Page 7 - 8th European Congress of Mathematics ∙ 20-26 June 2021 ∙ Portorož, Slovenia ∙ Book of Abstracts
P. 7
TENTS
The 8th European Congress of Mathematics 3
Welcome . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
General Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Plenary Speakers 43
Peter Bühlmann: Statistical Learning: Causal-oriented and Robust . . . . . . . . . . . . 44
Xavier Cabré: Stable solutions to semilinear elliptic equations are smooth up to dimension 9 44
Franc Forstnericˇ: Minimal surfaces from a complex analytic viewpoint . . . . . . . . . . 44
Alice Guionnet: Bernoulli Random Matrices . . . . . . . . . . . . . . . . . . . . . . . 44
Gitta Kutyniok: The Mathematics of Deep Learning . . . . . . . . . . . . . . . . . . . 45
Monika Ludwig: Geometric Valuation Theory . . . . . . . . . . . . . . . . . . . . . . 45
Janos Pach: Escaping the curse of dimensionality in combinatorics . . . . . . . . . . . . 47
Alfio Quarteroni: The Beat of Math . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
Karl Theodor Sturm: Metric measure spaces and synthetic Ricci bounds . . . . . . . . . 47
Umberto Zannier: Torsion in algebraic groups and problems which arise . . . . . . . . . 48
Invited Speakers 49
Andrej Bauer: The dawn of formalized mathematics . . . . . . . . . . . . . . . . . . . . 50
Yves Benoist: Positive harmonic functions on the Heisenberg group . . . . . . . . . . . . 52
Robert Berman: From Kähler-Einstein metrics to zeros of zeta functions . . . . . . . . . . 52
Martin Burger: Regularization methods in inverse problems and machine learning . . . . . 52
Albert Cohen: From linear to nonlinear n-width : optimality in reduced modelling . . . . . 52
Marius Crainic: An invitation to Poisson Geometry . . . . . . . . . . . . . . . . . . . . 53
Mirjam Dür: Tackling discrete optimization problems by continuous methods . . . . . . . 53
Alison Etheridge: Modelling the genetics of spatially structured populations . . . . . . . . 53
Rupert Frank: Recent Results on Lieb-Thirring Inequalities . . . . . . . . . . . . . . . . 54
Aleksey Kostenko: Laplacians on infinite graphs . . . . . . . . . . . . . . . . . . . . . 54
Emmanuel Kowalski: Exponential sums over finite fields . . . . . . . . . . . . . . . . . 54
Daniel Kressner: Fast algorithms from low-rank updates . . . . . . . . . . . . . . . . . 55
Daniela Kühn: A proof of the Erdo˝s-Faber-Lovász conjecture . . . . . . . . . . . . . . . 55
Eugenia Malinnikova: Uniqueness results for discrete Schrodinger evolutions . . . . . . . 55
Domenico Marinucci: Some Recent Developments on the Geometry of Random Spherical
Eigenfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Eva Miranda: Looking at Euler flows through a contact mirror: Universality and Turing
completeness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Richard Nickl: Bayesian inverse problems, Gaussian processes, and PDEs . . . . . . . . 57
Burak Özbag˘ci: Topology of symplectic fillings of contact 3-manifolds . . . . . . . . . . . 57
Ilaria Perugia: Nonstandard finite elements for wave problems . . . . . . . . . . . . . . . 58
Gabriel Peyré: Scaling Optimal Transport for High dimensional Learning . . . . . . . . . 58
Yuri Prokhorov: Finite groups of birational transformations . . . . . . . . . . . . . . . . 58
Alexander Razborov: Propositional Proof Complexity . . . . . . . . . . . . . . . . . . 58
Aner Shalev: Subset products and derangements . . . . . . . . . . . . . . . . . . . . . 59
5
The 8th European Congress of Mathematics 3
Welcome . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
General Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Plenary Speakers 43
Peter Bühlmann: Statistical Learning: Causal-oriented and Robust . . . . . . . . . . . . 44
Xavier Cabré: Stable solutions to semilinear elliptic equations are smooth up to dimension 9 44
Franc Forstnericˇ: Minimal surfaces from a complex analytic viewpoint . . . . . . . . . . 44
Alice Guionnet: Bernoulli Random Matrices . . . . . . . . . . . . . . . . . . . . . . . 44
Gitta Kutyniok: The Mathematics of Deep Learning . . . . . . . . . . . . . . . . . . . 45
Monika Ludwig: Geometric Valuation Theory . . . . . . . . . . . . . . . . . . . . . . 45
Janos Pach: Escaping the curse of dimensionality in combinatorics . . . . . . . . . . . . 47
Alfio Quarteroni: The Beat of Math . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
Karl Theodor Sturm: Metric measure spaces and synthetic Ricci bounds . . . . . . . . . 47
Umberto Zannier: Torsion in algebraic groups and problems which arise . . . . . . . . . 48
Invited Speakers 49
Andrej Bauer: The dawn of formalized mathematics . . . . . . . . . . . . . . . . . . . . 50
Yves Benoist: Positive harmonic functions on the Heisenberg group . . . . . . . . . . . . 52
Robert Berman: From Kähler-Einstein metrics to zeros of zeta functions . . . . . . . . . . 52
Martin Burger: Regularization methods in inverse problems and machine learning . . . . . 52
Albert Cohen: From linear to nonlinear n-width : optimality in reduced modelling . . . . . 52
Marius Crainic: An invitation to Poisson Geometry . . . . . . . . . . . . . . . . . . . . 53
Mirjam Dür: Tackling discrete optimization problems by continuous methods . . . . . . . 53
Alison Etheridge: Modelling the genetics of spatially structured populations . . . . . . . . 53
Rupert Frank: Recent Results on Lieb-Thirring Inequalities . . . . . . . . . . . . . . . . 54
Aleksey Kostenko: Laplacians on infinite graphs . . . . . . . . . . . . . . . . . . . . . 54
Emmanuel Kowalski: Exponential sums over finite fields . . . . . . . . . . . . . . . . . 54
Daniel Kressner: Fast algorithms from low-rank updates . . . . . . . . . . . . . . . . . 55
Daniela Kühn: A proof of the Erdo˝s-Faber-Lovász conjecture . . . . . . . . . . . . . . . 55
Eugenia Malinnikova: Uniqueness results for discrete Schrodinger evolutions . . . . . . . 55
Domenico Marinucci: Some Recent Developments on the Geometry of Random Spherical
Eigenfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Eva Miranda: Looking at Euler flows through a contact mirror: Universality and Turing
completeness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Richard Nickl: Bayesian inverse problems, Gaussian processes, and PDEs . . . . . . . . 57
Burak Özbag˘ci: Topology of symplectic fillings of contact 3-manifolds . . . . . . . . . . . 57
Ilaria Perugia: Nonstandard finite elements for wave problems . . . . . . . . . . . . . . . 58
Gabriel Peyré: Scaling Optimal Transport for High dimensional Learning . . . . . . . . . 58
Yuri Prokhorov: Finite groups of birational transformations . . . . . . . . . . . . . . . . 58
Alexander Razborov: Propositional Proof Complexity . . . . . . . . . . . . . . . . . . 58
Aner Shalev: Subset products and derangements . . . . . . . . . . . . . . . . . . . . . 59
5
