Weekly Bulletin
The FIM provides a Newsletter called FIM Weekly Bulletin, which is a selection of the mathematics seminars and lectures taking place at ETH Zurich and at the University of Zurich. It is sent by e-mail every Tuesday during the semester, or can be accessed here on this website at any time.
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FIM Weekly Bulletin
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Monday, 20 May | |||
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— no events scheduled today — |
Tuesday, 21 May | |||
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Time | Speaker | Title | Location |
15:00 - 15:50 |
Katrin Wehrheim UC Berkeley |
HG F 26.3 |
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15:15 - 16:15 |
Prof. Dr. Daniele Valtorta Università degli Studi di Milano |
HG G 43 |
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16:00 - 16:50 |
Nathaniel Bottman Max Planck Institute for Mathematics, Bonn |
HG F 26.3 |
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16:30 - 18:15 |
Enrique Zuazua |
Abstract
In this lecture, we will discuss recent results from our group that explore the relationship between control theory and machinevlearning, specifically supervised learning and universal approximation.
We will take a novel approach by considering the simultaneous control of systems of Residual Neural Networks (ResNets). Each item to be classified corresponds to a different initial datum for the ResNet's Cauchy problem, resulting in an ensemble of solutions to be guided to their respective targets using the same control.
We will introduce a nonlinear and constructive method that demonstrates the attainability of this ambitious goal, while also estimating the complexity of the control strategies. This achievement is uncommon in classical dynamical systems in mechanics, and it is largely due to the highly nonlinear nature of the activation function that governs the ResNet dynamics.
This perspective opens up new possibilities for developing hybrid mechanics-data driven modeling methodologies.
Throughout the lecture, we will also address some challenging open problems in this area, providing an overview of the exciting potential for further research and development.
Zurich Colloquium in MathematicsControl and Machine Learningread_more |
KO2 F 150 |
Wednesday, 22 May | |||
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Time | Speaker | Title | Location |
13:30 - 14:30 |
Dr. Mikolaj Fraczyk Jagiellonian University |
HG G 19.1 |
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13:30 - 14:30 |
Prof. Dr. Harald Helfgott CNRS |
HG G 19.1 |
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15:30 - 16:30 |
Harald Helfgott CNRS |
HG G 43 |
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16:30 - 17:30 |
Prof. Dr. Dirk Pauly TU Dresden |
Abstract
We study a new notion of trace and extension operators for abstract Hilbert complexes.
Zurich Colloquium in Applied and Computational MathematicsTraces for Hilbert Complexesread_more |
HG E 1.2 |
Thursday, 23 May | |||
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Time | Speaker | Title | Location |
10:15 - 12:00 |
Umut Çetin London School of Economics |
HG G 43 |
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15:00 - 16:00 |
Agustin Moreno Heidelberg University |
Abstract
In this talk, we will consider a stabilized version of the
fundamental existence problem of symplectic structures
(McDuff--Salamon, Problem 1). Given a formal symplectic manifold,
i.e. a closed manifold M with a non-degenerate 2-form and a
non-degenerate second cohomology class, we investigate when its
natural stabilization to M x T^2 can be realized by a symplectic
form. We show that this can be done whenever the formal symplectic
manifold admits a symplectic divisor.
It follows that the product with T^2 of an almost symplectic blow up
admits a symplectic form. Another corollary is that if a formal
symplectic 4-manifold M, which either satisfies that its
positive/negative second betti numbers are both at least 2, or that is
simply connected, then M x T^2 is symplectic. For instance
(CP^2#CP^2#CP^2)xT^2 is symplectic, even though CP^2#CP^2#CP^2 is not,
by work of Taubes.
These results follow from a stabilized version of Eliashberg--Murphy's
h-principle for symplectic cobordisms, which makes no assumptions on
overtwistedness at the boundary.
This is joint work with Fabio Gironella, Fran Presas, Lauran
Toussaint.
Symplectic Geometry SeminarSymplectic structures from almost symplectic structures. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!read_more |
HG F 26.3 |
16:15 - 18:00 |
Prof. Dr. Charles Collot CY Cergy Paris Université |
Abstract
We consider one dimensional nonlinear Schrodinger equations around a traveling wave. We prove its asymptotic stability for general nonlinearities, under the hypotheses that the orbital stability condition of Grillakis-Shatah-Strauss is satisfied and that the linearized operator does not have a resonance and only has 0 as an eigenvalue. As a by-product of our approach, we show long-range scattering for the radiation remainder. Our proof combines for the first time modulation techniques and the study of space-time resonances. We rely on the use of the distorted Fourier transform, akin to the work of Buslaev and Perelman and, and of Krieger and Schlag, and on precise renormalizations, computations and estimates of space-time resonances to handle its interaction with the soliton. This is joint work with Pierre Germain.
PDE and Mathematical PhysicsAsymptotic stability of traveling waves for one-dimensional nonlinear Schrodinger equationsread_more |
Y27 H 46 |
17:15 - 18:15 |
Prof. Dr. Umut Cetincall_made London School of Economics |
HG G 43 |
Friday, 24 May | |||
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Time | Speaker | Title | Location |
14:15 - 15:15 |
Prof. Dr. Otmar Venjakob Universität Heidelberg |
HG G 43 |
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16:00 - 17:30 |
Dr. Sam Molcho Aarhus University |
HG G 43 |