Abel Lectures 2019
59 videos • 12,890 views • by The Abel Prize
1
Karen Uhlenbeck: Some Thoughts on the Calculus of Variations
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2
Robert Langlands: On the Geometric Theory
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3
Yves Meyer: Detection of gravitational waves and time-frequency wavelets
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4
John Nash: An Interesting Equation
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5
Mikhail Gromov: Powerspace and the bulk problem
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6
Andrew Wiles: Fermat's Last theorem: abelian and non-abelian approaches
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7
Pierre Deligne: Hidden symmetries of algebraic varieties
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8
John Milnor: Spheres
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9
Endre Szemerédi: In every chaos there is an order
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10
Yakov Sinai: Now everything has been started? The origin of deterministic chaos
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11
Endre Szemerédi: Arithmetic progressions and graph theoretic lemmas
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12
Robert Bryant: Limits, Bubbles, and Singularities: The fundamental ideas of Karen Uhlenbeck
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13
Chuu-LianTerng: Solitons in Geometry
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14
Camillo De Lellis: Surely you're joking, Mr. Nash?
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15
Ingrid Daubechies: Wavelet bases: roots, surprises and applications
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16
Henri Darmon: Andrew Wiles' marvelous proof
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17
Frank Morgan: Soap Bubbles and Mathematics
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18
Manjul Bhargava: What is the Birch-Swinnerton-Dyer Conjecture, and what is known about it?
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19
James Arthur: The Langlands program: arithmetic, geometry and analysis
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20
Edward Frenkel: Langlands Program and Unification
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21
Gregory Margulis: Kolmogorov-Sinai entropy and homogeneous dynamics
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22
Domokos Szász: Mathematical billiards and chaos
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23
Nicholas Katz: Life Over Finite Fields
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24
Ravi Vakil: Algebraic geometry and the ongoing unification of mathematics
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25
Claire Voisin: Mixed Hodge structures and the topology of algebraic varieties
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26
László Lovász: The many facets of the Regularity Lemma
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27
Timothy Gowers: The afterlife of Szemerédi's theorem
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28
Curtis McMullen: Manifolds, topology and dynamics
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29
Avi Wigderson: Randomness and pseudorandomness
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30
Michael Hopkins: Bernoulli numbers, homotopy groups, and Milnor
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31
Étienne Ghys: A guided tour of the seventh dimension
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32
John Thompson: Dirichlet series and SL(2,Z)
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33
Jacques Tits: Algebraic simple groups and buildings
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34
Michel Broué: Building Cathedrals and breaking down Reinforced Concrete Walls
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35
George Papanicolaou: Stochastic Analysis in Finance
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36
Srinivasa Varadhan: A Short History of Large Deviations
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37
Alex Lubotzky: Simple groups, buildings and applications
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38
Ofer Zeitouni: Large Deviations at Work
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39
John Tate: The arithmetic of elliptic curves
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40
Terry Lyons: Modelling Diffusive Systems
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41
Sun-Yung Alice Chang: Conformal Invariants and Differential Equations
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42
Peter Lax: Abstract Phragmen-Lindelöf theorem & Saint Venant’s principle
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43
Sebastian Noelle: Systems of conservation laws
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44
Peter Sarnak: Hyperbolic equations and spectral geometry
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45
Stephanos Venakides: Rigorous semiclassical asymptotics for integrable systems
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46
Konstantin Khanin: Between mathematics and physics
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47
Oded Schramm: Conformally Invariant Random Processes
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48
Emmanuel Candès: Wavelets, sparsity and its consequences
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49
Stéphane Mallat: A Wavelet Zoom to Analyze a Multiscale World
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50
Lai-Sang Young: A mathematical Theory of Strange Attractors
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51
Lennart Carleson: A Scandinavian Chapter in Analysis
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52
Tristan Riviere: The work of Louis Nirenberg on Partial Differential Equations
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53
Louis Nirenberg: Some remarks on Mathematics
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54
The Abel lectures: László Lovász and Avi Wigderson
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55
The Abel lectures: Hillel Furstenberg and Gregory Margulis
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56
Sylvia Serfaty: From diffusions to fluid equations: the question of regularity (2023)
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57
Luis Silvestre: Fully nonlinear elliptic equations and applications (2023)
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58
Alessio Figalli: From elastic membranes to ice melting (2023)
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59
Luis Caffarelli: Non-linear and non-local surface structure problems and some of its applications
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