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Camillo DeLellis, The works of Buckmaster, Isett and Vicol in incompressible fluid dynamics

Lásló Székelyhidi, Convex integration and synthetic turbulence

Alex Eskin, Actions of Non-Abelian Groups and Measure Rigidity

David Fisher, Coarse differentiation and quasi-isometries of solvable groups

Alex Eskin, Dynamics of rational billiards

Curtis McMullen, Algebraic dynamics on surfaces

Richard Taylor, The Sato-Tate conjecture

Mark Kisin, Modularity of 2-dimensional Galois representations

Shigefumi Mori for Alessio Corti, Recent progress in higher dimensional algebraic geometry II

Shigefumi Mori, Recent progress in higher dimensional algebraic geometry I

William Thurston, What is the future for 3-dimensional geometry and topology?

Peter Ozsvath, Holomorphic disks and knot invariants

Claire Voisin, Decomposition of the diagonal and nilpotence

Gérard Besson, Collapsing irreducible 3 manifolds with nontrivial fundamental group

Simon Donaldson, Invariants of manifolds and the classification problem

Michael Atiyah, Geometry in 2, 3, and 4 dimensions

Gang Tian, Metric geometry and analysis of 4-manifolds

Mikhail Gromov, What is a manifold?

David Gabai, Volumes of hyperbolic 3-manifolds

Stephen Smale, Problems in topology, pos- Perelman

William Thurston, The mystery of 3-manifolds

John Morgan, History of the Poincaré conjecture

Étienne Ghys, Mathematics is just a talk about groups

Curtis T McMullen, The evolution of geometric structures on 3 manifolds

Bruce Kleiner, Collapsing in Perelman's proof of Thurston's geometrization conjecture

Manjul Bhargava, The average rank of elliptic curves

Mihalis Dafermos, Recent progress in mathematical general relativity

Jonathan Pila, Diophantine geometry via O minimality

Yves Benoist, Stationary measures on finite volume homogeneous spaces (II)