Fields Medal Symposium

The Fields Medal Symposium is an annual event that honours one of the Fields Medal recipients from the most recent International Congress of Mathematicians. The symposium is jointly endorsed by the International Mathematical Union and the Fields Institute for Mathematical Sciences. The idea was conceived in preparation for the International Congress of Mathematicians 2010 (ICM2010) in Hyberdad, India. Professor Edward Bierstone of the University of Toronto was the director of the institute during the inaugural symposium in October 2012. All symposiums take place at the Fields Institute in Toronto, Canada. The symposia include mathematical activity that explore work related to the honoured Fields Medallist. They will include public lectures meant to spark interest in mathematics including public lectures and events for students.

Year of Symposium	Organizers	Fields Medalist	Symposium Speakers	Medallists' Distinguished Work
2012 (Inaugural)	James Arthur (chair) Edward Frenkel Gérard Laumon	Ngô Bảo Châu	Ngô Bảo Châu Pierre-Henri Chaudouard Edward Frenkel Michael Harris Tamas Hausel Nigel Hitchin Mark Kisin Laurent Lafforgue Sophie Morel David Nadler Peter Scholze Diana Shelstad Richard Taylor Jean-Loup Waldspurger Edward Witten	Relation of Hitchin fibrations to the Arthur–Selberg trace formula: Proof of the Fundamental Lemma for Lie algebras^[1]
2013	Peter Sarnak (Chair) Alex Eskin Dimitry Jakobson Marina Ratner Ralf Spatzier	Elon Lindenstrauss	Nalini Anantharaman Yves Benoist Jean Bourgain Shimon Brooks Manfred Einsiedler Alex Eskin Hillel Furstenberg Anatole Katok Elon Lindenstrauss Gregory Margulis Shahar Mozes Hee Oh Kannan Soundararajan Masaki Tsukamaoto Benjamin Weiss Tamar Ziegler	2010 Fields Medal for his results on measure rigidity in ergodic theory, and their applications to number theory
2014	Alessio Figalli Robert McCann Clement Mouhot Neil Trudinger	Cédric Villani	Roger-Dominique Bakry Luis Caffarelli Eric Carlen Jeff Cheeger Wilfrid Gangbo Yan Guo Michel Ledoux Monika Ludwig Nader Masmoudi Assaf Naor Felix Otto Tristan Rivière Laure Saint-Raymond Karl-Theodor Sturm Vladimir Sverak Horng-Tzer Yau	2010 Fields Medal for his proofs of nonlinear Landau damping and convergence to equilibrium for the Boltzmann equation.
2015	Ilia Binder John Cardy Kostya Khanin Greg Lawler Gordon Slade Balint Virag Wendelin Werner	Stanislav Smirnov	Michael Aizenman Dmitri Belyaev Alexei Borodin John Cardy Dmitry Chelkak Geoffrey Grimmett Jacek Graczyk Clément Hongler Rick Kenyon Antti Kupiainen Greg Lawler Bernard Nienhuis Dimitry Panchenko Steffen Rohde Scott Sheffield Béatrice de Tilière Anna Zdunik	2010 Fields Medal for the proof of conformal invariance of percolation and the planar Ising model in statistical physics.
2016	Ingrid Daubechies John Friedlander Florian Herzig Kumar Murty Sujatha Ramdorai Jacob Tsimerman	Manjul Bhargava	Eknath Ghate Benedict Gross Piper Harron Wei Ho Melanie Wood Barry Mazur Alison Miller Hee Oh Peter Sarnak Arul Shankar Christopher Skinner Jacob Tsimerman Ila Varma Xiaoheng Wang	2014 Fields Medal for developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves
2017	Jean-Pierre Eckmann Massimiliano Gubinelli Dmitry Panchenko Jeremy Quastel Gigliola Staffilani	Martin Hairer	Gordon Slade Laure Saint-Raymond Hugo Duminil-Copin Horng-Tzer Yau Sylvia Serfaty Lorenzo Zambotti Konstantin Matetski Jean-Christophe Mourrat Hendrik Weber Ajay Chandra Massimiliano Gubinelli Alexei Borodin Jonathan Mattingly Arnaud Debussche Gérard Ben Arous	2014 Fields Medal for outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.
2018	Fanny Kassel Amir Mohammadi Yulan Qing Kasra Rafi	Maryam Mirzakhani	Alex Wright Anna Wienhard Peter Sarnak Simion Filip Howard Masur Hee Oh Scott Wolpert Kathryn Mann Francis Bonahon Juan Souto Alex Eskin Steve Kerckhoff Anton Zorich Ursula Hamenstädt Elon Lindenstrauss Yair Minsky Amie Wilkinson (Public Opening Lecturer)	2014 Fields Medal for her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces.
2019	Giovanni Forni Svetlana Jitomirskaya Konstantin Khanin Raphaël Krikorian Misha Lyubich Michael Yampolsky	Artur Avila	Misha Lyubich Raphaël Krikorian Amie Wilkinson Giovanni Forni Giulio Tiozzo Daniel Smania Zhiyuan Zhang Svetlana Jitomirskaya Dmitry Dolgopyat Sylvain Crovisier Alex Eskin Ursula Hamenstädt Xavier Buff David Damanik	2014 Fields Medal for his profound contributions to dynamical systems theory, which have changed the face of the field, using the powerful idea of renormalization as a unifying principle.
2020	Almut Burchard Luis Caffarelli Jacopo De Simoi Francesco Maggi Robert McCann	Alessio Figalli	Luigi Ambrosio Matteo Bonforte Yann Brenier Xavier Cabré Maria Colombo Guido De Philippis Wilfrid Gangbo Alice Guionnet Young-Heon Kim Connor Mooney Xavier Ros-Oton Sylvia Serfaty Joaquim Serra Enrico Valdinoci
2021	Bhargav Bhatt Ana Caraiani Matthew Satriano Ila Varma	Peter Scholze

Fields Medal Symposium

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