Zurich colloquium in mathematics

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Datum / Zeit

Referent:in

Titel

Ort

22. Oktober 2019
17:15-18:15

Prof. Dr. Peter Bühlmann
ETH Zürich

Details

Titel	Statistical Robustness, Stability and Interpretability of Algorithms
Referent:in, Affiliation	Prof. Dr. Peter Bühlmann, ETH Zürich
Datum, Zeit	22. Oktober 2019, 17:15-18:15
Ort	KO2 F 150

Statistical Robustness, Stability and Interpretability of Algorithms

KO2 F 150

5. November 2019
17:15-18:15

Prof. Dr. William Duke
UCLA, Los Angeles

Details

Titel	Modular forms in arithmetic and geometry
Referent:in, Affiliation	Prof. Dr. William Duke, UCLA, Los Angeles
Datum, Zeit	5. November 2019, 17:15-18:15
Ort	KO2 F 150

Modular forms in arithmetic and geometry

KO2 F 150

19. November 2019
17:15-18:15

Dr. Ana Caraiani
Imperial College, London

Details

Titel	Reciprocity laws for torsion classes
Referent:in, Affiliation	Dr. Ana Caraiani, Imperial College, London
Datum, Zeit	19. November 2019, 17:15-18:15
Ort	KO2 F 150
Abstract	The Langlands program is a vast network of conjectures that connect many areas of pure mathematics, such as number theory, representation theory, and harmonic analysis. At its heart lies reciprocity, the conjectural relationship between Galois representations and modular, or automorphic forms. A famous instance of reciprocity is the modularity of elliptic curves over the rational numbers: this was the key to Wiles’s proof of Fermat’s last theorem. I will give an overview of some recent progress in the Langlands program, with a focus on new reciprocity laws for elliptic curves over imaginary quadratic fields.

Reciprocity laws for torsion classesread_more

KO2 F 150

17. Dezember 2019
17:15-18:15

Prof. Dr. Gigliola Staffilani
MIT

Details

Titel	The Schrödinger equation as inspiration of beautiful mathematics
Referent:in, Affiliation	Prof. Dr. Gigliola Staffilani, MIT
Datum, Zeit	17. Dezember 2019, 17:15-18:15
Ort	KO2 F 150
Abstract	Abstract: In recent years great progress has been made in the study of dispersive and wave equations. The toolbox used in order to attack highly nontrivial problems related to these equations has developed to include a variety of techniques from Fourier and harmonic analysis, analytic number theory, math physics, dynamical systems, probability and symplectic geometry. In this talk I will introduce a variety of problems connected with dispersive equations, such as the derivation of a certain nonlinear Schrodinger equations from a quantum many-particles system, periodic Strichartz estimates, the concept of energy transfer, the invariance of a Gibbs measure associated to an infinite dimension Hamiltonian system, and non-squeezing theorems for such systems when they also enjoy a symplectic structure.

The Schrödinger equation as inspiration of beautiful mathematicsread_more

KO2 F 150

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