Fields Medal Symposium Explained

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.

List of Symposium Honorees

Year of SymposiumOrganizersFields MedalistSymposium SpeakersMedallists' Distinguished Work
2012 (Inaugural) Relation of Hitchin fibrations to the Arthur–Selberg trace formula: Proof of the Fundamental Lemma for Lie algebras[1]
2013Peter Sarnak (Chair)

Alex Eskin

Dimitry Jakobson

Marina Ratner

Ralf Spatzier

Elon LindenstraussNalini 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
2014Alessio FigalliRobert McCann

Clement Mouhot

Neil Trudinger

Cédric VillaniRoger-Dominique BakryLuis 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.
2015Ilia BinderJohn Cardy

Kostya Khanin

Greg Lawler

Gordon Slade

Balint Virag

Wendelin Werner

Stanislav SmirnovMichael AizenmanDmitri 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.
2016Ingrid DaubechiesJohn Friedlander

Florian Herzig

Kumar Murty

Sujatha Ramdorai

Jacob Tsimerman

Manjul BhargavaEknath GhateBenedict 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 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.
2018Fanny KasselAmir Mohammadi

Yulan Qing

Kasra Rafi

Maryam MirzakhaniAlex 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.
2019Giovanni Forni

Svetlana Jitomirskaya

Konstantin Khanin

Raphaël Krikorian

Misha Lyubich

Michael Yampolsky

Artur AvilaMisha 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.
2020Almut Burchard

Jacopo De Simoi

Francesco Maggi

Luigi AmbrosioMatteo 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

Matthew Satriano

Ila Varma

References

Notes and References

  1. Hales. Thomas. The Work of Ngo Bao Chau. 1012.0382. math.NT. 2010.