurt am Main | Country: Germany | Arrival and Departure: Mar 19, Apr 15 - Mar 23, Apr 20 |
| Jonathan Wise (Online) | University: University of Colorado at Boulder | Country: United States | Arrival and Departure: Apr 15 - Apr 30 |
| Josephine Yu | University: Georgia Institute of Technology | Country: United States | Arrival and Departure: Mar 18 - Mar 29 |
| Chi Ho Yuen | University: Georgia Institute of Technology | Country: United States | Arrival and Departure: Jan 14 - Feb 10 |
| Ilia Zharkov | University: Kansas State University | Country: United States | Arrival and Departure: Mar 11 - Mar 17 |
| Timo de Wolff | University: TU - Technische Universität Berlin | Country: Germany | Arrival and Departure: Jan 22, Apr 15 - Mar 17, Apr 20 |
Preprints
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