Prof. Dr. Sobhan Seyfaddini (ETH Zürich)
The closing lemma and Lagrangian submanifolds abstract
Abstract:
We will discuss the smooth closing lemma for Hamiltonian diffeomorphisms with invariant Lagrangians. Based on joint work with Erman Cineli & Shira Tanny.
13:30 • UZH Irchel, Winterthurerstrasse 190, Zürich, Building Y27, Room H 28
Aitor Iribar López (ETH Zürich)
Complex abelian varieties and their moduli V abstract
Abstract:
The toroidal compactifications of A_g
13:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Philippe Soulier
Simulation and estimation of Gerber Shiu functions: a bootstrap approach abstract
Abstract:
We present estimation methods for values of Gerber-Shiu functions through simulation and bootstrap type algorithms.Joint work with Bartosz Glowacki.
14:00 • EPF Lausanne, Extranef 110
Dr. Alessio Caminata (Università di Genova)
Some Density Results on CSS and CSS-T Quantum Codes abstract
Abstract:
We provide a concise introduction to CSS and CSS-T codes from the perspective of classical coding theory. We demonstrate that pairs of linear codes that yield a CSS code with good correction capability can be easily produced using a randomized construction when the cardinality of the base field is sufficiently large. Next, we prove that CSS-T codes exhibit the opposite behavior, showing that, under very natural assumptions, their rate and relative distance cannot be simultaneously large. We conclude with a simple construction of CSS-T codes derived from Hermitian curves. This is joint work with Elena Berardini and Alberto Ravagnani.
15:00 • Uni Neuchatel, B217
Francesco Fournier-Facio (University of Cambridge)
Bounded cohomology of transformation groups of R^n abstract
Abstract:
Bounded cohomology is a functional analytic analogue of group cohomology, with many applications in rigidity theory, geometric group theory, and geometric topology. A major drawback is the lack of excision, and because of this some basic computations are currently out of reach; in particular the bounded cohomology of some “small” groups, such as the free group, is still mysterious. On the other hand, in the past few years full computations have been carried out for some “big” groups, most notably transformation groups of R^n, where the ordinary cohomology is not yet completely understood. I will report on this recent progress, which will include joint work with Caterina Campagnolo, Yash Lodha and Marco Moraschini, and joint work with Nicolas Monod, Sam Nariman and Sander Kupers.
15:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Prof. Dr. Fatih Ecevit (Dept. of Mathematics, Boğaziçi University)
High-frequency BEM for sound-soft/hard multiple scattering and applications to the scattering amplitude abstract
Abstract:
We present our recent developments on the asymptotic expansions of high-frequency multiple scattering iterations in the exterior of sound-hard scatterers. As in the sound-soft case, these expansions lead into wavenumber dependent estimates on the derivatives (of all orders) of the multiple scattering iterations which, in turn, allow for the design and analysis of Galerkin boundary element methods (BEM) for their frequency independent approximation. We also present preliminary theoretical developments related to the accurate approximation of the remaining infinite tail in the Neumann series formulation of multiple scattering problems.Time permitting, in the second part of the talk, we present our preliminary results on the frequency independent approximation of the sound-soft scattering amplitude based on Bayliss-Turkel type local approximations to the Dirichlet-to-Neumann operator. Joint with: Y. Boubendir (NJIT) and S. Lazergui (NJIT)
16:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 19.2
Michael Schaller (Institut für Mathematik, Universität Zürich)
BIKE and its Relation to Lattices over Polynomial Rings abstract
Abstract:
In this talk we study the BIKE cryptosystem. We will introduce a lattice over a polynomial ring which we construct from the public key. The private key is a vector in this lattice with special properties (being sparse). We study the properties of this lattice. Furthermore, using this framework we will reformulate a previous work about weak keys for BIKE in terms of this lattice and show that their weak keys correspond to shortest vectors in this rank 2 lattice. Instead of only finding the shortest vector, we are able to construct a reduced basis and generalize their attack. We also propose new problems which arise from the reformulation of their attack in terms of lattices.
16:30 • Uni Neuchatel, B217
Prof. Dr. Jean Bertoin (Universität Zürich, Switzerland)
Graduate Workshop Reinforcement
17:15 • UZH Irchel, Winterthurerstrasse 190, Zürich, Building Y27, Room H26