Brita Nucinkis (Royal Holloway, University of London)
Cohomological methods in group theory
10:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Goran Popivoda (University of Montenegro, Podgorica)
Extremes of conditionally Gaussian processes abstract
Abstract:
For a random element (X, Y ) the component Y is called a random environment, and X is called a random element in the random environment if the properties of X are subject of primary interest, whereas the properties of Y can influence X.
Gaussian processes in a random environment, that is, Gaussian processes with random parameters (mean/trend, covariance), are called conditionally Gaussian processes, and they significantly extend the class of processes whose extremes can be studied with the techniques applied to Gaussian processes. For calculating the exact asymptotic behavior of the probability of large extremes of a conditionally Gaussian process, it is necessary to calculate this probability using fixed, non-random parameters, and then average the behavior over all the states of the parameter.
This talk gives a summary of our findings in this field.Joint work with Sinisa Stamatovic.
11:00 • EPF Lausanne, UniL campus, Internef building room 123
Damien Calaque (Université de Montpellier)
13:15 • Université de Genève, Conseil Général 7-9, Room 1-15
Jérôme Poineau (Université de Caen)
Torsion points of elliptic curves via Berkovich spaces over Z abstract
Abstract:
Berkovich spaces over Z may be seen as fibrations containing complex analytic spaces as well as p-adic analytic spaces, for every prime number p. We will give an introduction to those spaces and explain how they may be used in an arithmetic context to prove height inequalities. As an application, following a strategy by DeMarco-Krieger-Ye, we will give a proof of a conjecture of Bogomolov-Fu-Tschinkel on uniform bounds on the number of common images on P^1 of torsion points of two elliptic curves.
14:15 • Universität Basel, Spiegelgasse 5, SR 05.002
Rita Teixeira da Costa (University of Cambridge)
The Teukolsky equation in the full subextremal range abstract
Abstract:
The Teukolsky equation is one of the fundamental equations governing linear gravitational perturbations of the Kerr black hole family as solutions to the vacuum Einstein equations. We show that solutions arising from suitably regular initial data decay inverse polynomially in time. Our proof holds for the entire subextremal range of Kerr black hole parameters, \\(\\vert a\\vert < M\\). This is joint work with Yakov Shlapentokh-Rothman (Toronto).
16:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 19.1
Peter Koymans (University of Michigan)
Counting nilpotent extensions abstract
Abstract:
We discuss some recent progress towards the strong form of Malle’s conjecture. Even for nilpotent extensions, only very few cases of this conjecture are currently known. We show how equidistribution of Frobenius elements plays an essential role in this problem and how this can be used to make further progress towards Malle’s conjecture. We will also discuss applications to the Massey vanishing conjecture and to lifting problems. This is joint work with Carlo Pagano.
17:00 • Universität Basel, online Seminar
Prof. Dr. Vincent Tassion (ETH Zürich, Switzerland)
Noise sensitivity of percolation abstract
Abstract:
Consider critical site Bernoulli percolation on the triangular lattice, where each vertex is colored black or white with probability 1/2, independently of the other vertices. In 1999, Benjamini, Kalai and Schramm proved that crossing probabilities are noise sensitive: resampling a small proportion of the vertices lead to an independent percolation picture. Ten years later, Garban, Pete and Schramm obtained a sharp quantitative version of this result. These works rely on Fourier analysis, and are restricted to Bernoulli percolation (i.e. product measure) and the independent resampling dynamics. In this talk, we will first introduce and discuss the general question of noise sensitivity, focusing mostly on percolation applications. Then we will present a recent and robust approach that relies on geometrical arguments and not on spectral methods.Based on joint works with Hugo Vanneuville.
17:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43