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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

Participants

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

Preprints

  1. Tropicalized quartics and canonical embeddings for tropical curves of genus 3 - Marvin Anas Hahn Hannah Markwig Yue Ren Ilya Tyomkin
  2. Stillman's conjecture via generic initial ideals - Jan Draisma Michal Lason Anton Leykin
  3. Algorithms for Tight Spans and Tropical Linear Spaces - Simon Hampe Michael Joswig Benjamin Schröter
  4. Realization spaces of matroids over hyperfields - Emanuele Delucchi Linard Hoessly Elia Saini
  5. Describing Amoebas - Mounir Nisse Frank Sottile
  6. Polynomials and tensors of bounded strength - Arthur Bik Jan Draisma Rob H. Eggermont
  7. Real tropicalization and analytification of semialgebraic sets - Philipp Jell Claus Scheiderer Josephine Yu
  8. Counts of (tropical) curves in E×P^1 and Feynman integrals - Janko Böhm Christoph Goldner Hannah Markwig
  9. Tropical Mirror Symmetry in Dimension One - Janko Böhm Christoph Goldner Hannah Markwig
  10. Lefschetz (1,1)-theorem in tropical geometry - Philipp Jell Johannes Rau Kristin Shaw
  11. The algebraic boundary of the sonc cone - Jens Forsgård Timo de Wolff
  12. Higher Connectivity of Tropicalizations - Diane Maclagan Josephine Yu
  13. Tropical Carathéodory with Matroids - Georg Loho Raman Sanyal